Jan – March 2011 Shari Alexander Scott Harper Benny Lile Dinah Wallace

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Jan – March 2011 Shari Alexander Scott Harper Benny Lile Dinah Wallace. National Movement. Mathematics and English/ Language 2010 39 States & 2 Territories have joined Common Core Standards Initiative. KY’S VISION. “…from a teaching-focused-classroom - PowerPoint PPT Presentation

Transcript

Jan ndash March Jan ndash March 20112011

Shari AlexanderShari AlexanderScott HarperScott Harper

Benny LileBenny LileDinah WallaceDinah Wallace

ldquohellipfrom a teaching-focused-classroom

to a learning-focused-classroomhelliprdquo

Dr Holliday Commissioner of Education

KYrsquoS VISIONKYrsquoS VISION

bull Mathematics and English Language 2010

bull 39 States amp 2 Territories have joined Common Core Standards Initiative

National National MovementMovement

1 Priority is STUDENT LEARNING

New Standards in EnglishLanguage Arts and Math (Fewer Clearer Higher For all students to be collegecareer ready)Revised Accountability Model (Achievement Gap Growth CollegeCareer Readiness Graduation Rate Program Reviews EPAS system End of Course Assessments)Improve Effectiveness of Teaching and Learning (CHETL)Balanced AssessmentAssessment Literacy (CASL)

Puts the Pieces Together - Nationally

Creating the National Common Core Standards in Mathematics and EnglishLanguage Arts has been a collaborative effort between state departments of education teachers experts in a wide array of fields and numerous professional organizations based on national work amp research from best work of states and high-performing nations frameworks developed for the National Assessment

of Educational Progress (NAEP) academic research of Marzano Stiggins Fullan and

others curriculum surveys amp assessment data on college-

and career-ready performance Input from educators at all levels and from a variety

of subjects

Puts the Pieces Together - KYLeadership Networks Vision

Every school district in the Commonwealth of Kentucky has a knowledgeable and cohesive leadership team that guides the professional learning and practice of all administrators teachers and staff so that every student experiences highly effective teaching learning and assessment practices in every classroom every day

Result = Every Student ProficientResult = Every Student Proficient and Prepared for Successand Prepared for Success

Puts the Pieces Together - KY

Content Leadership Networksbull Focus on teacher and teacher leaders

Administrator Leadership Networksbull Building level administrators

Instructional Supervisor Networks Superintendents Network Higher Education Networks

Overview of P-20 Leadership Networksbull Research based approach to delivering large scale

professional development and professional learning communities

bull Focus on building district and school level capacitybull Investment and commitment to change at the classroom levelbull Focus on highly effective teaching and learning

Teacher Content Leadership Work

Deconstructing Standards -StandardBenchmark

Knowledge

Reasoning

Skill

ProductSTANDARDSTARGETSMETHODSCOMMUNICATION OF RESULTS

StandardBenchmark _______________________________________________________________________________________________________________________________________________________

Type Knowledge Reasoning Skill Product

Learning Targets ndash Teacher Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

Knowledge Targets Reasoning Targets Skill Targets Product Targets

ldquoI Canrdquo Learning Targets ndash Student Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

Knowledge Targets Reasoning Targets Skill Targets Product Targets

Page 1

Teacher Content Leadership Work

Deconstructing Standards -

Next stepshellip

StandardBenchmark

Knowledge

Reasoning

Skill

Product

Page 2

AssessmentsHow will I assess to promote the learning and audit the achievement of the targets and standard

Assessment(s) FORFormative

OFSummative

Assessment(s) FORFormative

OFSummative

Assessment(s) FORFormative

OFSummative

Assessment(s) FORFormative

OFSummative

Selected responseExt written responsePersonal Communication

Selected responseExt written responsePerformancePersonal Communication

PerformancePersonal Communication

Performance

Communication of ResultsHow will I communicate the learning and the achievement

Assessments FOR Learning Formative Assessments OF Learning Summative resulting in reporting of learninggrowth resulting in grading of achievement

FORFormative ndash Report

OFSummative - Grade

FORFormative ndash Report

OFSummative - Grade

FORFormative ndash Report

OFSummative - Grade

FORFormative ndash Report

OFSummative - Grade

Common Core State Standards

(CCSS)

Kentucky Core Academic

Standards(KCAS)

Common Core Standards

Common Core Standards work - Nationalbullhttpwwwcorestandardsorg

Common Core Standards work at KDE ndash now adopting as KY Core Academic Standards

bullProgram of Studies being updated to reflect adoption of CCS ndash 571 page document is on web for public review httpwwweducationkygovusersotlPOSPOS20with20CCS20for20public20reviewpdf

bullhttpwwweducationkygovKDEInstructional+ResourcesCurriculum+Documents+and+ResourcesCCS+Resources

The Common Core State Standards focus on core conceptual understandings and procedures starting in the early grades thus enabling teachers to take the time needed to teach core concepts and procedures wellmdashand to give students the opportunity to master them

Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

Overview The math standards start with a one-page overview highlighting what is most important

12

Simple overview provides all key information at a glance

Click for close uphellip

Overview The math standards start with a one-page overview highlighting what is most important

13

Simple overview provides all key information at a glance

Click for close uphellip

Fewer standards to address

Examples make standards more concrete

KY 4th Grade Math CCSS 4th Grade Math

5 big ideas 5 domains

23 understanding standards

10 clusters

78 skill and concept standards

28 standards

14

15 pages 5 pages

Represent and interpret databull Make a line plot to display a data set of measurements in

fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

DomainsOperations and

Algebraic Thinking

Number amp Operations in Base Ten

Number amp Operations Fractions

Measurement and Data Geometry

Clusters

Use the four operations with whole numbers to solve problems

Gain familiarity with factors and multiples

Generate and analyze patterns

Generalize place value understanding for multi-digit whole numbers

Use place value understanding and properties of operations to perform multi-digit arithmetic

Extend understanding of fraction equivalence and ordering

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

Understand decimal notation for fractions and compare decimal fractions

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

Represent and interpret data

Geometric measurement understand concepts of angle and measure angles

Draw and identify lines and angles and classify shapes by properties of their lines and angles

Mathematical

Practices

1 Make sense of problems and persevere in solving them

2 Reason abstractly and quantitatively

1 Construct viable arguments and critique the reasoning of others

2 Model with mathematics

1 Use appropriate tools strategically

2 Attend to precision

1 Look for and make use of structure

2 Look for and express regularity in repeated reasoning

In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

KCAS Progression Document

Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

Grade 3 Grade 4 Grade 5

Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

Understand properties of multiplication and the relationship between multiplication and division

3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

Solve problems involving the four operations and identify and explain patterns in arithmetic

3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

Concepts New to Grade Level Grade Concepts Moved From Grade Level

4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

problems to find unknown angles on a diagram in real world and mathematical problems

4G2 Classify two-dimensional figures based presence or absence of attributes

(parallel or perpendicular lines)

4th Kindergarten Attributes of basic three-dimensional

objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

Identify basic two-dimensional figures in different orientations

3rd grade Attributes of two dimensional shapes and

shapes that share attributes can define larger categories

Represent and interpret data-bar graphs and pictographs (also 2nd grade)

The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

5th grade Identify and graph ordered pairs on a

positive coordinate system (Quadrant 1)

Grade Level Shift Document

Emphasis on preparing students for college and the careers of the 21st Century

18

Anchor standards serve as the spine for all ELA grade levels

ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

building complexity as the grades increase

StrandsWithin each set the anchors are divided into strands

Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

Appendices with exemplar texts performance tasks student work

Literacy skills are integrated into science social studies and technical subjects

20

Literacy skills are integrated into science social studies and technical subjects

21

Supporting the Common Core

Implementation

TheThe HowHow amp amp

How WellHow Well

bull Marzano identified nine

instructional strategies

that enhance student

achievement

bull Barren Co focus for

past few years

One mark of an effective

teacher is the ability to

use an array of research-

based instructional

strategieshellip

We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

Professional Development

is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

Assessment for Learning

Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

have grade or a statement of level of mastery

Assessment for Learning

With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

practices can dramatically improve student motivation and learning

Assessment for learning strategies address the information needs of both teachers and students

Assessment for LearningFive Keys to Quality Classroom Assessments

Stiggins et al (2004) p 13

Letrsquos take a Letrsquos take a closer look closer look

at the at the Common Common

Core State Core State StandardsStandards

  • Slide 1
  • Slide 2
  • Slide 3
  • Puts the Pieces Together - Nationally
  • Puts the Pieces Together - KY
  • Slide 6
  • Teacher Content Leadership Work
  • Slide 8
  • Slide 9
  • Common Core Standards
  • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
  • Slide 12
  • Slide 13
  • Slide 14
  • KCAS Progression Document
  • Grade Level SpanhellipMath Sample
  • Grade Level Shift Document
  • Emphasis on preparing students for college and the careers of the 21st Century
  • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
  • Literacy skills are integrated into science social studies and technical subjects
  • Slide 21
  • Slide 22
  • Slide 23
  • Slide 24
  • Slide 25
  • Slide 26
  • Assessment for Learning
  • Slide 28
  • Slide 29
  • Assessment for Learning Five Keys to Quality Classroom Assessments
  • Slide 31

    ldquohellipfrom a teaching-focused-classroom

    to a learning-focused-classroomhelliprdquo

    Dr Holliday Commissioner of Education

    KYrsquoS VISIONKYrsquoS VISION

    bull Mathematics and English Language 2010

    bull 39 States amp 2 Territories have joined Common Core Standards Initiative

    National National MovementMovement

    1 Priority is STUDENT LEARNING

    New Standards in EnglishLanguage Arts and Math (Fewer Clearer Higher For all students to be collegecareer ready)Revised Accountability Model (Achievement Gap Growth CollegeCareer Readiness Graduation Rate Program Reviews EPAS system End of Course Assessments)Improve Effectiveness of Teaching and Learning (CHETL)Balanced AssessmentAssessment Literacy (CASL)

    Puts the Pieces Together - Nationally

    Creating the National Common Core Standards in Mathematics and EnglishLanguage Arts has been a collaborative effort between state departments of education teachers experts in a wide array of fields and numerous professional organizations based on national work amp research from best work of states and high-performing nations frameworks developed for the National Assessment

    of Educational Progress (NAEP) academic research of Marzano Stiggins Fullan and

    others curriculum surveys amp assessment data on college-

    and career-ready performance Input from educators at all levels and from a variety

    of subjects

    Puts the Pieces Together - KYLeadership Networks Vision

    Every school district in the Commonwealth of Kentucky has a knowledgeable and cohesive leadership team that guides the professional learning and practice of all administrators teachers and staff so that every student experiences highly effective teaching learning and assessment practices in every classroom every day

    Result = Every Student ProficientResult = Every Student Proficient and Prepared for Successand Prepared for Success

    Puts the Pieces Together - KY

    Content Leadership Networksbull Focus on teacher and teacher leaders

    Administrator Leadership Networksbull Building level administrators

    Instructional Supervisor Networks Superintendents Network Higher Education Networks

    Overview of P-20 Leadership Networksbull Research based approach to delivering large scale

    professional development and professional learning communities

    bull Focus on building district and school level capacitybull Investment and commitment to change at the classroom levelbull Focus on highly effective teaching and learning

    Teacher Content Leadership Work

    Deconstructing Standards -StandardBenchmark

    Knowledge

    Reasoning

    Skill

    ProductSTANDARDSTARGETSMETHODSCOMMUNICATION OF RESULTS

    StandardBenchmark _______________________________________________________________________________________________________________________________________________________

    Type Knowledge Reasoning Skill Product

    Learning Targets ndash Teacher Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

    Knowledge Targets Reasoning Targets Skill Targets Product Targets

    ldquoI Canrdquo Learning Targets ndash Student Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

    Knowledge Targets Reasoning Targets Skill Targets Product Targets

    Page 1

    Teacher Content Leadership Work

    Deconstructing Standards -

    Next stepshellip

    StandardBenchmark

    Knowledge

    Reasoning

    Skill

    Product

    Page 2

    AssessmentsHow will I assess to promote the learning and audit the achievement of the targets and standard

    Assessment(s) FORFormative

    OFSummative

    Assessment(s) FORFormative

    OFSummative

    Assessment(s) FORFormative

    OFSummative

    Assessment(s) FORFormative

    OFSummative

    Selected responseExt written responsePersonal Communication

    Selected responseExt written responsePerformancePersonal Communication

    PerformancePersonal Communication

    Performance

    Communication of ResultsHow will I communicate the learning and the achievement

    Assessments FOR Learning Formative Assessments OF Learning Summative resulting in reporting of learninggrowth resulting in grading of achievement

    FORFormative ndash Report

    OFSummative - Grade

    FORFormative ndash Report

    OFSummative - Grade

    FORFormative ndash Report

    OFSummative - Grade

    FORFormative ndash Report

    OFSummative - Grade

    Common Core State Standards

    (CCSS)

    Kentucky Core Academic

    Standards(KCAS)

    Common Core Standards

    Common Core Standards work - Nationalbullhttpwwwcorestandardsorg

    Common Core Standards work at KDE ndash now adopting as KY Core Academic Standards

    bullProgram of Studies being updated to reflect adoption of CCS ndash 571 page document is on web for public review httpwwweducationkygovusersotlPOSPOS20with20CCS20for20public20reviewpdf

    bullhttpwwweducationkygovKDEInstructional+ResourcesCurriculum+Documents+and+ResourcesCCS+Resources

    The Common Core State Standards focus on core conceptual understandings and procedures starting in the early grades thus enabling teachers to take the time needed to teach core concepts and procedures wellmdashand to give students the opportunity to master them

    Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

    Overview The math standards start with a one-page overview highlighting what is most important

    12

    Simple overview provides all key information at a glance

    Click for close uphellip

    Overview The math standards start with a one-page overview highlighting what is most important

    13

    Simple overview provides all key information at a glance

    Click for close uphellip

    Fewer standards to address

    Examples make standards more concrete

    KY 4th Grade Math CCSS 4th Grade Math

    5 big ideas 5 domains

    23 understanding standards

    10 clusters

    78 skill and concept standards

    28 standards

    14

    15 pages 5 pages

    Represent and interpret databull Make a line plot to display a data set of measurements in

    fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

    DomainsOperations and

    Algebraic Thinking

    Number amp Operations in Base Ten

    Number amp Operations Fractions

    Measurement and Data Geometry

    Clusters

    Use the four operations with whole numbers to solve problems

    Gain familiarity with factors and multiples

    Generate and analyze patterns

    Generalize place value understanding for multi-digit whole numbers

    Use place value understanding and properties of operations to perform multi-digit arithmetic

    Extend understanding of fraction equivalence and ordering

    Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

    Understand decimal notation for fractions and compare decimal fractions

    Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

    Represent and interpret data

    Geometric measurement understand concepts of angle and measure angles

    Draw and identify lines and angles and classify shapes by properties of their lines and angles

    Mathematical

    Practices

    1 Make sense of problems and persevere in solving them

    2 Reason abstractly and quantitatively

    1 Construct viable arguments and critique the reasoning of others

    2 Model with mathematics

    1 Use appropriate tools strategically

    2 Attend to precision

    1 Look for and make use of structure

    2 Look for and express regularity in repeated reasoning

    In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

    Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

    2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

    Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

    3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

    Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

    KCAS Progression Document

    Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

    Grade 3 Grade 4 Grade 5

    Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

    total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

    3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

    3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

    3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

    Understand properties of multiplication and the relationship between multiplication and division

    3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

    3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

    Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

    the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

    Solve problems involving the four operations and identify and explain patterns in arithmetic

    3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

    3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

    Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

    35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

    4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

    4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

    Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

    Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

    Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

    Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

    Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

    and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

    and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

    Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

    apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

    Concepts New to Grade Level Grade Concepts Moved From Grade Level

    4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

    visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

    equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

    of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

    problems to find unknown angles on a diagram in real world and mathematical problems

    4G2 Classify two-dimensional figures based presence or absence of attributes

    (parallel or perpendicular lines)

    4th Kindergarten Attributes of basic three-dimensional

    objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

    Identify basic two-dimensional figures in different orientations

    3rd grade Attributes of two dimensional shapes and

    shapes that share attributes can define larger categories

    Represent and interpret data-bar graphs and pictographs (also 2nd grade)

    The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

    5th grade Identify and graph ordered pairs on a

    positive coordinate system (Quadrant 1)

    Grade Level Shift Document

    Emphasis on preparing students for college and the careers of the 21st Century

    18

    Anchor standards serve as the spine for all ELA grade levels

    ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

    ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

    building complexity as the grades increase

    StrandsWithin each set the anchors are divided into strands

    Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

    StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

    Appendices with exemplar texts performance tasks student work

    Literacy skills are integrated into science social studies and technical subjects

    20

    Literacy skills are integrated into science social studies and technical subjects

    21

    Supporting the Common Core

    Implementation

    TheThe HowHow amp amp

    How WellHow Well

    bull Marzano identified nine

    instructional strategies

    that enhance student

    achievement

    bull Barren Co focus for

    past few years

    One mark of an effective

    teacher is the ability to

    use an array of research-

    based instructional

    strategieshellip

    We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

    Professional Development

    is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

    The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

    The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

    Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

    CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

    CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

    CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

    Assessment for Learning

    Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

    The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

    bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

    have grade or a statement of level of mastery

    Assessment for Learning

    With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

    practices can dramatically improve student motivation and learning

    Assessment for learning strategies address the information needs of both teachers and students

