Decatur Public Schools Math Essential Learning Outcomes ...

Decatur Public Schools

Math Essential Learning Outcomes

& Pacing Guide

2009-2010

Decatur Public Schools – August 2009 2

Mathematics

Essential Learning Outcomes & Pacing Guides

This document is a result of the collaborative efforts of the Math Curriculum Team made up of pre-kindergarten and elementary teachers throughout the district.

The Essential Learning Outcomes, at each grade level, represent the top priorities in students’ learning. These indicators also become the guaranteed and viable curriculum that gives students access to the same essential learning regardless of building or classroom assignment.

In the development of the Essential Learning Outcomes, the team discussed which Illinois Learning Standards, Performance Descriptors, and Assessment Framework objectives are considered absolutely essential for student success. The ISAT Item Analysis was also used as a goal to provide insight into the type and frequency of items tested. Based on this frequency as well as student performance, participants established grade level ELOs. With this shift in emphasis from “coverage to focus,” staff members can find more opportunities to revisit prioritized ELOs throughout the year in order to help students meet and exceed Illinois state standards.

Listed on each page are the Essential Learning Outcomes for a particular grade level. It is the district’s expectation that teachers not only become familiar