    Assessment for LearningFive Keys to Quality Classroom Assessments

    Stiggins et al (2004) p 13

    Letrsquos take a Letrsquos take a closer look closer look

    at the at the Common Common

    Core State Core State StandardsStandards

    • Slide 1
    • Slide 2
    • Slide 3
    • Puts the Pieces Together - Nationally
    • Puts the Pieces Together - KY
    • Slide 6
    • Teacher Content Leadership Work
    • Slide 8
    • Slide 9
    • Common Core Standards
    • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
    • Slide 12
    • Slide 13
    • Slide 14
    • KCAS Progression Document
    • Grade Level SpanhellipMath Sample
    • Grade Level Shift Document
    • Emphasis on preparing students for college and the careers of the 21st Century
    • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
    • Literacy skills are integrated into science social studies and technical subjects
    • Slide 21
    • Slide 22
    • Slide 23
    • Slide 24
    • Slide 25
    • Slide 26
    • Assessment for Learning
    • Slide 28
    • Slide 29
    • Assessment for Learning Five Keys to Quality Classroom Assessments
    • Slide 31

      1 Priority is STUDENT LEARNING

      New Standards in EnglishLanguage Arts and Math (Fewer Clearer Higher For all students to be collegecareer ready)Revised Accountability Model (Achievement Gap Growth CollegeCareer Readiness Graduation Rate Program Reviews EPAS system End of Course Assessments)Improve Effectiveness of Teaching and Learning (CHETL)Balanced AssessmentAssessment Literacy (CASL)

      Puts the Pieces Together - Nationally

      Creating the National Common Core Standards in Mathematics and EnglishLanguage Arts has been a collaborative effort between state departments of education teachers experts in a wide array of fields and numerous professional organizations based on national work amp research from best work of states and high-performing nations frameworks developed for the National Assessment

      of Educational Progress (NAEP) academic research of Marzano Stiggins Fullan and

      others curriculum surveys amp assessment data on college-

      and career-ready performance Input from educators at all levels and from a variety

      of subjects

      Puts the Pieces Together - KYLeadership Networks Vision

      Every school district in the Commonwealth of Kentucky has a knowledgeable and cohesive leadership team that guides the professional learning and practice of all administrators teachers and staff so that every student experiences highly effective teaching learning and assessment practices in every classroom every day

      Result = Every Student ProficientResult = Every Student Proficient and Prepared for Successand Prepared for Success

      Puts the Pieces Together - KY

      Content Leadership Networksbull Focus on teacher and teacher leaders

      Administrator Leadership Networksbull Building level administrators

      Instructional Supervisor Networks Superintendents Network Higher Education Networks

      Overview of P-20 Leadership Networksbull Research based approach to delivering large scale

      professional development and professional learning communities

      bull Focus on building district and school level capacitybull Investment and commitment to change at the classroom levelbull Focus on highly effective teaching and learning

      Teacher Content Leadership Work

      Deconstructing Standards -StandardBenchmark

      Knowledge

      Reasoning

      Skill

      ProductSTANDARDSTARGETSMETHODSCOMMUNICATION OF RESULTS

      StandardBenchmark _______________________________________________________________________________________________________________________________________________________

      Type Knowledge Reasoning Skill Product

      Learning Targets ndash Teacher Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

      Knowledge Targets Reasoning Targets Skill Targets Product Targets

      ldquoI Canrdquo Learning Targets ndash Student Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

      Knowledge Targets Reasoning Targets Skill Targets Product Targets

      Page 1

      Teacher Content Leadership Work

      Deconstructing Standards -

      Next stepshellip

      StandardBenchmark

      Knowledge

      Reasoning

      Skill

      Product

      Page 2

      AssessmentsHow will I assess to promote the learning and audit the achievement of the targets and standard

      Assessment(s) FORFormative

      OFSummative

      Assessment(s) FORFormative

      OFSummative

      Assessment(s) FORFormative

      OFSummative

      Assessment(s) FORFormative

      OFSummative

      Selected responseExt written responsePersonal Communication

      Selected responseExt written responsePerformancePersonal Communication

      PerformancePersonal Communication

      Performance

      Communication of ResultsHow will I communicate the learning and the achievement

      Assessments FOR Learning Formative Assessments OF Learning Summative resulting in reporting of learninggrowth resulting in grading of achievement

      FORFormative ndash Report

      OFSummative - Grade

      FORFormative ndash Report

      OFSummative - Grade

      FORFormative ndash Report

      OFSummative - Grade

      FORFormative ndash Report

      OFSummative - Grade

      Common Core State Standards

      (CCSS)

      Kentucky Core Academic

      Standards(KCAS)

      Common Core Standards

      Common Core Standards work - Nationalbullhttpwwwcorestandardsorg

      Common Core Standards work at KDE ndash now adopting as KY Core Academic Standards

      bullProgram of Studies being updated to reflect adoption of CCS ndash 571 page document is on web for public review httpwwweducationkygovusersotlPOSPOS20with20CCS20for20public20reviewpdf

      bullhttpwwweducationkygovKDEInstructional+ResourcesCurriculum+Documents+and+ResourcesCCS+Resources

      The Common Core State Standards focus on core conceptual understandings and procedures starting in the early grades thus enabling teachers to take the time needed to teach core concepts and procedures wellmdashand to give students the opportunity to master them

      Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

      Overview The math standards start with a one-page overview highlighting what is most important

      12

      Simple overview provides all key information at a glance

      Click for close uphellip

      Overview The math standards start with a one-page overview highlighting what is most important

      13

      Simple overview provides all key information at a glance

      Click for close uphellip

      Fewer standards to address

      Examples make standards more concrete

      KY 4th Grade Math CCSS 4th Grade Math

      5 big ideas 5 domains

      23 understanding standards

      10 clusters

      78 skill and concept standards

      28 standards

      14

      15 pages 5 pages

      Represent and interpret databull Make a line plot to display a data set of measurements in

      fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

      DomainsOperations and

      Algebraic Thinking

      Number amp Operations in Base Ten

      Number amp Operations Fractions

      Measurement and Data Geometry

      Clusters

      Use the four operations with whole numbers to solve problems

      Gain familiarity with factors and multiples

      Generate and analyze patterns

      Generalize place value understanding for multi-digit whole numbers

      Use place value understanding and properties of operations to perform multi-digit arithmetic

      Extend understanding of fraction equivalence and ordering

      Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

      Understand decimal notation for fractions and compare decimal fractions

      Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

      Represent and interpret data

      Geometric measurement understand concepts of angle and measure angles

      Draw and identify lines and angles and classify shapes by properties of their lines and angles

      Mathematical

      Practices

      1 Make sense of problems and persevere in solving them

      2 Reason abstractly and quantitatively

      1 Construct viable arguments and critique the reasoning of others

      2 Model with mathematics

      1 Use appropriate tools strategically

      2 Attend to precision

      1 Look for and make use of structure

      2 Look for and express regularity in repeated reasoning

      In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

      Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

      2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

      Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

      3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

      Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

      KCAS Progression Document

      Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

      Grade 3 Grade 4 Grade 5

      Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

      total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

      3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

      3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

      3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

      Understand properties of multiplication and the relationship between multiplication and division

      3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

      3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

      Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

      the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

      Solve problems involving the four operations and identify and explain patterns in arithmetic

      3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

      3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

      Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

      35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

      4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

      4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

      Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

      Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

      Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

      Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

      Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

      and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

      and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

      Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

      apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

      Concepts New to Grade Level Grade Concepts Moved From Grade Level

      4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

      visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

      equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

      of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

      problems to find unknown angles on a diagram in real world and mathematical problems

      4G2 Classify two-dimensional figures based presence or absence of attributes

      (parallel or perpendicular lines)

      4th Kindergarten Attributes of basic three-dimensional

      objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

      Identify basic two-dimensional figures in different orientations

      3rd grade Attributes of two dimensional shapes and

      shapes that share attributes can define larger categories

      Represent and interpret data-bar graphs and pictographs (also 2nd grade)

      The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

      5th grade Identify and graph ordered pairs on a

      positive coordinate system (Quadrant 1)

      Grade Level Shift Document

      Emphasis on preparing students for college and the careers of the 21st Century

      18

      Anchor standards serve as the spine for all ELA grade levels

      ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

      ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

      building complexity as the grades increase

      StrandsWithin each set the anchors are divided into strands

      Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

      StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

      Appendices with exemplar texts performance tasks student work

      Literacy skills are integrated into science social studies and technical subjects

      20

      Literacy skills are integrated into science social studies and technical subjects

      21

      Supporting the Common Core

      Implementation

      TheThe HowHow amp amp

      How WellHow Well

      bull Marzano identified nine

      instructional strategies

      that enhance student

      achievement

      bull Barren Co focus for

      past few years

      One mark of an effective

      teacher is the ability to

      use an array of research-

      based instructional

      strategieshellip

      We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

      Professional Development

      is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

      The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

      The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

      Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

      CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

      CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

      CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

      Assessment for Learning

      Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

      The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

      bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

      have grade or a statement of level of mastery

      Assessment for Learning

      With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

      practices can dramatically improve student motivation and learning

      Assessment for learning strategies address the information needs of both teachers and students

      Assessment for LearningFive Keys to Quality Classroom Assessments

      Stiggins et al (2004) p 13

      Letrsquos take a Letrsquos take a closer look closer look

      at the at the Common Common

      Core State Core State StandardsStandards

      • Slide 1
      • Slide 2
      • Slide 3
      • Puts the Pieces Together - Nationally
      • Puts the Pieces Together - KY
      • Slide 6
      • Teacher Content Leadership Work
      • Slide 8
      • Slide 9
      • Common Core Standards
      • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
      • Slide 12
      • Slide 13
      • Slide 14
      • KCAS Progression Document
      • Grade Level SpanhellipMath Sample
      • Grade Level Shift Document
      • Emphasis on preparing students for college and the careers of the 21st Century
      • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
      • Literacy skills are integrated into science social studies and technical subjects
      • Slide 21
      • Slide 22
      • Slide 23
      • Slide 24
      • Slide 25
      • Slide 26
      • Assessment for Learning
      • Slide 28
      • Slide 29
      • Assessment for Learning Five Keys to Quality Classroom Assessments
      • Slide 31

        Puts the Pieces Together - Nationally

        Creating the National Common Core Standards in Mathematics and EnglishLanguage Arts has been a collaborative effort between state departments of education teachers experts in a wide array of fields and numerous professional organizations based on national work amp research from best work of states and high-performing nations frameworks developed for the National Assessment

        of Educational Progress (NAEP) academic research of Marzano Stiggins Fullan and

        others curriculum surveys amp assessment data on college-

        and career-ready performance Input from educators at all levels and from a variety

        of subjects

        Puts the Pieces Together - KYLeadership Networks Vision

        Every school district in the Commonwealth of Kentucky has a knowledgeable and cohesive leadership team that guides the professional learning and practice of all administrators teachers and staff so that every student experiences highly effective teaching learning and assessment practices in every classroom every day

        Result = Every Student ProficientResult = Every Student Proficient and Prepared for Successand Prepared for Success

        Puts the Pieces Together - KY

        Content Leadership Networksbull Focus on teacher and teacher leaders

        Administrator Leadership Networksbull Building level administrators

        Instructional Supervisor Networks Superintendents Network Higher Education Networks

        Overview of P-20 Leadership Networksbull Research based approach to delivering large scale

        professional development and professional learning communities

        bull Focus on building district and school level capacitybull Investment and commitment to change at the classroom levelbull Focus on highly effective teaching and learning

        Teacher Content Leadership Work

        Deconstructing Standards -StandardBenchmark

        Knowledge

        Reasoning

        Skill

        ProductSTANDARDSTARGETSMETHODSCOMMUNICATION OF RESULTS

        StandardBenchmark _______________________________________________________________________________________________________________________________________________________

        Type Knowledge Reasoning Skill Product

        Learning Targets ndash Teacher Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

        Knowledge Targets Reasoning Targets Skill Targets Product Targets

        ldquoI Canrdquo Learning Targets ndash Student Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

        Knowledge Targets Reasoning Targets Skill Targets Product Targets

        Page 1

        Teacher Content Leadership Work

        Deconstructing Standards -

        Next stepshellip

        StandardBenchmark

        Knowledge

        Reasoning

        Skill

        Product

        Page 2

        AssessmentsHow will I assess to promote the learning and audit the achievement of the targets and standard

        Assessment(s) FORFormative

        OFSummative

        Assessment(s) FORFormative

        OFSummative

        Assessment(s) FORFormative

        OFSummative

        Assessment(s) FORFormative

        OFSummative

        Selected responseExt written responsePersonal Communication

        Selected responseExt written responsePerformancePersonal Communication

        PerformancePersonal Communication

        Performance

        Communication of ResultsHow will I communicate the learning and the achievement

        Assessments FOR Learning Formative Assessments OF Learning Summative resulting in reporting of learninggrowth resulting in grading of achievement

        FORFormative ndash Report

        OFSummative - Grade

        FORFormative ndash Report

        OFSummative - Grade

        FORFormative ndash Report

        OFSummative - Grade

        FORFormative ndash Report

        OFSummative - Grade

        Common Core State Standards

        (CCSS)

        Kentucky Core Academic

        Standards(KCAS)

        Common Core Standards

        Common Core Standards work - Nationalbullhttpwwwcorestandardsorg

        Common Core Standards work at KDE ndash now adopting as KY Core Academic Standards

        bullProgram of Studies being updated to reflect adoption of CCS ndash 571 page document is on web for public review httpwwweducationkygovusersotlPOSPOS20with20CCS20for20public20reviewpdf

        bullhttpwwweducationkygovKDEInstructional+ResourcesCurriculum+Documents+and+ResourcesCCS+Resources

        The Common Core State Standards focus on core conceptual understandings and procedures starting in the early grades thus enabling teachers to take the time needed to teach core concepts and procedures wellmdashand to give students the opportunity to master them

        Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

        Overview The math standards start with a one-page overview highlighting what is most important

        12

        Simple overview provides all key information at a glance

        Click for close uphellip

        Overview The math standards start with a one-page overview highlighting what is most important

        13

        Simple overview provides all key information at a glance

        Click for close uphellip

        Fewer standards to address

        Examples make standards more concrete

        KY 4th Grade Math CCSS 4th Grade Math

        5 big ideas 5 domains

        23 understanding standards

        10 clusters

        78 skill and concept standards

        28 standards

        14

        15 pages 5 pages

        Represent and interpret databull Make a line plot to display a data set of measurements in

        fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

        DomainsOperations and

        Algebraic Thinking

        Number amp Operations in Base Ten

        Number amp Operations Fractions

        Measurement and Data Geometry

        Clusters

        Use the four operations with whole numbers to solve problems

        Gain familiarity with factors and multiples

        Generate and analyze patterns

        Generalize place value understanding for multi-digit whole numbers

        Use place value understanding and properties of operations to perform multi-digit arithmetic

        Extend understanding of fraction equivalence and ordering

        Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

        Understand decimal notation for fractions and compare decimal fractions

        Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

        Represent and interpret data

        Geometric measurement understand concepts of angle and measure angles

        Draw and identify lines and angles and classify shapes by properties of their lines and angles

        Mathematical

        Practices

        1 Make sense of problems and persevere in solving them

        2 Reason abstractly and quantitatively

        1 Construct viable arguments and critique the reasoning of others

        2 Model with mathematics

        1 Use appropriate tools strategically

        2 Attend to precision

        1 Look for and make use of structure

        2 Look for and express regularity in repeated reasoning

        In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

        Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

        2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

        Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

        3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

        Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

        KCAS Progression Document

        Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

        Grade 3 Grade 4 Grade 5

        Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

        total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

        3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

        3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

        3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

        Understand properties of multiplication and the relationship between multiplication and division

        3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

        3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

        Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

        the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

        Solve problems involving the four operations and identify and explain patterns in arithmetic

        3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

        3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

        Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

        35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

        4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

        4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

        Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

        Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

        Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

        Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

        Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

        and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

        and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

        Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

        apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

        Concepts New to Grade Level Grade Concepts Moved From Grade Level

        4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

        visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

        equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

        of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

        problems to find unknown angles on a diagram in real world and mathematical problems

        4G2 Classify two-dimensional figures based presence or absence of attributes

        (parallel or perpendicular lines)

        4th Kindergarten Attributes of basic three-dimensional

        objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

        Identify basic two-dimensional figures in different orientations

        3rd grade Attributes of two dimensional shapes and

        shapes that share attributes can define larger categories

        Represent and interpret data-bar graphs and pictographs (also 2nd grade)

        The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

        5th grade Identify and graph ordered pairs on a

        positive coordinate system (Quadrant 1)

        Grade Level Shift Document

        Emphasis on preparing students for college and the careers of the 21st Century

        18

        Anchor standards serve as the spine for all ELA grade levels

        ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

        ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

        building complexity as the grades increase

        StrandsWithin each set the anchors are divided into strands

        Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

        StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

        Appendices with exemplar texts performance tasks student work

        Literacy skills are integrated into science social studies and technical subjects

        20

        Literacy skills are integrated into science social studies and technical subjects

        21

        Supporting the Common Core

        Implementation

        TheThe HowHow amp amp

        How WellHow Well

        bull Marzano identified nine

        instructional strategies

        that enhance student

        achievement

        bull Barren Co focus for

        past few years

        One mark of an effective

        teacher is the ability to

        use an array of research-

        based instructional

        strategieshellip

        We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

        Professional Development

        is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

        The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

        The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

        Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

        CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

        CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

        CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

        Assessment for Learning

        Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

        The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

        bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

        have grade or a statement of level of mastery

        Assessment for Learning

        With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

        practices can dramatically improve student motivation and learning

        Assessment for learning strategies address the information needs of both teachers and students

        Assessment for LearningFive Keys to Quality Classroom Assessments

        Stiggins et al (2004) p 13

        Letrsquos take a Letrsquos take a closer look closer look

        at the at the Common Common

        Core State Core State StandardsStandards

        • Slide 1
        • Slide 2
        • Slide 3
        • Puts the Pieces Together - Nationally
        • Puts the Pieces Together - KY
        • Slide 6
        • Teacher Content Leadership Work
        • Slide 8
        • Slide 9
        • Common Core Standards
        • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
        • Slide 12
        • Slide 13
        • Slide 14
        • KCAS Progression Document
        • Grade Level SpanhellipMath Sample
        • Grade Level Shift Document
        • Emphasis on preparing students for college and the careers of the 21st Century
        • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
        • Literacy skills are integrated into science social studies and technical subjects
        • Slide 21
        • Slide 22
        • Slide 23
        • Slide 24
        • Slide 25
        • Slide 26
        • Assessment for Learning
        • Slide 28
        • Slide 29
        • Assessment for Learning Five Keys to Quality Classroom Assessments
        • Slide 31

          Puts the Pieces Together - KYLeadership Networks Vision

          Every school district in the Commonwealth of Kentucky has a knowledgeable and cohesive leadership team that guides the professional learning and practice of all administrators teachers and staff so that every student experiences highly effective teaching learning and assessment practices in every classroom every day

          Result = Every Student ProficientResult = Every Student Proficient and Prepared for Successand Prepared for Success

          Puts the Pieces Together - KY

          Content Leadership Networksbull Focus on teacher and teacher leaders

          Administrator Leadership Networksbull Building level administrators

          Instructional Supervisor Networks Superintendents Network Higher Education Networks

          Overview of P-20 Leadership Networksbull Research based approach to delivering large scale

          professional development and professional learning communities

          bull Focus on building district and school level capacitybull Investment and commitment to change at the classroom levelbull Focus on highly effective teaching and learning

          Teacher Content Leadership Work

          Deconstructing Standards -StandardBenchmark

          Knowledge

          Reasoning

          Skill

          ProductSTANDARDSTARGETSMETHODSCOMMUNICATION OF RESULTS

          StandardBenchmark _______________________________________________________________________________________________________________________________________________________

          Type Knowledge Reasoning Skill Product

          Learning Targets ndash Teacher Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

          Knowledge Targets Reasoning Targets Skill Targets Product Targets

          ldquoI Canrdquo Learning Targets ndash Student Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

          Knowledge Targets Reasoning Targets Skill Targets Product Targets

          Page 1

          Teacher Content Leadership Work

          Deconstructing Standards -

          Next stepshellip

          StandardBenchmark

          Knowledge

          Reasoning

          Skill

          Product

          Page 2

          AssessmentsHow will I assess to promote the learning and audit the achievement of the targets and standard

          Assessment(s) FORFormative

          OFSummative

          Assessment(s) FORFormative

          OFSummative

          Assessment(s) FORFormative

          OFSummative

          Assessment(s) FORFormative

          OFSummative

          Selected responseExt written responsePersonal Communication

          Selected responseExt written responsePerformancePersonal Communication

          PerformancePersonal Communication

          Performance

          Communication of ResultsHow will I communicate the learning and the achievement

          Assessments FOR Learning Formative Assessments OF Learning Summative resulting in reporting of learninggrowth resulting in grading of achievement

          FORFormative ndash Report

          OFSummative - Grade

          FORFormative ndash Report

          OFSummative - Grade

          FORFormative ndash Report

          OFSummative - Grade

          FORFormative ndash Report

          OFSummative - Grade

          Common Core State Standards

          (CCSS)

          Kentucky Core Academic

          Standards(KCAS)

          Common Core Standards

          Common Core Standards work - Nationalbullhttpwwwcorestandardsorg

          Common Core Standards work at KDE ndash now adopting as KY Core Academic Standards

          bullProgram of Studies being updated to reflect adoption of CCS ndash 571 page document is on web for public review httpwwweducationkygovusersotlPOSPOS20with20CCS20for20public20reviewpdf

          bullhttpwwweducationkygovKDEInstructional+ResourcesCurriculum+Documents+and+ResourcesCCS+Resources

          The Common Core State Standards focus on core conceptual understandings and procedures starting in the early grades thus enabling teachers to take the time needed to teach core concepts and procedures wellmdashand to give students the opportunity to master them

          Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

          Overview The math standards start with a one-page overview highlighting what is most important

          12

          Simple overview provides all key information at a glance

          Click for close uphellip

          Overview The math standards start with a one-page overview highlighting what is most important

          13

          Simple overview provides all key information at a glance

          Click for close uphellip

          Fewer standards to address

          Examples make standards more concrete

          KY 4th Grade Math CCSS 4th Grade Math

          5 big ideas 5 domains

          23 understanding standards

          10 clusters

          78 skill and concept standards

          28 standards

          14

          15 pages 5 pages

          Represent and interpret databull Make a line plot to display a data set of measurements in

          fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

          DomainsOperations and

          Algebraic Thinking

          Number amp Operations in Base Ten

          Number amp Operations Fractions

          Measurement and Data Geometry

          Clusters

          Use the four operations with whole numbers to solve problems

          Gain familiarity with factors and multiples

          Generate and analyze patterns

          Generalize place value understanding for multi-digit whole numbers

          Use place value understanding and properties of operations to perform multi-digit arithmetic

          Extend understanding of fraction equivalence and ordering

          Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

          Understand decimal notation for fractions and compare decimal fractions

          Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

          Represent and interpret data

          Geometric measurement understand concepts of angle and measure angles

          Draw and identify lines and angles and classify shapes by properties of their lines and angles

          Mathematical

          Practices

          1 Make sense of problems and persevere in solving them

          2 Reason abstractly and quantitatively

          1 Construct viable arguments and critique the reasoning of others

          2 Model with mathematics

          1 Use appropriate tools strategically

          2 Attend to precision

          1 Look for and make use of structure

          2 Look for and express regularity in repeated reasoning

          In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

          Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

          2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

          Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

          3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

          Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

          KCAS Progression Document

          Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

          Grade 3 Grade 4 Grade 5

          Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

          total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

          3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

          3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

          3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

          Understand properties of multiplication and the relationship between multiplication and division

          3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

          3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

          Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

          the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

          Solve problems involving the four operations and identify and explain patterns in arithmetic

          3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

          3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

          Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

          35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

          4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

          4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

          Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

          Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

          Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

          Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

          Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

          and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

          and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

          Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

          apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

          Concepts New to Grade Level Grade Concepts Moved From Grade Level

          4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

          visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

          equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

          of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

          problems to find unknown angles on a diagram in real world and mathematical problems

          4G2 Classify two-dimensional figures based presence or absence of attributes

          (parallel or perpendicular lines)

          4th Kindergarten Attributes of basic three-dimensional

          objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

          Identify basic two-dimensional figures in different orientations

          3rd grade Attributes of two dimensional shapes and

          shapes that share attributes can define larger categories

          Represent and interpret data-bar graphs and pictographs (also 2nd grade)

          The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

          5th grade Identify and graph ordered pairs on a

          positive coordinate system (Quadrant 1)

          Grade Level Shift Document

          Emphasis on preparing students for college and the careers of the 21st Century

          18

          Anchor standards serve as the spine for all ELA grade levels

          ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

          ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

          building complexity as the grades increase

          StrandsWithin each set the anchors are divided into strands

          Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

          StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

          Appendices with exemplar texts performance tasks student work

          Literacy skills are integrated into science social studies and technical subjects

          20

          Literacy skills are integrated into science social studies and technical subjects

          21

          Supporting the Common Core

          Implementation

          TheThe HowHow amp amp

          How WellHow Well

          bull Marzano identified nine

          instructional strategies

          that enhance student

          achievement

          bull Barren Co focus for

          past few years

          One mark of an effective

          teacher is the ability to

          use an array of research-

          based instructional

          strategieshellip

          We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

          Professional Development

          is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

          The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

          The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

          Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

          CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

          CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

          CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

          Assessment for Learning

          Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

          The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

          bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

          have grade or a statement of level of mastery

          Assessment for Learning

          With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

          practices can dramatically improve student motivation and learning

          Assessment for learning strategies address the information needs of both teachers and students

          Assessment for LearningFive Keys to Quality Classroom Assessments

          Stiggins et al (2004) p 13

          Letrsquos take a Letrsquos take a closer look closer look

          at the at the Common Common

          Core State Core State StandardsStandards

          • Slide 1
          • Slide 2
          • Slide 3
          • Puts the Pieces Together - Nationally
          • Puts the Pieces Together - KY
          • Slide 6
          • Teacher Content Leadership Work
          • Slide 8
          • Slide 9
          • Common Core Standards
          • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
          • Slide 12
          • Slide 13
          • Slide 14
          • KCAS Progression Document
          • Grade Level SpanhellipMath Sample
          • Grade Level Shift Document
          • Emphasis on preparing students for college and the careers of the 21st Century
          • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
          • Literacy skills are integrated into science social studies and technical subjects
          • Slide 21
          • Slide 22
          • Slide 23
          • Slide 24
          • Slide 25
          • Slide 26
          • Assessment for Learning
          • Slide 28
          • Slide 29
          • Assessment for Learning Five Keys to Quality Classroom Assessments
          • Slide 31

            Puts the Pieces Together - KY

            Content Leadership Networksbull Focus on teacher and teacher leaders

            Administrator Leadership Networksbull Building level administrators

            Instructional Supervisor Networks Superintendents Network Higher Education Networks

            Overview of P-20 Leadership Networksbull Research based approach to delivering large scale

            professional development and professional learning communities

            bull Focus on building district and school level capacitybull Investment and commitment to change at the classroom levelbull Focus on highly effective teaching and learning

            Teacher Content Leadership Work

            Deconstructing Standards -StandardBenchmark

            Knowledge

            Reasoning

            Skill

            ProductSTANDARDSTARGETSMETHODSCOMMUNICATION OF RESULTS

            StandardBenchmark _______________________________________________________________________________________________________________________________________________________

            Type Knowledge Reasoning Skill Product

            Learning Targets ndash Teacher Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

            Knowledge Targets Reasoning Targets Skill Targets Product Targets

            ldquoI Canrdquo Learning Targets ndash Student Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

            Knowledge Targets Reasoning Targets Skill Targets Product Targets

            Page 1

            Teacher Content Leadership Work

            Deconstructing Standards -

            Next stepshellip

            StandardBenchmark

            Knowledge

            Reasoning

            Skill

            Product

            Page 2

            AssessmentsHow will I assess to promote the learning and audit the achievement of the targets and standard

            Assessment(s) FORFormative

            OFSummative

            Assessment(s) FORFormative

            OFSummative

            Assessment(s) FORFormative

            OFSummative

            Assessment(s) FORFormative

            OFSummative

            Selected responseExt written responsePersonal Communication

            Selected responseExt written responsePerformancePersonal Communication

            PerformancePersonal Communication

            Performance

            Communication of ResultsHow will I communicate the learning and the achievement

            Assessments FOR Learning Formative Assessments OF Learning Summative resulting in reporting of learninggrowth resulting in grading of achievement

            FORFormative ndash Report

            OFSummative - Grade

            FORFormative ndash Report

            OFSummative - Grade

            FORFormative ndash Report

            OFSummative - Grade

            FORFormative ndash Report

            OFSummative - Grade

            Common Core State Standards

            (CCSS)

            Kentucky Core Academic

            Standards(KCAS)

            Common Core Standards

            Common Core Standards work - Nationalbullhttpwwwcorestandardsorg

            Common Core Standards work at KDE ndash now adopting as KY Core Academic Standards

            bullProgram of Studies being updated to reflect adoption of CCS ndash 571 page document is on web for public review httpwwweducationkygovusersotlPOSPOS20with20CCS20for20public20reviewpdf

            bullhttpwwweducationkygovKDEInstructional+ResourcesCurriculum+Documents+and+ResourcesCCS+Resources

            The Common Core State Standards focus on core conceptual understandings and procedures starting in the early grades thus enabling teachers to take the time needed to teach core concepts and procedures wellmdashand to give students the opportunity to master them

            Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

            Overview The math standards start with a one-page overview highlighting what is most important

            12

            Simple overview provides all key information at a glance

            Click for close uphellip

            Overview The math standards start with a one-page overview highlighting what is most important

            13

            Simple overview provides all key information at a glance

            Click for close uphellip

            Fewer standards to address

            Examples make standards more concrete

            KY 4th Grade Math CCSS 4th Grade Math

            5 big ideas 5 domains

            23 understanding standards

            10 clusters

            78 skill and concept standards

            28 standards

            14

            15 pages 5 pages

            Represent and interpret databull Make a line plot to display a data set of measurements in

            fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

            DomainsOperations and

            Algebraic Thinking

            Number amp Operations in Base Ten

            Number amp Operations Fractions

            Measurement and Data Geometry

            Clusters

            Use the four operations with whole numbers to solve problems

            Gain familiarity with factors and multiples

            Generate and analyze patterns

            Generalize place value understanding for multi-digit whole numbers

            Use place value understanding and properties of operations to perform multi-digit arithmetic

            Extend understanding of fraction equivalence and ordering

            Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

            Understand decimal notation for fractions and compare decimal fractions

            Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

            Represent and interpret data

            Geometric measurement understand concepts of angle and measure angles

            Draw and identify lines and angles and classify shapes by properties of their lines and angles

            Mathematical

            Practices

            1 Make sense of problems and persevere in solving them

            2 Reason abstractly and quantitatively

            1 Construct viable arguments and critique the reasoning of others

            2 Model with mathematics

            1 Use appropriate tools strategically

            2 Attend to precision

            1 Look for and make use of structure

            2 Look for and express regularity in repeated reasoning

            In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

            Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

            2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

            Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

            3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

            Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

            KCAS Progression Document

            Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

            Grade 3 Grade 4 Grade 5

            Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

            total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

            3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

            3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

            3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

            Understand properties of multiplication and the relationship between multiplication and division

            3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

            3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

            Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

            the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

            Solve problems involving the four operations and identify and explain patterns in arithmetic

            3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

            3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

            Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

            35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

            4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

            4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

            Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

            Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

            Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

            Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

            Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

            and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

            and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

            Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

            apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

            Concepts New to Grade Level Grade Concepts Moved From Grade Level

            4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

            visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

            equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

            of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

            problems to find unknown angles on a diagram in real world and mathematical problems

            4G2 Classify two-dimensional figures based presence or absence of attributes

            (parallel or perpendicular lines)

            4th Kindergarten Attributes of basic three-dimensional

            objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

            Identify basic two-dimensional figures in different orientations

            3rd grade Attributes of two dimensional shapes and

            shapes that share attributes can define larger categories

            Represent and interpret data-bar graphs and pictographs (also 2nd grade)

            The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

            5th grade Identify and graph ordered pairs on a

            positive coordinate system (Quadrant 1)

            Grade Level Shift Document

            Emphasis on preparing students for college and the careers of the 21st Century

            18

            Anchor standards serve as the spine for all ELA grade levels

            ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

            ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

            building complexity as the grades increase

            StrandsWithin each set the anchors are divided into strands

            Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

            StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

            Appendices with exemplar texts performance tasks student work

            Literacy skills are integrated into science social studies and technical subjects

            20

            Literacy skills are integrated into science social studies and technical subjects

            21

            Supporting the Common Core

            Implementation

            TheThe HowHow amp amp

            How WellHow Well

            bull Marzano identified nine

            instructional strategies

            that enhance student

            achievement

            bull Barren Co focus for

            past few years

            One mark of an effective

            teacher is the ability to

            use an array of research-

            based instructional

            strategieshellip

            We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

            Professional Development

            is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

            The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

            The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

            Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

            CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

            CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

            CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

            Assessment for Learning

            Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

            The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

            bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

            have grade or a statement of level of mastery

            Assessment for Learning

            With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

            practices can dramatically improve student motivation and learning

            Assessment for learning strategies address the information needs of both teachers and students

            Assessment for LearningFive Keys to Quality Classroom Assessments

            Stiggins et al (2004) p 13

            Letrsquos take a Letrsquos take a closer look closer look

            at the at the Common Common

            Core State Core State StandardsStandards

            • Slide 1
            • Slide 2
            • Slide 3
            • Puts the Pieces Together - Nationally
            • Puts the Pieces Together - KY
            • Slide 6
            • Teacher Content Leadership Work
            • Slide 8
            • Slide 9
            • Common Core Standards
            • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
            • Slide 12
            • Slide 13
            • Slide 14
            • KCAS Progression Document
            • Grade Level SpanhellipMath Sample
            • Grade Level Shift Document
            • Emphasis on preparing students for college and the careers of the 21st Century
            • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
            • Literacy skills are integrated into science social studies and technical subjects
            • Slide 21
            • Slide 22
            • Slide 23
            • Slide 24
            • Slide 25
            • Slide 26
            • Assessment for Learning
            • Slide 28
            • Slide 29
            • Assessment for Learning Five Keys to Quality Classroom Assessments
            • Slide 31

              Teacher Content Leadership Work

              Deconstructing Standards -StandardBenchmark

              Knowledge

              Reasoning

              Skill

              ProductSTANDARDSTARGETSMETHODSCOMMUNICATION OF RESULTS

              StandardBenchmark _______________________________________________________________________________________________________________________________________________________

              Type Knowledge Reasoning Skill Product

              Learning Targets ndash Teacher Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

              Knowledge Targets Reasoning Targets Skill Targets Product Targets

              ldquoI Canrdquo Learning Targets ndash Student Friendly LanguageWhat are the knowledge reasoning skill or product targets underpinning the standard or benchmark

              Knowledge Targets Reasoning Targets Skill Targets Product Targets

              Page 1

              Teacher Content Leadership Work

              Deconstructing Standards -

              Next stepshellip

              StandardBenchmark

              Knowledge

              Reasoning

              Skill

              Product

              Page 2

              AssessmentsHow will I assess to promote the learning and audit the achievement of the targets and standard

              Assessment(s) FORFormative

              OFSummative

              Assessment(s) FORFormative

              OFSummative

              Assessment(s) FORFormative

              OFSummative

              Assessment(s) FORFormative

              OFSummative

              Selected responseExt written responsePersonal Communication

              Selected responseExt written responsePerformancePersonal Communication

              PerformancePersonal Communication

              Performance

              Communication of ResultsHow will I communicate the learning and the achievement

              Assessments FOR Learning Formative Assessments OF Learning Summative resulting in reporting of learninggrowth resulting in grading of achievement

              FORFormative ndash Report

              OFSummative - Grade

              FORFormative ndash Report

              OFSummative - Grade

              FORFormative ndash Report

              OFSummative - Grade

              FORFormative ndash Report

              OFSummative - Grade

              Common Core State Standards

              (CCSS)

              Kentucky Core Academic

              Standards(KCAS)

              Common Core Standards

              Common Core Standards work - Nationalbullhttpwwwcorestandardsorg

              Common Core Standards work at KDE ndash now adopting as KY Core Academic Standards

              bullProgram of Studies being updated to reflect adoption of CCS ndash 571 page document is on web for public review httpwwweducationkygovusersotlPOSPOS20with20CCS20for20public20reviewpdf

              bullhttpwwweducationkygovKDEInstructional+ResourcesCurriculum+Documents+and+ResourcesCCS+Resources

              The Common Core State Standards focus on core conceptual understandings and procedures starting in the early grades thus enabling teachers to take the time needed to teach core concepts and procedures wellmdashand to give students the opportunity to master them

              Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

              Overview The math standards start with a one-page overview highlighting what is most important

              12

              Simple overview provides all key information at a glance

              Click for close uphellip

              Overview The math standards start with a one-page overview highlighting what is most important

              13

              Simple overview provides all key information at a glance

              Click for close uphellip

              Fewer standards to address

              Examples make standards more concrete

              KY 4th Grade Math CCSS 4th Grade Math

              5 big ideas 5 domains

              23 understanding standards

              10 clusters

              78 skill and concept standards

              28 standards

              14

              15 pages 5 pages

              Represent and interpret databull Make a line plot to display a data set of measurements in

              fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

              DomainsOperations and

              Algebraic Thinking

              Number amp Operations in Base Ten

              Number amp Operations Fractions

              Measurement and Data Geometry

              Clusters

              Use the four operations with whole numbers to solve problems

              Gain familiarity with factors and multiples

              Generate and analyze patterns

              Generalize place value understanding for multi-digit whole numbers

              Use place value understanding and properties of operations to perform multi-digit arithmetic

              Extend understanding of fraction equivalence and ordering

              Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

              Understand decimal notation for fractions and compare decimal fractions

              Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

              Represent and interpret data

              Geometric measurement understand concepts of angle and measure angles

              Draw and identify lines and angles and classify shapes by properties of their lines and angles

              Mathematical

              Practices

              1 Make sense of problems and persevere in solving them

              2 Reason abstractly and quantitatively

              1 Construct viable arguments and critique the reasoning of others

              2 Model with mathematics

              1 Use appropriate tools strategically

              2 Attend to precision

              1 Look for and make use of structure

              2 Look for and express regularity in repeated reasoning

              In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

              Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

              2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

              Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

              3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

              Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

              KCAS Progression Document

              Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

              Grade 3 Grade 4 Grade 5

              Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

              total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

              3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

              3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

              3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

              Understand properties of multiplication and the relationship between multiplication and division

              3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

              3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

              Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

              the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

              Solve problems involving the four operations and identify and explain patterns in arithmetic

              3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

              3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

              Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

              35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

              4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

              4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

              Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

              Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

              Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

              Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

              Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

              and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

              and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

              Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

              apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

              Concepts New to Grade Level Grade Concepts Moved From Grade Level

              4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

              visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

              equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

              of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

              problems to find unknown angles on a diagram in real world and mathematical problems

              4G2 Classify two-dimensional figures based presence or absence of attributes

              (parallel or perpendicular lines)

              4th Kindergarten Attributes of basic three-dimensional

              objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

              Identify basic two-dimensional figures in different orientations

              3rd grade Attributes of two dimensional shapes and

              shapes that share attributes can define larger categories

              Represent and interpret data-bar graphs and pictographs (also 2nd grade)

              The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

              5th grade Identify and graph ordered pairs on a

              positive coordinate system (Quadrant 1)

              Grade Level Shift Document

              Emphasis on preparing students for college and the careers of the 21st Century

              18

              Anchor standards serve as the spine for all ELA grade levels

              ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

              ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

              building complexity as the grades increase

              StrandsWithin each set the anchors are divided into strands

              Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

              StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

              Appendices with exemplar texts performance tasks student work

              Literacy skills are integrated into science social studies and technical subjects

              20

              Literacy skills are integrated into science social studies and technical subjects

              21

              Supporting the Common Core

              Implementation

              TheThe HowHow amp amp

              How WellHow Well

              bull Marzano identified nine

              instructional strategies

              that enhance student

              achievement

              bull Barren Co focus for

              past few years

              One mark of an effective

              teacher is the ability to

              use an array of research-

              based instructional

              strategieshellip

              We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

              Professional Development

              is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

              The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

              The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

              Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

              CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

              CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

              CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

              Assessment for Learning

              Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

              The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

              bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

              have grade or a statement of level of mastery

              Assessment for Learning

              With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

              practices can dramatically improve student motivation and learning

              Assessment for learning strategies address the information needs of both teachers and students

              Assessment for LearningFive Keys to Quality Classroom Assessments

              Stiggins et al (2004) p 13

              Letrsquos take a Letrsquos take a closer look closer look

              at the at the Common Common

              Core State Core State StandardsStandards

              • Slide 1
              • Slide 2
              • Slide 3
              • Puts the Pieces Together - Nationally
              • Puts the Pieces Together - KY
              • Slide 6
              • Teacher Content Leadership Work
              • Slide 8
              • Slide 9
              • Common Core Standards
              • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
              • Slide 12
              • Slide 13
              • Slide 14
              • KCAS Progression Document
              • Grade Level SpanhellipMath Sample
              • Grade Level Shift Document
              • Emphasis on preparing students for college and the careers of the 21st Century
              • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
              • Literacy skills are integrated into science social studies and technical subjects
              • Slide 21
              • Slide 22
              • Slide 23
              • Slide 24
              • Slide 25
              • Slide 26
              • Assessment for Learning
              • Slide 28
              • Slide 29
              • Assessment for Learning Five Keys to Quality Classroom Assessments
              • Slide 31

                Teacher Content Leadership Work

                Deconstructing Standards -

                Next stepshellip

                StandardBenchmark

                Knowledge

                Reasoning

                Skill

                Product

                Page 2

                AssessmentsHow will I assess to promote the learning and audit the achievement of the targets and standard

                Assessment(s) FORFormative

                OFSummative

                Assessment(s) FORFormative

                OFSummative

                Assessment(s) FORFormative

                OFSummative

                Assessment(s) FORFormative

                OFSummative

                Selected responseExt written responsePersonal Communication

                Selected responseExt written responsePerformancePersonal Communication

                PerformancePersonal Communication

                Performance

                Communication of ResultsHow will I communicate the learning and the achievement

                Assessments FOR Learning Formative Assessments OF Learning Summative resulting in reporting of learninggrowth resulting in grading of achievement

                FORFormative ndash Report

                OFSummative - Grade

                FORFormative ndash Report

                OFSummative - Grade

                FORFormative ndash Report

                OFSummative - Grade

                FORFormative ndash Report

                OFSummative - Grade

                Common Core State Standards

                (CCSS)

                Kentucky Core Academic

                Standards(KCAS)

                Common Core Standards

                Common Core Standards work - Nationalbullhttpwwwcorestandardsorg

                Common Core Standards work at KDE ndash now adopting as KY Core Academic Standards

                bullProgram of Studies being updated to reflect adoption of CCS ndash 571 page document is on web for public review httpwwweducationkygovusersotlPOSPOS20with20CCS20for20public20reviewpdf

                bullhttpwwweducationkygovKDEInstructional+ResourcesCurriculum+Documents+and+ResourcesCCS+Resources

                The Common Core State Standards focus on core conceptual understandings and procedures starting in the early grades thus enabling teachers to take the time needed to teach core concepts and procedures wellmdashand to give students the opportunity to master them

                Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

                Overview The math standards start with a one-page overview highlighting what is most important

                12

                Simple overview provides all key information at a glance

                Click for close uphellip

                Overview The math standards start with a one-page overview highlighting what is most important

                13

                Simple overview provides all key information at a glance

                Click for close uphellip

                Fewer standards to address

                Examples make standards more concrete

                KY 4th Grade Math CCSS 4th Grade Math

                5 big ideas 5 domains

                23 understanding standards

                10 clusters

                78 skill and concept standards

                28 standards

                14

                15 pages 5 pages

                Represent and interpret databull Make a line plot to display a data set of measurements in

                fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

                DomainsOperations and

                Algebraic Thinking

                Number amp Operations in Base Ten

                Number amp Operations Fractions

                Measurement and Data Geometry

                Clusters

                Use the four operations with whole numbers to solve problems

                Gain familiarity with factors and multiples

                Generate and analyze patterns

                Generalize place value understanding for multi-digit whole numbers

                Use place value understanding and properties of operations to perform multi-digit arithmetic

                Extend understanding of fraction equivalence and ordering

                Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

                Understand decimal notation for fractions and compare decimal fractions

                Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

                Represent and interpret data

                Geometric measurement understand concepts of angle and measure angles

                Draw and identify lines and angles and classify shapes by properties of their lines and angles

                Mathematical

                Practices

                1 Make sense of problems and persevere in solving them

                2 Reason abstractly and quantitatively

                1 Construct viable arguments and critique the reasoning of others

                2 Model with mathematics

                1 Use appropriate tools strategically

                2 Attend to precision

                1 Look for and make use of structure

                2 Look for and express regularity in repeated reasoning

                In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

                Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

                2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

                Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

                3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

                Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

                KCAS Progression Document

                Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

                Grade 3 Grade 4 Grade 5

                Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

                total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

                3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

                3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

                3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

                Understand properties of multiplication and the relationship between multiplication and division

                3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

                3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

                Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

                the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

                Solve problems involving the four operations and identify and explain patterns in arithmetic

                3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

                3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

                Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

                35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

                4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

                4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

                Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

                Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

                Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

                Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

                Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

                and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

                and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

                Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

                apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

                Concepts New to Grade Level Grade Concepts Moved From Grade Level

                4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

                visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

                equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

                of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

                problems to find unknown angles on a diagram in real world and mathematical problems

                4G2 Classify two-dimensional figures based presence or absence of attributes

                (parallel or perpendicular lines)

                4th Kindergarten Attributes of basic three-dimensional

                objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

                Identify basic two-dimensional figures in different orientations

                3rd grade Attributes of two dimensional shapes and

                shapes that share attributes can define larger categories

                Represent and interpret data-bar graphs and pictographs (also 2nd grade)

                The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

                5th grade Identify and graph ordered pairs on a

                positive coordinate system (Quadrant 1)

                Grade Level Shift Document

                Emphasis on preparing students for college and the careers of the 21st Century

                18

                Anchor standards serve as the spine for all ELA grade levels

                ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                building complexity as the grades increase

                StrandsWithin each set the anchors are divided into strands

                Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                Appendices with exemplar texts performance tasks student work

                Literacy skills are integrated into science social studies and technical subjects

                20

                Literacy skills are integrated into science social studies and technical subjects

                21

                Supporting the Common Core

                Implementation

                TheThe HowHow amp amp

                How WellHow Well

                bull Marzano identified nine

                instructional strategies

                that enhance student

                achievement

                bull Barren Co focus for

                past few years

                One mark of an effective

                teacher is the ability to

                use an array of research-

                based instructional

                strategieshellip

                We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                Professional Development

                is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                Assessment for Learning

                Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                have grade or a statement of level of mastery

                Assessment for Learning

                With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                practices can dramatically improve student motivation and learning

                Assessment for learning strategies address the information needs of both teachers and students

                Assessment for LearningFive Keys to Quality Classroom Assessments

                Stiggins et al (2004) p 13

                Letrsquos take a Letrsquos take a closer look closer look

                at the at the Common Common

                Core State Core State StandardsStandards

                • Slide 1
                • Slide 2
                • Slide 3
                • Puts the Pieces Together - Nationally
                • Puts the Pieces Together - KY
                • Slide 6
                • Teacher Content Leadership Work
                • Slide 8
                • Slide 9
                • Common Core Standards
                • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                • Slide 12
                • Slide 13
                • Slide 14
                • KCAS Progression Document
                • Grade Level SpanhellipMath Sample
                • Grade Level Shift Document
                • Emphasis on preparing students for college and the careers of the 21st Century
                • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                • Literacy skills are integrated into science social studies and technical subjects
                • Slide 21
                • Slide 22
                • Slide 23
                • Slide 24
                • Slide 25
                • Slide 26
                • Assessment for Learning
                • Slide 28
                • Slide 29
                • Assessment for Learning Five Keys to Quality Classroom Assessments
                • Slide 31

                  Common Core State Standards

                  (CCSS)

                  Kentucky Core Academic

                  Standards(KCAS)

                  Common Core Standards

                  Common Core Standards work - Nationalbullhttpwwwcorestandardsorg

                  Common Core Standards work at KDE ndash now adopting as KY Core Academic Standards

                  bullProgram of Studies being updated to reflect adoption of CCS ndash 571 page document is on web for public review httpwwweducationkygovusersotlPOSPOS20with20CCS20for20public20reviewpdf

                  bullhttpwwweducationkygovKDEInstructional+ResourcesCurriculum+Documents+and+ResourcesCCS+Resources

                  The Common Core State Standards focus on core conceptual understandings and procedures starting in the early grades thus enabling teachers to take the time needed to teach core concepts and procedures wellmdashand to give students the opportunity to master them

                  Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

                  Overview The math standards start with a one-page overview highlighting what is most important

                  12

                  Simple overview provides all key information at a glance

                  Click for close uphellip

                  Overview The math standards start with a one-page overview highlighting what is most important

                  13

                  Simple overview provides all key information at a glance

                  Click for close uphellip

                  Fewer standards to address

                  Examples make standards more concrete

                  KY 4th Grade Math CCSS 4th Grade Math

                  5 big ideas 5 domains

                  23 understanding standards

                  10 clusters

                  78 skill and concept standards

                  28 standards

                  14

                  15 pages 5 pages

                  Represent and interpret databull Make a line plot to display a data set of measurements in

                  fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

                  DomainsOperations and

                  Algebraic Thinking

                  Number amp Operations in Base Ten

                  Number amp Operations Fractions

                  Measurement and Data Geometry

                  Clusters

                  Use the four operations with whole numbers to solve problems

                  Gain familiarity with factors and multiples

                  Generate and analyze patterns

                  Generalize place value understanding for multi-digit whole numbers

                  Use place value understanding and properties of operations to perform multi-digit arithmetic

                  Extend understanding of fraction equivalence and ordering

                  Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

                  Understand decimal notation for fractions and compare decimal fractions

                  Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

                  Represent and interpret data

                  Geometric measurement understand concepts of angle and measure angles

                  Draw and identify lines and angles and classify shapes by properties of their lines and angles

                  Mathematical

                  Practices

                  1 Make sense of problems and persevere in solving them

                  2 Reason abstractly and quantitatively

                  1 Construct viable arguments and critique the reasoning of others

                  2 Model with mathematics

                  1 Use appropriate tools strategically

                  2 Attend to precision

                  1 Look for and make use of structure

                  2 Look for and express regularity in repeated reasoning

                  In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

                  Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

                  2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

                  Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

                  3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

                  Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

                  KCAS Progression Document

                  Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

                  Grade 3 Grade 4 Grade 5

                  Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

                  total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

                  3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

                  3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

                  3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

                  Understand properties of multiplication and the relationship between multiplication and division

                  3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

                  3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

                  Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

                  the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

                  Solve problems involving the four operations and identify and explain patterns in arithmetic

                  3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

                  3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

                  Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

                  35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

                  4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

                  4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

                  Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

                  Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

                  Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

                  Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

                  Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

                  and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

                  and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

                  Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

                  apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

                  Concepts New to Grade Level Grade Concepts Moved From Grade Level

                  4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

                  visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

                  equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

                  of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

                  problems to find unknown angles on a diagram in real world and mathematical problems

                  4G2 Classify two-dimensional figures based presence or absence of attributes

                  (parallel or perpendicular lines)

                  4th Kindergarten Attributes of basic three-dimensional

                  objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

                  Identify basic two-dimensional figures in different orientations

                  3rd grade Attributes of two dimensional shapes and

                  shapes that share attributes can define larger categories

                  Represent and interpret data-bar graphs and pictographs (also 2nd grade)

                  The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

                  5th grade Identify and graph ordered pairs on a

                  positive coordinate system (Quadrant 1)

                  Grade Level Shift Document

                  Emphasis on preparing students for college and the careers of the 21st Century

                  18

                  Anchor standards serve as the spine for all ELA grade levels

                  ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                  ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                  building complexity as the grades increase

                  StrandsWithin each set the anchors are divided into strands

                  Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                  StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                  Appendices with exemplar texts performance tasks student work

                  Literacy skills are integrated into science social studies and technical subjects

                  20

                  Literacy skills are integrated into science social studies and technical subjects

                  21

                  Supporting the Common Core

                  Implementation

                  TheThe HowHow amp amp

                  How WellHow Well

                  bull Marzano identified nine

                  instructional strategies

                  that enhance student

                  achievement

                  bull Barren Co focus for

                  past few years

                  One mark of an effective

                  teacher is the ability to

                  use an array of research-

                  based instructional

                  strategieshellip

                  We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                  Professional Development

                  is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                  The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                  The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                  Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                  CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                  CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                  CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                  Assessment for Learning

                  Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                  The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                  bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                  have grade or a statement of level of mastery

                  Assessment for Learning

                  With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                  practices can dramatically improve student motivation and learning

                  Assessment for learning strategies address the information needs of both teachers and students

                  Assessment for LearningFive Keys to Quality Classroom Assessments

                  Stiggins et al (2004) p 13

                  Letrsquos take a Letrsquos take a closer look closer look

                  at the at the Common Common

                  Core State Core State StandardsStandards

                  • Slide 1
                  • Slide 2
                  • Slide 3
                  • Puts the Pieces Together - Nationally
                  • Puts the Pieces Together - KY
                  • Slide 6
                  • Teacher Content Leadership Work
                  • Slide 8
                  • Slide 9
                  • Common Core Standards
                  • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                  • Slide 12
                  • Slide 13
                  • Slide 14
                  • KCAS Progression Document
                  • Grade Level SpanhellipMath Sample
                  • Grade Level Shift Document
                  • Emphasis on preparing students for college and the careers of the 21st Century
                  • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                  • Literacy skills are integrated into science social studies and technical subjects
                  • Slide 21
                  • Slide 22
                  • Slide 23
                  • Slide 24
                  • Slide 25
                  • Slide 26
                  • Assessment for Learning
                  • Slide 28
                  • Slide 29
                  • Assessment for Learning Five Keys to Quality Classroom Assessments
                  • Slide 31

                    Common Core Standards

                    Common Core Standards work - Nationalbullhttpwwwcorestandardsorg

                    Common Core Standards work at KDE ndash now adopting as KY Core Academic Standards

                    bullProgram of Studies being updated to reflect adoption of CCS ndash 571 page document is on web for public review httpwwweducationkygovusersotlPOSPOS20with20CCS20for20public20reviewpdf

                    bullhttpwwweducationkygovKDEInstructional+ResourcesCurriculum+Documents+and+ResourcesCCS+Resources

                    The Common Core State Standards focus on core conceptual understandings and procedures starting in the early grades thus enabling teachers to take the time needed to teach core concepts and procedures wellmdashand to give students the opportunity to master them

                    Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

                    Overview The math standards start with a one-page overview highlighting what is most important

                    12

                    Simple overview provides all key information at a glance

                    Click for close uphellip

                    Overview The math standards start with a one-page overview highlighting what is most important

                    13

                    Simple overview provides all key information at a glance

                    Click for close uphellip

                    Fewer standards to address

                    Examples make standards more concrete

                    KY 4th Grade Math CCSS 4th Grade Math

                    5 big ideas 5 domains

                    23 understanding standards

                    10 clusters

                    78 skill and concept standards

                    28 standards

                    14

                    15 pages 5 pages

                    Represent and interpret databull Make a line plot to display a data set of measurements in

                    fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

                    DomainsOperations and

                    Algebraic Thinking

                    Number amp Operations in Base Ten

                    Number amp Operations Fractions

                    Measurement and Data Geometry

                    Clusters

                    Use the four operations with whole numbers to solve problems

                    Gain familiarity with factors and multiples

                    Generate and analyze patterns

                    Generalize place value understanding for multi-digit whole numbers

                    Use place value understanding and properties of operations to perform multi-digit arithmetic

                    Extend understanding of fraction equivalence and ordering

                    Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

                    Understand decimal notation for fractions and compare decimal fractions

                    Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

                    Represent and interpret data

                    Geometric measurement understand concepts of angle and measure angles

                    Draw and identify lines and angles and classify shapes by properties of their lines and angles

                    Mathematical

                    Practices

                    1 Make sense of problems and persevere in solving them

                    2 Reason abstractly and quantitatively

                    1 Construct viable arguments and critique the reasoning of others

                    2 Model with mathematics

                    1 Use appropriate tools strategically

                    2 Attend to precision

                    1 Look for and make use of structure

                    2 Look for and express regularity in repeated reasoning

                    In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

                    Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

                    2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

                    Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

                    3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

                    Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

                    KCAS Progression Document

                    Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

                    Grade 3 Grade 4 Grade 5

                    Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

                    total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

                    3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

                    3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

                    3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

                    Understand properties of multiplication and the relationship between multiplication and division

                    3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

                    3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

                    Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

                    the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

                    Solve problems involving the four operations and identify and explain patterns in arithmetic

                    3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

                    3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

                    Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

                    35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

                    4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

                    4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

                    Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

                    Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

                    Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

                    Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

                    Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

                    and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

                    and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

                    Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

                    apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

                    Concepts New to Grade Level Grade Concepts Moved From Grade Level

                    4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

                    visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

                    equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

                    of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

                    problems to find unknown angles on a diagram in real world and mathematical problems

                    4G2 Classify two-dimensional figures based presence or absence of attributes

                    (parallel or perpendicular lines)

                    4th Kindergarten Attributes of basic three-dimensional

                    objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

                    Identify basic two-dimensional figures in different orientations

                    3rd grade Attributes of two dimensional shapes and

                    shapes that share attributes can define larger categories

                    Represent and interpret data-bar graphs and pictographs (also 2nd grade)

                    The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

                    5th grade Identify and graph ordered pairs on a

                    positive coordinate system (Quadrant 1)

                    Grade Level Shift Document

                    Emphasis on preparing students for college and the careers of the 21st Century

                    18

                    Anchor standards serve as the spine for all ELA grade levels

                    ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                    ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                    building complexity as the grades increase

                    StrandsWithin each set the anchors are divided into strands

                    Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                    StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                    Appendices with exemplar texts performance tasks student work

                    Literacy skills are integrated into science social studies and technical subjects

                    20

                    Literacy skills are integrated into science social studies and technical subjects

                    21

                    Supporting the Common Core

                    Implementation

                    TheThe HowHow amp amp

                    How WellHow Well

                    bull Marzano identified nine

                    instructional strategies

                    that enhance student

                    achievement

                    bull Barren Co focus for

                    past few years

                    One mark of an effective

                    teacher is the ability to

                    use an array of research-

                    based instructional

                    strategieshellip

                    We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                    Professional Development

                    is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                    The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                    The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                    Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                    CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                    CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                    CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                    Assessment for Learning

                    Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                    The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                    bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                    have grade or a statement of level of mastery

                    Assessment for Learning

                    With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                    practices can dramatically improve student motivation and learning

                    Assessment for learning strategies address the information needs of both teachers and students

                    Assessment for LearningFive Keys to Quality Classroom Assessments

                    Stiggins et al (2004) p 13

                    Letrsquos take a Letrsquos take a closer look closer look

                    at the at the Common Common

                    Core State Core State StandardsStandards

                    • Slide 1
                    • Slide 2
                    • Slide 3
                    • Puts the Pieces Together - Nationally
                    • Puts the Pieces Together - KY
                    • Slide 6
                    • Teacher Content Leadership Work
                    • Slide 8
                    • Slide 9
                    • Common Core Standards
                    • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                    • Slide 12
                    • Slide 13
                    • Slide 14
                    • KCAS Progression Document
                    • Grade Level SpanhellipMath Sample
                    • Grade Level Shift Document
                    • Emphasis on preparing students for college and the careers of the 21st Century
                    • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                    • Literacy skills are integrated into science social studies and technical subjects
                    • Slide 21
                    • Slide 22
                    • Slide 23
                    • Slide 24
                    • Slide 25
                    • Slide 26
                    • Assessment for Learning
                    • Slide 28
                    • Slide 29
                    • Assessment for Learning Five Keys to Quality Classroom Assessments
                    • Slide 31

                      Mathematics Standardsmdashhow to read the CCSS documents for Mathematics

                      Overview The math standards start with a one-page overview highlighting what is most important

                      12

                      Simple overview provides all key information at a glance

                      Click for close uphellip

                      Overview The math standards start with a one-page overview highlighting what is most important

                      13

                      Simple overview provides all key information at a glance

                      Click for close uphellip

                      Fewer standards to address

                      Examples make standards more concrete

                      KY 4th Grade Math CCSS 4th Grade Math

                      5 big ideas 5 domains

                      23 understanding standards

                      10 clusters

                      78 skill and concept standards

                      28 standards

                      14

                      15 pages 5 pages

                      Represent and interpret databull Make a line plot to display a data set of measurements in

                      fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

                      DomainsOperations and

                      Algebraic Thinking

                      Number amp Operations in Base Ten

                      Number amp Operations Fractions

                      Measurement and Data Geometry

                      Clusters

                      Use the four operations with whole numbers to solve problems

                      Gain familiarity with factors and multiples

                      Generate and analyze patterns

                      Generalize place value understanding for multi-digit whole numbers

                      Use place value understanding and properties of operations to perform multi-digit arithmetic

                      Extend understanding of fraction equivalence and ordering

                      Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

                      Understand decimal notation for fractions and compare decimal fractions

                      Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

                      Represent and interpret data

                      Geometric measurement understand concepts of angle and measure angles

                      Draw and identify lines and angles and classify shapes by properties of their lines and angles

                      Mathematical

                      Practices

                      1 Make sense of problems and persevere in solving them

                      2 Reason abstractly and quantitatively

                      1 Construct viable arguments and critique the reasoning of others

                      2 Model with mathematics

                      1 Use appropriate tools strategically

                      2 Attend to precision

                      1 Look for and make use of structure

                      2 Look for and express regularity in repeated reasoning

                      In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

                      Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

                      2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

                      Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

                      3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

                      Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

                      KCAS Progression Document

                      Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

                      Grade 3 Grade 4 Grade 5

                      Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

                      total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

                      3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

                      3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

                      3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

                      Understand properties of multiplication and the relationship between multiplication and division

                      3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

                      3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

                      Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

                      the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

                      Solve problems involving the four operations and identify and explain patterns in arithmetic

                      3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

                      3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

                      Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

                      35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

                      4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

                      4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

                      Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

                      Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

                      Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

                      Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

                      Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

                      and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

                      and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

                      Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

                      apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

                      Concepts New to Grade Level Grade Concepts Moved From Grade Level

                      4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

                      visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

                      equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

                      of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

                      problems to find unknown angles on a diagram in real world and mathematical problems

                      4G2 Classify two-dimensional figures based presence or absence of attributes

                      (parallel or perpendicular lines)

                      4th Kindergarten Attributes of basic three-dimensional

                      objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

                      Identify basic two-dimensional figures in different orientations

                      3rd grade Attributes of two dimensional shapes and

                      shapes that share attributes can define larger categories

                      Represent and interpret data-bar graphs and pictographs (also 2nd grade)

                      The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

                      5th grade Identify and graph ordered pairs on a

                      positive coordinate system (Quadrant 1)

                      Grade Level Shift Document

                      Emphasis on preparing students for college and the careers of the 21st Century

                      18

                      Anchor standards serve as the spine for all ELA grade levels

                      ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                      ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                      building complexity as the grades increase

                      StrandsWithin each set the anchors are divided into strands

                      Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                      StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                      Appendices with exemplar texts performance tasks student work

                      Literacy skills are integrated into science social studies and technical subjects

                      20

                      Literacy skills are integrated into science social studies and technical subjects

                      21

                      Supporting the Common Core

                      Implementation

                      TheThe HowHow amp amp

                      How WellHow Well

                      bull Marzano identified nine

                      instructional strategies

                      that enhance student

                      achievement

                      bull Barren Co focus for

                      past few years

                      One mark of an effective

                      teacher is the ability to

                      use an array of research-

                      based instructional

                      strategieshellip

                      We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                      Professional Development

                      is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                      The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                      The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                      Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                      CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                      CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                      CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                      Assessment for Learning

                      Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                      The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                      bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                      have grade or a statement of level of mastery

                      Assessment for Learning

                      With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                      practices can dramatically improve student motivation and learning

                      Assessment for learning strategies address the information needs of both teachers and students

                      Assessment for LearningFive Keys to Quality Classroom Assessments

                      Stiggins et al (2004) p 13

                      Letrsquos take a Letrsquos take a closer look closer look

                      at the at the Common Common

                      Core State Core State StandardsStandards

                      • Slide 1
                      • Slide 2
                      • Slide 3
                      • Puts the Pieces Together - Nationally
                      • Puts the Pieces Together - KY
                      • Slide 6
                      • Teacher Content Leadership Work
                      • Slide 8
                      • Slide 9
                      • Common Core Standards
                      • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                      • Slide 12
                      • Slide 13
                      • Slide 14
                      • KCAS Progression Document
                      • Grade Level SpanhellipMath Sample
                      • Grade Level Shift Document
                      • Emphasis on preparing students for college and the careers of the 21st Century
                      • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                      • Literacy skills are integrated into science social studies and technical subjects
                      • Slide 21
                      • Slide 22
                      • Slide 23
                      • Slide 24
                      • Slide 25
                      • Slide 26
                      • Assessment for Learning
                      • Slide 28
                      • Slide 29
                      • Assessment for Learning Five Keys to Quality Classroom Assessments
                      • Slide 31

                        Overview The math standards start with a one-page overview highlighting what is most important

                        12

                        Simple overview provides all key information at a glance

                        Click for close uphellip

                        Overview The math standards start with a one-page overview highlighting what is most important

                        13

                        Simple overview provides all key information at a glance

                        Click for close uphellip

                        Fewer standards to address

                        Examples make standards more concrete

                        KY 4th Grade Math CCSS 4th Grade Math

                        5 big ideas 5 domains

                        23 understanding standards

                        10 clusters

                        78 skill and concept standards

                        28 standards

                        14

                        15 pages 5 pages

                        Represent and interpret databull Make a line plot to display a data set of measurements in

                        fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

                        DomainsOperations and

                        Algebraic Thinking

                        Number amp Operations in Base Ten

                        Number amp Operations Fractions

                        Measurement and Data Geometry

                        Clusters

                        Use the four operations with whole numbers to solve problems

                        Gain familiarity with factors and multiples

                        Generate and analyze patterns

                        Generalize place value understanding for multi-digit whole numbers

                        Use place value understanding and properties of operations to perform multi-digit arithmetic

                        Extend understanding of fraction equivalence and ordering

                        Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

                        Understand decimal notation for fractions and compare decimal fractions

                        Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

                        Represent and interpret data

                        Geometric measurement understand concepts of angle and measure angles

                        Draw and identify lines and angles and classify shapes by properties of their lines and angles

                        Mathematical

                        Practices

                        1 Make sense of problems and persevere in solving them

                        2 Reason abstractly and quantitatively

                        1 Construct viable arguments and critique the reasoning of others

                        2 Model with mathematics

                        1 Use appropriate tools strategically

                        2 Attend to precision

                        1 Look for and make use of structure

                        2 Look for and express regularity in repeated reasoning

                        In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

                        Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

                        2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

                        Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

                        3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

                        Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

                        KCAS Progression Document

                        Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

                        Grade 3 Grade 4 Grade 5

                        Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

                        total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

                        3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

                        3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

                        3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

                        Understand properties of multiplication and the relationship between multiplication and division

                        3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

                        3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

                        Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

                        the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

                        Solve problems involving the four operations and identify and explain patterns in arithmetic

                        3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

                        3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

                        Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

                        35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

                        4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

                        4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

                        Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

                        Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

                        Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

                        Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

                        Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

                        and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

                        and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

                        Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

                        apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

                        Concepts New to Grade Level Grade Concepts Moved From Grade Level

                        4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

                        visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

                        equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

                        of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

                        problems to find unknown angles on a diagram in real world and mathematical problems

                        4G2 Classify two-dimensional figures based presence or absence of attributes

                        (parallel or perpendicular lines)

                        4th Kindergarten Attributes of basic three-dimensional

                        objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

                        Identify basic two-dimensional figures in different orientations

                        3rd grade Attributes of two dimensional shapes and

                        shapes that share attributes can define larger categories

                        Represent and interpret data-bar graphs and pictographs (also 2nd grade)

                        The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

                        5th grade Identify and graph ordered pairs on a

                        positive coordinate system (Quadrant 1)

                        Grade Level Shift Document

                        Emphasis on preparing students for college and the careers of the 21st Century

                        18

                        Anchor standards serve as the spine for all ELA grade levels

                        ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                        ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                        building complexity as the grades increase

                        StrandsWithin each set the anchors are divided into strands

                        Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                        StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                        Appendices with exemplar texts performance tasks student work

                        Literacy skills are integrated into science social studies and technical subjects

                        20

                        Literacy skills are integrated into science social studies and technical subjects

                        21

                        Supporting the Common Core

                        Implementation

                        TheThe HowHow amp amp

                        How WellHow Well

                        bull Marzano identified nine

                        instructional strategies

                        that enhance student

                        achievement

                        bull Barren Co focus for

                        past few years

                        One mark of an effective

                        teacher is the ability to

                        use an array of research-

                        based instructional

                        strategieshellip

                        We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                        Professional Development

                        is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                        The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                        The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                        Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                        CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                        CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                        CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                        Assessment for Learning

                        Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                        The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                        bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                        have grade or a statement of level of mastery

                        Assessment for Learning

                        With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                        practices can dramatically improve student motivation and learning

                        Assessment for learning strategies address the information needs of both teachers and students

                        Assessment for LearningFive Keys to Quality Classroom Assessments

                        Stiggins et al (2004) p 13

                        Letrsquos take a Letrsquos take a closer look closer look

                        at the at the Common Common

                        Core State Core State StandardsStandards

                        • Slide 1
                        • Slide 2
                        • Slide 3
                        • Puts the Pieces Together - Nationally
                        • Puts the Pieces Together - KY
                        • Slide 6
                        • Teacher Content Leadership Work
                        • Slide 8
                        • Slide 9
                        • Common Core Standards
                        • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                        • Slide 12
                        • Slide 13
                        • Slide 14
                        • KCAS Progression Document
                        • Grade Level SpanhellipMath Sample
                        • Grade Level Shift Document
                        • Emphasis on preparing students for college and the careers of the 21st Century
                        • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                        • Literacy skills are integrated into science social studies and technical subjects
                        • Slide 21
                        • Slide 22
                        • Slide 23
                        • Slide 24
                        • Slide 25
                        • Slide 26
                        • Assessment for Learning
                        • Slide 28
                        • Slide 29
                        • Assessment for Learning Five Keys to Quality Classroom Assessments
                        • Slide 31

                          Overview The math standards start with a one-page overview highlighting what is most important

                          13

                          Simple overview provides all key information at a glance

                          Click for close uphellip

                          Fewer standards to address

                          Examples make standards more concrete

                          KY 4th Grade Math CCSS 4th Grade Math

                          5 big ideas 5 domains

                          23 understanding standards

                          10 clusters

                          78 skill and concept standards

                          28 standards

                          14

                          15 pages 5 pages

                          Represent and interpret databull Make a line plot to display a data set of measurements in

                          fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

                          DomainsOperations and

                          Algebraic Thinking

                          Number amp Operations in Base Ten

                          Number amp Operations Fractions

                          Measurement and Data Geometry

                          Clusters

                          Use the four operations with whole numbers to solve problems

                          Gain familiarity with factors and multiples

                          Generate and analyze patterns

                          Generalize place value understanding for multi-digit whole numbers

                          Use place value understanding and properties of operations to perform multi-digit arithmetic

                          Extend understanding of fraction equivalence and ordering

                          Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

                          Understand decimal notation for fractions and compare decimal fractions

                          Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

                          Represent and interpret data

                          Geometric measurement understand concepts of angle and measure angles

                          Draw and identify lines and angles and classify shapes by properties of their lines and angles

                          Mathematical

                          Practices

                          1 Make sense of problems and persevere in solving them

                          2 Reason abstractly and quantitatively

                          1 Construct viable arguments and critique the reasoning of others

                          2 Model with mathematics

                          1 Use appropriate tools strategically

                          2 Attend to precision

                          1 Look for and make use of structure

                          2 Look for and express regularity in repeated reasoning

                          In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

                          Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

                          2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

                          Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

                          3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

                          Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

                          KCAS Progression Document

                          Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

                          Grade 3 Grade 4 Grade 5

                          Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

                          total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

                          3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

                          3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

                          3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

                          Understand properties of multiplication and the relationship between multiplication and division

                          3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

                          3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

                          Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

                          the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

                          Solve problems involving the four operations and identify and explain patterns in arithmetic

                          3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

                          3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

                          Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

                          35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

                          4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

                          4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

                          Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

                          Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

                          Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

                          Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

                          Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

                          and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

                          and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

                          Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

                          apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

                          Concepts New to Grade Level Grade Concepts Moved From Grade Level

                          4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

                          visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

                          equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

                          of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

                          problems to find unknown angles on a diagram in real world and mathematical problems

                          4G2 Classify two-dimensional figures based presence or absence of attributes

                          (parallel or perpendicular lines)

                          4th Kindergarten Attributes of basic three-dimensional

                          objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

                          Identify basic two-dimensional figures in different orientations

                          3rd grade Attributes of two dimensional shapes and

                          shapes that share attributes can define larger categories

                          Represent and interpret data-bar graphs and pictographs (also 2nd grade)

                          The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

                          5th grade Identify and graph ordered pairs on a

                          positive coordinate system (Quadrant 1)

                          Grade Level Shift Document

                          Emphasis on preparing students for college and the careers of the 21st Century

                          18

                          Anchor standards serve as the spine for all ELA grade levels

                          ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                          ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                          building complexity as the grades increase

                          StrandsWithin each set the anchors are divided into strands

                          Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                          StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                          Appendices with exemplar texts performance tasks student work

                          Literacy skills are integrated into science social studies and technical subjects

                          20

                          Literacy skills are integrated into science social studies and technical subjects

                          21

                          Supporting the Common Core

                          Implementation

                          TheThe HowHow amp amp

                          How WellHow Well

                          bull Marzano identified nine

                          instructional strategies

                          that enhance student

                          achievement

                          bull Barren Co focus for

                          past few years

                          One mark of an effective

                          teacher is the ability to

                          use an array of research-

                          based instructional

                          strategieshellip

                          We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                          Professional Development

                          is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                          The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                          The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                          Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                          CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                          CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                          CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                          Assessment for Learning

                          Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                          The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                          bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                          have grade or a statement of level of mastery

                          Assessment for Learning

                          With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                          practices can dramatically improve student motivation and learning

                          Assessment for learning strategies address the information needs of both teachers and students

                          Assessment for LearningFive Keys to Quality Classroom Assessments

                          Stiggins et al (2004) p 13

                          Letrsquos take a Letrsquos take a closer look closer look

                          at the at the Common Common

                          Core State Core State StandardsStandards

                          • Slide 1
                          • Slide 2
                          • Slide 3
                          • Puts the Pieces Together - Nationally
                          • Puts the Pieces Together - KY
                          • Slide 6
                          • Teacher Content Leadership Work
                          • Slide 8
                          • Slide 9
                          • Common Core Standards
                          • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                          • Slide 12
                          • Slide 13
                          • Slide 14
                          • KCAS Progression Document
                          • Grade Level SpanhellipMath Sample
                          • Grade Level Shift Document
                          • Emphasis on preparing students for college and the careers of the 21st Century
                          • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                          • Literacy skills are integrated into science social studies and technical subjects
                          • Slide 21
                          • Slide 22
                          • Slide 23
                          • Slide 24
                          • Slide 25
                          • Slide 26
                          • Assessment for Learning
                          • Slide 28
                          • Slide 29
                          • Assessment for Learning Five Keys to Quality Classroom Assessments
                          • Slide 31

                            Fewer standards to address

                            Examples make standards more concrete

                            KY 4th Grade Math CCSS 4th Grade Math

                            5 big ideas 5 domains

                            23 understanding standards

                            10 clusters

                            78 skill and concept standards

                            28 standards

                            14

                            15 pages 5 pages

                            Represent and interpret databull Make a line plot to display a data set of measurements in

                            fractions of a unit (12 14 18) Solve problems involving addition and subtraction of fractions by using information presented in line plots For example from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection

                            DomainsOperations and

                            Algebraic Thinking

                            Number amp Operations in Base Ten

                            Number amp Operations Fractions

                            Measurement and Data Geometry

                            Clusters

                            Use the four operations with whole numbers to solve problems

                            Gain familiarity with factors and multiples

                            Generate and analyze patterns

                            Generalize place value understanding for multi-digit whole numbers

                            Use place value understanding and properties of operations to perform multi-digit arithmetic

                            Extend understanding of fraction equivalence and ordering

                            Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

                            Understand decimal notation for fractions and compare decimal fractions

                            Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

                            Represent and interpret data

                            Geometric measurement understand concepts of angle and measure angles

                            Draw and identify lines and angles and classify shapes by properties of their lines and angles

                            Mathematical

                            Practices

                            1 Make sense of problems and persevere in solving them

                            2 Reason abstractly and quantitatively

                            1 Construct viable arguments and critique the reasoning of others

                            2 Model with mathematics

                            1 Use appropriate tools strategically

                            2 Attend to precision

                            1 Look for and make use of structure

                            2 Look for and express regularity in repeated reasoning

                            In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

                            Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

                            2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

                            Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

                            3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

                            Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

                            KCAS Progression Document

                            Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

                            Grade 3 Grade 4 Grade 5

                            Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

                            total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

                            3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

                            3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

                            3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

                            Understand properties of multiplication and the relationship between multiplication and division

                            3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

                            3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

                            Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

                            the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

                            Solve problems involving the four operations and identify and explain patterns in arithmetic

                            3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

                            3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

                            Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

                            35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

                            4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

                            4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

                            Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

                            Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

                            Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

                            Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

                            Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

                            and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

                            and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

                            Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

                            apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

                            Concepts New to Grade Level Grade Concepts Moved From Grade Level

                            4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

                            visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

                            equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

                            of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

                            problems to find unknown angles on a diagram in real world and mathematical problems

                            4G2 Classify two-dimensional figures based presence or absence of attributes

                            (parallel or perpendicular lines)

                            4th Kindergarten Attributes of basic three-dimensional

                            objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

                            Identify basic two-dimensional figures in different orientations

                            3rd grade Attributes of two dimensional shapes and

                            shapes that share attributes can define larger categories

                            Represent and interpret data-bar graphs and pictographs (also 2nd grade)

                            The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

                            5th grade Identify and graph ordered pairs on a

                            positive coordinate system (Quadrant 1)

                            Grade Level Shift Document

                            Emphasis on preparing students for college and the careers of the 21st Century

                            18

                            Anchor standards serve as the spine for all ELA grade levels

                            ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                            ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                            building complexity as the grades increase

                            StrandsWithin each set the anchors are divided into strands

                            Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                            StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                            Appendices with exemplar texts performance tasks student work

                            Literacy skills are integrated into science social studies and technical subjects

                            20

                            Literacy skills are integrated into science social studies and technical subjects

                            21

                            Supporting the Common Core

                            Implementation

                            TheThe HowHow amp amp

                            How WellHow Well

                            bull Marzano identified nine

                            instructional strategies

                            that enhance student

                            achievement

                            bull Barren Co focus for

                            past few years

                            One mark of an effective

                            teacher is the ability to

                            use an array of research-

                            based instructional

                            strategieshellip

                            We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                            Professional Development

                            is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                            The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                            The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                            Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                            CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                            CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                            CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                            Assessment for Learning

                            Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                            The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                            bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                            have grade or a statement of level of mastery

                            Assessment for Learning

                            With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                            practices can dramatically improve student motivation and learning

                            Assessment for learning strategies address the information needs of both teachers and students

                            Assessment for LearningFive Keys to Quality Classroom Assessments

                            Stiggins et al (2004) p 13

                            Letrsquos take a Letrsquos take a closer look closer look

                            at the at the Common Common

                            Core State Core State StandardsStandards

                            • Slide 1
                            • Slide 2
                            • Slide 3
                            • Puts the Pieces Together - Nationally
                            • Puts the Pieces Together - KY
                            • Slide 6
                            • Teacher Content Leadership Work
                            • Slide 8
                            • Slide 9
                            • Common Core Standards
                            • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                            • Slide 12
                            • Slide 13
                            • Slide 14
                            • KCAS Progression Document
                            • Grade Level SpanhellipMath Sample
                            • Grade Level Shift Document
                            • Emphasis on preparing students for college and the careers of the 21st Century
                            • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                            • Literacy skills are integrated into science social studies and technical subjects
                            • Slide 21
                            • Slide 22
                            • Slide 23
                            • Slide 24
                            • Slide 25
                            • Slide 26
                            • Assessment for Learning
                            • Slide 28
                            • Slide 29
                            • Assessment for Learning Five Keys to Quality Classroom Assessments
                            • Slide 31

                              DomainsOperations and

                              Algebraic Thinking

                              Number amp Operations in Base Ten

                              Number amp Operations Fractions

                              Measurement and Data Geometry

                              Clusters

                              Use the four operations with whole numbers to solve problems

                              Gain familiarity with factors and multiples

                              Generate and analyze patterns

                              Generalize place value understanding for multi-digit whole numbers

                              Use place value understanding and properties of operations to perform multi-digit arithmetic

                              Extend understanding of fraction equivalence and ordering

                              Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

                              Understand decimal notation for fractions and compare decimal fractions

                              Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

                              Represent and interpret data

                              Geometric measurement understand concepts of angle and measure angles

                              Draw and identify lines and angles and classify shapes by properties of their lines and angles

                              Mathematical

                              Practices

                              1 Make sense of problems and persevere in solving them

                              2 Reason abstractly and quantitatively

                              1 Construct viable arguments and critique the reasoning of others

                              2 Model with mathematics

                              1 Use appropriate tools strategically

                              2 Attend to precision

                              1 Look for and make use of structure

                              2 Look for and express regularity in repeated reasoning

                              In Grade 4 instructional time should focus on three critical areas 1Developing understanding and fluency with multi-digit multiplication and developing understanding of dividing to find quotients involving multi-digit dividends

                              Students generalize their understanding of place value to 1000000 understanding the relative sizes of numbers in each place They apply their understanding of models for multiplication (equal-sized groups arrays area models) place value and properties of operations in particular the distributive property as they develop discuss and use efficient accurate and generalizable methods to compute products of multi-digit whole numbers Depending on the numbers and the context they select and accurately apply appropriate methods to estimate or mentally calculate products They develop fluency with efficient procedures for multiplying whole numbers understand and explain why the procedures work based on place value and properties of operations and use them to solve problems Students apply their understanding of models for division place value properties of operations and the relationship of division to multiplication as they develop discuss and use efficient accurate and generalizable procedures to find quotients involving multi-digit dividends They select and accurately apply appropriate methods to estimate and mentally calculate quotients and interpret remainders based upon the context

                              2Developing an understanding of fraction equivalence addition and subtraction of fractions with like denominators multiplication of fractions by whole numbers

                              Students develop understanding of fraction equivalence and operations with fractions They recognize that two different fractions can be equal (eg 159 = 53) and they develop methods for generating and recognizing equivalent fractions Students extend previous understandings about how fractions are built from unit fractions composing fractions from unit fractions decomposing fractions into unit fractions and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number

                              3Understanding that geometric figures can be analyzed and classified based on their properties such as having parallel sides perpendicular sides particular angle measures and symmetry

                              Students describe analyze compare and classify two-dimensional shapes Through building drawing and analyzing two-dimensional shapes students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry

                              KCAS Progression Document

                              Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

                              Grade 3 Grade 4 Grade 5

                              Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

                              total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

                              3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

                              3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

                              3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

                              Understand properties of multiplication and the relationship between multiplication and division

                              3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

                              3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

                              Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

                              the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

                              Solve problems involving the four operations and identify and explain patterns in arithmetic

                              3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

                              3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

                              Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

                              35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

                              4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

                              4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

                              Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

                              Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

                              Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

                              Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

                              Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

                              and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

                              and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

                              Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

                              apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

                              Concepts New to Grade Level Grade Concepts Moved From Grade Level

                              4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

                              visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

                              equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

                              of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

                              problems to find unknown angles on a diagram in real world and mathematical problems

                              4G2 Classify two-dimensional figures based presence or absence of attributes

                              (parallel or perpendicular lines)

                              4th Kindergarten Attributes of basic three-dimensional

                              objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

                              Identify basic two-dimensional figures in different orientations

                              3rd grade Attributes of two dimensional shapes and

                              shapes that share attributes can define larger categories

                              Represent and interpret data-bar graphs and pictographs (also 2nd grade)

                              The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

                              5th grade Identify and graph ordered pairs on a

                              positive coordinate system (Quadrant 1)

                              Grade Level Shift Document

                              Emphasis on preparing students for college and the careers of the 21st Century

                              18

                              Anchor standards serve as the spine for all ELA grade levels

                              ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                              ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                              building complexity as the grades increase

                              StrandsWithin each set the anchors are divided into strands

                              Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                              StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                              Appendices with exemplar texts performance tasks student work

                              Literacy skills are integrated into science social studies and technical subjects

                              20

                              Literacy skills are integrated into science social studies and technical subjects

                              21

                              Supporting the Common Core

                              Implementation

                              TheThe HowHow amp amp

                              How WellHow Well

                              bull Marzano identified nine

                              instructional strategies

                              that enhance student

                              achievement

                              bull Barren Co focus for

                              past few years

                              One mark of an effective

                              teacher is the ability to

                              use an array of research-

                              based instructional

                              strategieshellip

                              We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                              Professional Development

                              is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                              The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                              The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                              Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                              CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                              CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                              CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                              Assessment for Learning

                              Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                              The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                              bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                              have grade or a statement of level of mastery

                              Assessment for Learning

                              With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                              practices can dramatically improve student motivation and learning

                              Assessment for learning strategies address the information needs of both teachers and students

                              Assessment for LearningFive Keys to Quality Classroom Assessments

                              Stiggins et al (2004) p 13

                              Letrsquos take a Letrsquos take a closer look closer look

                              at the at the Common Common

                              Core State Core State StandardsStandards

                              • Slide 1
                              • Slide 2
                              • Slide 3
                              • Puts the Pieces Together - Nationally
                              • Puts the Pieces Together - KY
                              • Slide 6
                              • Teacher Content Leadership Work
                              • Slide 8
                              • Slide 9
                              • Common Core Standards
                              • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                              • Slide 12
                              • Slide 13
                              • Slide 14
                              • KCAS Progression Document
                              • Grade Level SpanhellipMath Sample
                              • Grade Level Shift Document
                              • Emphasis on preparing students for college and the careers of the 21st Century
                              • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                              • Literacy skills are integrated into science social studies and technical subjects
                              • Slide 21
                              • Slide 22
                              • Slide 23
                              • Slide 24
                              • Slide 25
                              • Slide 26
                              • Assessment for Learning
                              • Slide 28
                              • Slide 29
                              • Assessment for Learning Five Keys to Quality Classroom Assessments
                              • Slide 31

                                Grade Level SpanhellipMath SampleOperations and Algebraic Thinking

                                Grade 3 Grade 4 Grade 5

                                Represent and solve problems involving multiplication and division3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the

                                total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

                                3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

                                3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem (Note See Glossary Table 2)

                                3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8 times = 48 5 = 1048781 divide 3 6 times 6 =

                                Understand properties of multiplication and the relationship between multiplication and division

                                3OA5 Apply properties of operations as strategies to multiply and divide (Note Students need not use formal terms for these properties) Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

                                3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8

                                Multiply and divide within 1003OA7 Fluently multiply and divide within 100 using strategies such as

                                the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

                                Solve problems involving the four operations and identify and explain patterns in arithmetic

                                3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding (Note This standard is limited to problems posed with whole numbers and having whole-number answers students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order -- Order of Operations)

                                3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

                                Use the four operations with whole numbers to solve problems4OA1 Interpret a multiplication equation as a comparison eg interpret

                                35 = 5 times 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5 Represent verbal statements of multiplicative comparisons as multiplication equations

                                4OA2 Multiply or divide to solve word problems involving multiplicative comparison eg by using drawings and equations with a symbol for the unknown number to represent the problem distinguishing multiplicative comparison from additive comparison (Note See Glossary Table 2)

                                4OA3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations including problems in which remainders must be interpreted Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding

                                Gain familiarity with factors and multiples4OA4 Find all factor pairs for a whole number in the range 1ndash100

                                Recognize that a whole number is a multiple of each of its factors Determine whether a given whole number in the range 1ndash100 is a multiple of a given one-digit number Determine whether a given whole number in the range 1ndash100 is prime or composite

                                Generate and analyze patterns4OA5 Generate a number or shape pattern that follows a given rule

                                Identify apparent features of the pattern that were not explicit in the rule itself For example given the rule ldquoAdd 3rdquo and the starting number 1 generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers Explain informally why the numbers will continue to alternate in this way

                                Write and interpret numerical expressions5OA1 Use parentheses brackets or braces in numerical expressions

                                and evaluate expressions with these symbols5OA2 Write simple expressions that record calculations with numbers

                                and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 + 7) Recognize that 3 times (18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product

                                Analyze patterns and relationships5OA3 Generate two numerical patterns using two given rules Identify

                                apparent relationships between corresponding terms Form ordered pairs consisting of corresponding terms from the two patterns and graph the ordered pairs on a coordinate plane For example given the rule ldquoAdd 3rdquo and the starting number 0 and given the rule ldquoAdd 6rdquo and the starting number 0 generate terms in the resulting sequences and observe that the terms in one sequence are twice the corresponding terms in the other sequence Explain informally why this is so

                                Concepts New to Grade Level Grade Concepts Moved From Grade Level

                                4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

                                visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

                                equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

                                of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

                                problems to find unknown angles on a diagram in real world and mathematical problems

                                4G2 Classify two-dimensional figures based presence or absence of attributes

                                (parallel or perpendicular lines)

                                4th Kindergarten Attributes of basic three-dimensional

                                objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

                                Identify basic two-dimensional figures in different orientations

                                3rd grade Attributes of two dimensional shapes and

                                shapes that share attributes can define larger categories

                                Represent and interpret data-bar graphs and pictographs (also 2nd grade)

                                The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

                                5th grade Identify and graph ordered pairs on a

                                positive coordinate system (Quadrant 1)

                                Grade Level Shift Document

                                Emphasis on preparing students for college and the careers of the 21st Century

                                18

                                Anchor standards serve as the spine for all ELA grade levels

                                ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                                ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                                building complexity as the grades increase

                                StrandsWithin each set the anchors are divided into strands

                                Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                                StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                                Appendices with exemplar texts performance tasks student work

                                Literacy skills are integrated into science social studies and technical subjects

                                20

                                Literacy skills are integrated into science social studies and technical subjects

                                21

                                Supporting the Common Core

                                Implementation

                                TheThe HowHow amp amp

                                How WellHow Well

                                bull Marzano identified nine

                                instructional strategies

                                that enhance student

                                achievement

                                bull Barren Co focus for

                                past few years

                                One mark of an effective

                                teacher is the ability to

                                use an array of research-

                                based instructional

                                strategieshellip

                                We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                                Professional Development

                                is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                                The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                                The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                                Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                                CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                Assessment for Learning

                                Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                have grade or a statement of level of mastery

                                Assessment for Learning

                                With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                practices can dramatically improve student motivation and learning

                                Assessment for learning strategies address the information needs of both teachers and students

                                Assessment for LearningFive Keys to Quality Classroom Assessments

                                Stiggins et al (2004) p 13

                                Letrsquos take a Letrsquos take a closer look closer look

                                at the at the Common Common

                                Core State Core State StandardsStandards

                                • Slide 1
                                • Slide 2
                                • Slide 3
                                • Puts the Pieces Together - Nationally
                                • Puts the Pieces Together - KY
                                • Slide 6
                                • Teacher Content Leadership Work
                                • Slide 8
                                • Slide 9
                                • Common Core Standards
                                • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                • Slide 12
                                • Slide 13
                                • Slide 14
                                • KCAS Progression Document
                                • Grade Level SpanhellipMath Sample
                                • Grade Level Shift Document
                                • Emphasis on preparing students for college and the careers of the 21st Century
                                • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                • Literacy skills are integrated into science social studies and technical subjects
                                • Slide 21
                                • Slide 22
                                • Slide 23
                                • Slide 24
                                • Slide 25
                                • Slide 26
                                • Assessment for Learning
                                • Slide 28
                                • Slide 29
                                • Assessment for Learning Five Keys to Quality Classroom Assessments
                                • Slide 31

                                  Concepts New to Grade Level Grade Concepts Moved From Grade Level

                                  4OA4 Determine prime and composite numbers (1-100)4NF3b Decompose fractions in more than one way justify decompositions using

                                  visual models multiple representations of fractions 4NF3c Properties of operations with mixed numbers with like denominators 4NF4c Multiply fractions by a whole number using visual fraction models and

                                  equations to represent the problem4NF7 Use decimal notation for fractions with denominators 10 or 1004MD3 Apply the area and perimeter formulas for rectangle4MD4 Make a line plot to display a data set of measurements in unit fractions 4MD6 Measure angles in whole number degrees using a protractor Draw angles

                                  of specified measure 4MD7 Use angle measures to decompose angles Solve addition and subtraction

                                  problems to find unknown angles on a diagram in real world and mathematical problems

                                  4G2 Classify two-dimensional figures based presence or absence of attributes

                                  (parallel or perpendicular lines)

                                  4th Kindergarten Attributes of basic three-dimensional

                                  objects (spheres cones cylinders pyramids cubes triangular and rectangular prisms) apply these attributes to solve real-world problems

                                  Identify basic two-dimensional figures in different orientations

                                  3rd grade Attributes of two dimensional shapes and

                                  shapes that share attributes can define larger categories

                                  Represent and interpret data-bar graphs and pictographs (also 2nd grade)

                                  The actual process of learning to read a thermometer does not have a standard It is considered a life skill and is also introduced in science

                                  5th grade Identify and graph ordered pairs on a

                                  positive coordinate system (Quadrant 1)

                                  Grade Level Shift Document

                                  Emphasis on preparing students for college and the careers of the 21st Century

                                  18

                                  Anchor standards serve as the spine for all ELA grade levels

                                  ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                                  ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                                  building complexity as the grades increase

                                  StrandsWithin each set the anchors are divided into strands

                                  Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                                  StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                                  Appendices with exemplar texts performance tasks student work

                                  Literacy skills are integrated into science social studies and technical subjects

                                  20

                                  Literacy skills are integrated into science social studies and technical subjects

                                  21

                                  Supporting the Common Core

                                  Implementation

                                  TheThe HowHow amp amp

                                  How WellHow Well

                                  bull Marzano identified nine

                                  instructional strategies

                                  that enhance student

                                  achievement

                                  bull Barren Co focus for

                                  past few years

                                  One mark of an effective

                                  teacher is the ability to

                                  use an array of research-

                                  based instructional

                                  strategieshellip

                                  We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                                  Professional Development

                                  is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                                  The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                                  The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                                  Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                                  CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                  CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                  CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                  Assessment for Learning

                                  Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                  The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                  bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                  have grade or a statement of level of mastery

                                  Assessment for Learning

                                  With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                  practices can dramatically improve student motivation and learning

                                  Assessment for learning strategies address the information needs of both teachers and students

                                  Assessment for LearningFive Keys to Quality Classroom Assessments

                                  Stiggins et al (2004) p 13

                                  Letrsquos take a Letrsquos take a closer look closer look

                                  at the at the Common Common

                                  Core State Core State StandardsStandards

                                  • Slide 1
                                  • Slide 2
                                  • Slide 3
                                  • Puts the Pieces Together - Nationally
                                  • Puts the Pieces Together - KY
                                  • Slide 6
                                  • Teacher Content Leadership Work
                                  • Slide 8
                                  • Slide 9
                                  • Common Core Standards
                                  • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                  • Slide 12
                                  • Slide 13
                                  • Slide 14
                                  • KCAS Progression Document
                                  • Grade Level SpanhellipMath Sample
                                  • Grade Level Shift Document
                                  • Emphasis on preparing students for college and the careers of the 21st Century
                                  • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                  • Literacy skills are integrated into science social studies and technical subjects
                                  • Slide 21
                                  • Slide 22
                                  • Slide 23
                                  • Slide 24
                                  • Slide 25
                                  • Slide 26
                                  • Assessment for Learning
                                  • Slide 28
                                  • Slide 29
                                  • Assessment for Learning Five Keys to Quality Classroom Assessments
                                  • Slide 31

                                    Emphasis on preparing students for college and the careers of the 21st Century

                                    18

                                    Anchor standards serve as the spine for all ELA grade levels

                                    ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                                    ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                                    building complexity as the grades increase

                                    StrandsWithin each set the anchors are divided into strands

                                    Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                                    StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                                    Appendices with exemplar texts performance tasks student work

                                    Literacy skills are integrated into science social studies and technical subjects

                                    20

                                    Literacy skills are integrated into science social studies and technical subjects

                                    21

                                    Supporting the Common Core

                                    Implementation

                                    TheThe HowHow amp amp

                                    How WellHow Well

                                    bull Marzano identified nine

                                    instructional strategies

                                    that enhance student

                                    achievement

                                    bull Barren Co focus for

                                    past few years

                                    One mark of an effective

                                    teacher is the ability to

                                    use an array of research-

                                    based instructional

                                    strategieshellip

                                    We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                                    Professional Development

                                    is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                                    The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                                    The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                                    Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                                    CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                    CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                    CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                    Assessment for Learning

                                    Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                    The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                    bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                    have grade or a statement of level of mastery

                                    Assessment for Learning

                                    With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                    practices can dramatically improve student motivation and learning

                                    Assessment for learning strategies address the information needs of both teachers and students

                                    Assessment for LearningFive Keys to Quality Classroom Assessments

                                    Stiggins et al (2004) p 13

                                    Letrsquos take a Letrsquos take a closer look closer look

                                    at the at the Common Common

                                    Core State Core State StandardsStandards

                                    • Slide 1
                                    • Slide 2
                                    • Slide 3
                                    • Puts the Pieces Together - Nationally
                                    • Puts the Pieces Together - KY
                                    • Slide 6
                                    • Teacher Content Leadership Work
                                    • Slide 8
                                    • Slide 9
                                    • Common Core Standards
                                    • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                    • Slide 12
                                    • Slide 13
                                    • Slide 14
                                    • KCAS Progression Document
                                    • Grade Level SpanhellipMath Sample
                                    • Grade Level Shift Document
                                    • Emphasis on preparing students for college and the careers of the 21st Century
                                    • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                    • Literacy skills are integrated into science social studies and technical subjects
                                    • Slide 21
                                    • Slide 22
                                    • Slide 23
                                    • Slide 24
                                    • Slide 25
                                    • Slide 26
                                    • Assessment for Learning
                                    • Slide 28
                                    • Slide 29
                                    • Assessment for Learning Five Keys to Quality Classroom Assessments
                                    • Slide 31

                                      ELA Standardsmdashhow to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical SubjectsCollege and Career Readiness Anchor StandardsELA

                                      ndash 4 sets Reading Writing Language and Speaking and Listeningndash Social Studies Science and Technical Subjectsmdash2 sets Reading and Writingndash All of the standards within the grade bands are linked to these anchors with

                                      building complexity as the grades increase

                                      StrandsWithin each set the anchors are divided into strands

                                      Grade BandsThe ELA anchors are grouped K 5 and 6 12 (6 12 only for Social ‐ ‐ ‐Studies Science and Technical Subjects)

                                      StandardsThe standards within grades and grade bands provide further specificity in a developmentally appropriate progression toward meeting the expectation of the anchor

                                      Appendices with exemplar texts performance tasks student work

                                      Literacy skills are integrated into science social studies and technical subjects

                                      20

                                      Literacy skills are integrated into science social studies and technical subjects

                                      21

                                      Supporting the Common Core

                                      Implementation

                                      TheThe HowHow amp amp

                                      How WellHow Well

                                      bull Marzano identified nine

                                      instructional strategies

                                      that enhance student

                                      achievement

                                      bull Barren Co focus for

                                      past few years

                                      One mark of an effective

                                      teacher is the ability to

                                      use an array of research-

                                      based instructional

                                      strategieshellip

                                      We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                                      Professional Development

                                      is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                                      The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                                      The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                                      Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                                      CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                      CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                      CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                      Assessment for Learning

                                      Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                      The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                      bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                      have grade or a statement of level of mastery

                                      Assessment for Learning

                                      With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                      practices can dramatically improve student motivation and learning

                                      Assessment for learning strategies address the information needs of both teachers and students

                                      Assessment for LearningFive Keys to Quality Classroom Assessments

                                      Stiggins et al (2004) p 13

                                      Letrsquos take a Letrsquos take a closer look closer look

                                      at the at the Common Common

                                      Core State Core State StandardsStandards

                                      • Slide 1
                                      • Slide 2
                                      • Slide 3
                                      • Puts the Pieces Together - Nationally
                                      • Puts the Pieces Together - KY
                                      • Slide 6
                                      • Teacher Content Leadership Work
                                      • Slide 8
                                      • Slide 9
                                      • Common Core Standards
                                      • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                      • Slide 12
                                      • Slide 13
                                      • Slide 14
                                      • KCAS Progression Document
                                      • Grade Level SpanhellipMath Sample
                                      • Grade Level Shift Document
                                      • Emphasis on preparing students for college and the careers of the 21st Century
                                      • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                      • Literacy skills are integrated into science social studies and technical subjects
                                      • Slide 21
                                      • Slide 22
                                      • Slide 23
                                      • Slide 24
                                      • Slide 25
                                      • Slide 26
                                      • Assessment for Learning
                                      • Slide 28
                                      • Slide 29
                                      • Assessment for Learning Five Keys to Quality Classroom Assessments
                                      • Slide 31

                                        Literacy skills are integrated into science social studies and technical subjects

                                        20

                                        Literacy skills are integrated into science social studies and technical subjects

                                        21

                                        Supporting the Common Core

                                        Implementation

                                        TheThe HowHow amp amp

                                        How WellHow Well

                                        bull Marzano identified nine

                                        instructional strategies

                                        that enhance student

                                        achievement

                                        bull Barren Co focus for

                                        past few years

                                        One mark of an effective

                                        teacher is the ability to

                                        use an array of research-

                                        based instructional

                                        strategieshellip

                                        We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                                        Professional Development

                                        is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                                        The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                                        The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                                        Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                                        CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                        CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                        CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                        Assessment for Learning

                                        Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                        The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                        bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                        have grade or a statement of level of mastery

                                        Assessment for Learning

                                        With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                        practices can dramatically improve student motivation and learning

                                        Assessment for learning strategies address the information needs of both teachers and students

                                        Assessment for LearningFive Keys to Quality Classroom Assessments

                                        Stiggins et al (2004) p 13

                                        Letrsquos take a Letrsquos take a closer look closer look

                                        at the at the Common Common

                                        Core State Core State StandardsStandards

                                        • Slide 1
                                        • Slide 2
                                        • Slide 3
                                        • Puts the Pieces Together - Nationally
                                        • Puts the Pieces Together - KY
                                        • Slide 6
                                        • Teacher Content Leadership Work
                                        • Slide 8
                                        • Slide 9
                                        • Common Core Standards
                                        • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                        • Slide 12
                                        • Slide 13
                                        • Slide 14
                                        • KCAS Progression Document
                                        • Grade Level SpanhellipMath Sample
                                        • Grade Level Shift Document
                                        • Emphasis on preparing students for college and the careers of the 21st Century
                                        • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                        • Literacy skills are integrated into science social studies and technical subjects
                                        • Slide 21
                                        • Slide 22
                                        • Slide 23
                                        • Slide 24
                                        • Slide 25
                                        • Slide 26
                                        • Assessment for Learning
                                        • Slide 28
                                        • Slide 29
                                        • Assessment for Learning Five Keys to Quality Classroom Assessments
                                        • Slide 31

                                          Literacy skills are integrated into science social studies and technical subjects

                                          21

                                          Supporting the Common Core

                                          Implementation

                                          TheThe HowHow amp amp

                                          How WellHow Well

                                          bull Marzano identified nine

                                          instructional strategies

                                          that enhance student

                                          achievement

                                          bull Barren Co focus for

                                          past few years

                                          One mark of an effective

                                          teacher is the ability to

                                          use an array of research-

                                          based instructional

                                          strategieshellip

                                          We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                                          Professional Development

                                          is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                                          The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                                          The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                                          Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                                          CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                          CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                          CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                          Assessment for Learning

                                          Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                          The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                          bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                          have grade or a statement of level of mastery

                                          Assessment for Learning

                                          With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                          practices can dramatically improve student motivation and learning

                                          Assessment for learning strategies address the information needs of both teachers and students

                                          Assessment for LearningFive Keys to Quality Classroom Assessments

                                          Stiggins et al (2004) p 13

                                          Letrsquos take a Letrsquos take a closer look closer look

                                          at the at the Common Common

                                          Core State Core State StandardsStandards

                                          • Slide 1
                                          • Slide 2
                                          • Slide 3
                                          • Puts the Pieces Together - Nationally
                                          • Puts the Pieces Together - KY
                                          • Slide 6
                                          • Teacher Content Leadership Work
                                          • Slide 8
                                          • Slide 9
                                          • Common Core Standards
                                          • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                          • Slide 12
                                          • Slide 13
                                          • Slide 14
                                          • KCAS Progression Document
                                          • Grade Level SpanhellipMath Sample
                                          • Grade Level Shift Document
                                          • Emphasis on preparing students for college and the careers of the 21st Century
                                          • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                          • Literacy skills are integrated into science social studies and technical subjects
                                          • Slide 21
                                          • Slide 22
                                          • Slide 23
                                          • Slide 24
                                          • Slide 25
                                          • Slide 26
                                          • Assessment for Learning
                                          • Slide 28
                                          • Slide 29
                                          • Assessment for Learning Five Keys to Quality Classroom Assessments
                                          • Slide 31

                                            Supporting the Common Core

                                            Implementation

                                            TheThe HowHow amp amp

                                            How WellHow Well

                                            bull Marzano identified nine

                                            instructional strategies

                                            that enhance student

                                            achievement

                                            bull Barren Co focus for

                                            past few years

                                            One mark of an effective

                                            teacher is the ability to

                                            use an array of research-

                                            based instructional

                                            strategieshellip

                                            We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                                            Professional Development

                                            is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                                            The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                                            The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                                            Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                                            CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                            CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                            CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                            Assessment for Learning

                                            Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                            The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                            bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                            have grade or a statement of level of mastery

                                            Assessment for Learning

                                            With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                            practices can dramatically improve student motivation and learning

                                            Assessment for learning strategies address the information needs of both teachers and students

                                            Assessment for LearningFive Keys to Quality Classroom Assessments

                                            Stiggins et al (2004) p 13

                                            Letrsquos take a Letrsquos take a closer look closer look

                                            at the at the Common Common

                                            Core State Core State StandardsStandards

                                            • Slide 1
                                            • Slide 2
                                            • Slide 3
                                            • Puts the Pieces Together - Nationally
                                            • Puts the Pieces Together - KY
                                            • Slide 6
                                            • Teacher Content Leadership Work
                                            • Slide 8
                                            • Slide 9
                                            • Common Core Standards
                                            • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                            • Slide 12
                                            • Slide 13
                                            • Slide 14
                                            • KCAS Progression Document
                                            • Grade Level SpanhellipMath Sample
                                            • Grade Level Shift Document
                                            • Emphasis on preparing students for college and the careers of the 21st Century
                                            • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                            • Literacy skills are integrated into science social studies and technical subjects
                                            • Slide 21
                                            • Slide 22
                                            • Slide 23
                                            • Slide 24
                                            • Slide 25
                                            • Slide 26
                                            • Assessment for Learning
                                            • Slide 28
                                            • Slide 29
                                            • Assessment for Learning Five Keys to Quality Classroom Assessments
                                            • Slide 31

                                              bull Marzano identified nine

                                              instructional strategies

                                              that enhance student

                                              achievement

                                              bull Barren Co focus for

                                              past few years

                                              One mark of an effective

                                              teacher is the ability to

                                              use an array of research-

                                              based instructional

                                              strategieshellip

                                              We know what the research says -Classrooms headed by ldquomost effectiverdquo teachers have student achievement gains of 53 percentage points over the course of one year versus classrooms led by the ldquoleast effectiverdquo teachers averaging gains of only 14 percentage points

                                              Professional Development

                                              is the dominant approach to improving teachersrsquo knowledge and skills and is critical to maintaining teachersrsquo effectivenesshellip

                                              The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                                              The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                                              Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                                              CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                              CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                              CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                              Assessment for Learning

                                              Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                              The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                              bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                              have grade or a statement of level of mastery

                                              Assessment for Learning

                                              With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                              practices can dramatically improve student motivation and learning

                                              Assessment for learning strategies address the information needs of both teachers and students

                                              Assessment for LearningFive Keys to Quality Classroom Assessments

                                              Stiggins et al (2004) p 13

                                              Letrsquos take a Letrsquos take a closer look closer look

                                              at the at the Common Common

                                              Core State Core State StandardsStandards

                                              • Slide 1
                                              • Slide 2
                                              • Slide 3
                                              • Puts the Pieces Together - Nationally
                                              • Puts the Pieces Together - KY
                                              • Slide 6
                                              • Teacher Content Leadership Work
                                              • Slide 8
                                              • Slide 9
                                              • Common Core Standards
                                              • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                              • Slide 12
                                              • Slide 13
                                              • Slide 14
                                              • KCAS Progression Document
                                              • Grade Level SpanhellipMath Sample
                                              • Grade Level Shift Document
                                              • Emphasis on preparing students for college and the careers of the 21st Century
                                              • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                              • Literacy skills are integrated into science social studies and technical subjects
                                              • Slide 21
                                              • Slide 22
                                              • Slide 23
                                              • Slide 24
                                              • Slide 25
                                              • Slide 26
                                              • Assessment for Learning
                                              • Slide 28
                                              • Slide 29
                                              • Assessment for Learning Five Keys to Quality Classroom Assessments
                                              • Slide 31

                                                The Characteristics of Highly Effective Teaching and Learning create a common point of reference for discussing effective practices in teaching and learning by describing the role of the teacher and student in an exemplary instructional environment

                                                The document is divided into five components Learning Climate Classroom Assessment and Reflection Instructional Rigor and Student Engagement Instructional Relevance Knowledge of Content

                                                Each of these components is supported with a list of characteristics of effective teacher practices and student actions The Characteristics are based upon some of the most current research findings from several resources

                                                CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                                CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                                CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                                Assessment for Learning

                                                Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                                The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                                bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                                have grade or a statement of level of mastery

                                                Assessment for Learning

                                                With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                                practices can dramatically improve student motivation and learning

                                                Assessment for learning strategies address the information needs of both teachers and students

                                                Assessment for LearningFive Keys to Quality Classroom Assessments

                                                Stiggins et al (2004) p 13

                                                Letrsquos take a Letrsquos take a closer look closer look

                                                at the at the Common Common

                                                Core State Core State StandardsStandards

                                                • Slide 1
                                                • Slide 2
                                                • Slide 3
                                                • Puts the Pieces Together - Nationally
                                                • Puts the Pieces Together - KY
                                                • Slide 6
                                                • Teacher Content Leadership Work
                                                • Slide 8
                                                • Slide 9
                                                • Common Core Standards
                                                • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                                • Slide 12
                                                • Slide 13
                                                • Slide 14
                                                • KCAS Progression Document
                                                • Grade Level SpanhellipMath Sample
                                                • Grade Level Shift Document
                                                • Emphasis on preparing students for college and the careers of the 21st Century
                                                • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                                • Literacy skills are integrated into science social studies and technical subjects
                                                • Slide 21
                                                • Slide 22
                                                • Slide 23
                                                • Slide 24
                                                • Slide 25
                                                • Slide 26
                                                • Assessment for Learning
                                                • Slide 28
                                                • Slide 29
                                                • Assessment for Learning Five Keys to Quality Classroom Assessments
                                                • Slide 31

                                                  CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                                  CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                                  Assessment for Learning

                                                  Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                                  The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                                  bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                                  have grade or a statement of level of mastery

                                                  Assessment for Learning

                                                  With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                                  practices can dramatically improve student motivation and learning

                                                  Assessment for learning strategies address the information needs of both teachers and students

                                                  Assessment for LearningFive Keys to Quality Classroom Assessments

                                                  Stiggins et al (2004) p 13

                                                  Letrsquos take a Letrsquos take a closer look closer look

                                                  at the at the Common Common

                                                  Core State Core State StandardsStandards

                                                  • Slide 1
                                                  • Slide 2
                                                  • Slide 3
                                                  • Puts the Pieces Together - Nationally
                                                  • Puts the Pieces Together - KY
                                                  • Slide 6
                                                  • Teacher Content Leadership Work
                                                  • Slide 8
                                                  • Slide 9
                                                  • Common Core Standards
                                                  • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                                  • Slide 12
                                                  • Slide 13
                                                  • Slide 14
                                                  • KCAS Progression Document
                                                  • Grade Level SpanhellipMath Sample
                                                  • Grade Level Shift Document
                                                  • Emphasis on preparing students for college and the careers of the 21st Century
                                                  • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                                  • Literacy skills are integrated into science social studies and technical subjects
                                                  • Slide 21
                                                  • Slide 22
                                                  • Slide 23
                                                  • Slide 24
                                                  • Slide 25
                                                  • Slide 26
                                                  • Assessment for Learning
                                                  • Slide 28
                                                  • Slide 29
                                                  • Assessment for Learning Five Keys to Quality Classroom Assessments
                                                  • Slide 31

                                                    CHETL ndash KDE SitehttpwwweducationkygovKDEInstructional+ResourcesHighly+Effective+Teaching+and+LearningHETL+Common+Characteristicstm

                                                    Assessment for Learning

                                                    Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                                    The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                                    bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                                    have grade or a statement of level of mastery

                                                    Assessment for Learning

                                                    With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                                    practices can dramatically improve student motivation and learning

                                                    Assessment for learning strategies address the information needs of both teachers and students

                                                    Assessment for LearningFive Keys to Quality Classroom Assessments

                                                    Stiggins et al (2004) p 13

                                                    Letrsquos take a Letrsquos take a closer look closer look

                                                    at the at the Common Common

                                                    Core State Core State StandardsStandards

                                                    • Slide 1
                                                    • Slide 2
                                                    • Slide 3
                                                    • Puts the Pieces Together - Nationally
                                                    • Puts the Pieces Together - KY
                                                    • Slide 6
                                                    • Teacher Content Leadership Work
                                                    • Slide 8
                                                    • Slide 9
                                                    • Common Core Standards
                                                    • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                                    • Slide 12
                                                    • Slide 13
                                                    • Slide 14
                                                    • KCAS Progression Document
                                                    • Grade Level SpanhellipMath Sample
                                                    • Grade Level Shift Document
                                                    • Emphasis on preparing students for college and the careers of the 21st Century
                                                    • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                                    • Literacy skills are integrated into science social studies and technical subjects
                                                    • Slide 21
                                                    • Slide 22
                                                    • Slide 23
                                                    • Slide 24
                                                    • Slide 25
                                                    • Slide 26
                                                    • Assessment for Learning
                                                    • Slide 28
                                                    • Slide 29
                                                    • Assessment for Learning Five Keys to Quality Classroom Assessments
                                                    • Slide 31

                                                      Assessment for Learning

                                                      Classroom Assessment for Student Learning (by Rick Stiggins Judith Arter Stephen Chappuis and Jan Chappuis) makes the distinction between assessment of and for learning

                                                      The purpose of assessment of learning is to summarize the achievement status of individuals and groups at a point in time

                                                      bull assessment of learningldquo summative assessment bull Classroom-level summative assessment usually

                                                      have grade or a statement of level of mastery

                                                      Assessment for Learning

                                                      With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                                      practices can dramatically improve student motivation and learning

                                                      Assessment for learning strategies address the information needs of both teachers and students

                                                      Assessment for LearningFive Keys to Quality Classroom Assessments

                                                      Stiggins et al (2004) p 13

                                                      Letrsquos take a Letrsquos take a closer look closer look

                                                      at the at the Common Common

                                                      Core State Core State StandardsStandards

                                                      • Slide 1
                                                      • Slide 2
                                                      • Slide 3
                                                      • Puts the Pieces Together - Nationally
                                                      • Puts the Pieces Together - KY
                                                      • Slide 6
                                                      • Teacher Content Leadership Work
                                                      • Slide 8
                                                      • Slide 9
                                                      • Common Core Standards
                                                      • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                                      • Slide 12
                                                      • Slide 13
                                                      • Slide 14
                                                      • KCAS Progression Document
                                                      • Grade Level SpanhellipMath Sample
                                                      • Grade Level Shift Document
                                                      • Emphasis on preparing students for college and the careers of the 21st Century
                                                      • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                                      • Literacy skills are integrated into science social studies and technical subjects
                                                      • Slide 21
                                                      • Slide 22
                                                      • Slide 23
                                                      • Slide 24
                                                      • Slide 25
                                                      • Slide 26
                                                      • Assessment for Learning
                                                      • Slide 28
                                                      • Slide 29
                                                      • Assessment for Learning Five Keys to Quality Classroom Assessments
                                                      • Slide 31

                                                        Assessment for Learning

                                                        With CASL the major focus is assessment for learningmdash Research shows that assessment for learning

                                                        practices can dramatically improve student motivation and learning

                                                        Assessment for learning strategies address the information needs of both teachers and students

                                                        Assessment for LearningFive Keys to Quality Classroom Assessments

                                                        Stiggins et al (2004) p 13

                                                        Letrsquos take a Letrsquos take a closer look closer look

                                                        at the at the Common Common

                                                        Core State Core State StandardsStandards

                                                        • Slide 1
                                                        • Slide 2
                                                        • Slide 3
                                                        • Puts the Pieces Together - Nationally
                                                        • Puts the Pieces Together - KY
                                                        • Slide 6
                                                        • Teacher Content Leadership Work
                                                        • Slide 8
                                                        • Slide 9
                                                        • Common Core Standards
                                                        • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                                        • Slide 12
                                                        • Slide 13
                                                        • Slide 14
                                                        • KCAS Progression Document
                                                        • Grade Level SpanhellipMath Sample
                                                        • Grade Level Shift Document
                                                        • Emphasis on preparing students for college and the careers of the 21st Century
                                                        • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                                        • Literacy skills are integrated into science social studies and technical subjects
                                                        • Slide 21
                                                        • Slide 22
                                                        • Slide 23
                                                        • Slide 24
                                                        • Slide 25
                                                        • Slide 26
                                                        • Assessment for Learning
                                                        • Slide 28
                                                        • Slide 29
                                                        • Assessment for Learning Five Keys to Quality Classroom Assessments
                                                        • Slide 31

                                                          Assessment for LearningFive Keys to Quality Classroom Assessments

                                                          Stiggins et al (2004) p 13

                                                          Letrsquos take a Letrsquos take a closer look closer look

                                                          at the at the Common Common

                                                          Core State Core State StandardsStandards

                                                          • Slide 1
                                                          • Slide 2
                                                          • Slide 3
                                                          • Puts the Pieces Together - Nationally
                                                          • Puts the Pieces Together - KY
                                                          • Slide 6
                                                          • Teacher Content Leadership Work
                                                          • Slide 8
                                                          • Slide 9
                                                          • Common Core Standards
                                                          • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                                          • Slide 12
                                                          • Slide 13
                                                          • Slide 14
                                                          • KCAS Progression Document
                                                          • Grade Level SpanhellipMath Sample
                                                          • Grade Level Shift Document
                                                          • Emphasis on preparing students for college and the careers of the 21st Century
                                                          • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                                          • Literacy skills are integrated into science social studies and technical subjects
                                                          • Slide 21
                                                          • Slide 22
                                                          • Slide 23
                                                          • Slide 24
                                                          • Slide 25
                                                          • Slide 26
                                                          • Assessment for Learning
                                                          • Slide 28
                                                          • Slide 29
                                                          • Assessment for Learning Five Keys to Quality Classroom Assessments
                                                          • Slide 31

                                                            Letrsquos take a Letrsquos take a closer look closer look

                                                            at the at the Common Common

                                                            Core State Core State StandardsStandards

                                                            • Slide 1
                                                            • Slide 2
                                                            • Slide 3
                                                            • Puts the Pieces Together - Nationally
                                                            • Puts the Pieces Together - KY
                                                            • Slide 6
                                                            • Teacher Content Leadership Work
                                                            • Slide 8
                                                            • Slide 9
                                                            • Common Core Standards
                                                            • Mathematics Standardsmdash how to read the CCSS documents for Mathematics
                                                            • Slide 12
                                                            • Slide 13
                                                            • Slide 14
                                                            • KCAS Progression Document
                                                            • Grade Level SpanhellipMath Sample
                                                            • Grade Level Shift Document
                                                            • Emphasis on preparing students for college and the careers of the 21st Century
                                                            • ELA Standardsmdash how to read the CCSS documents for ELA amp Literacy in Social StudiesHistory amp Technical Subjects
                                                            • Literacy skills are integrated into science social studies and technical subjects
                                                            • Slide 21
                                                            • Slide 22
                                                            • Slide 23
                                                            • Slide 24
                                                            • Slide 25
                                                            • Slide 26
                                                            • Assessment for Learning
                                                            • Slide 28
                                                            • Slide 29
                                                            • Assessment for Learning Five Keys to Quality Classroom Assessments
                                                            • Slide 31

                                                              top related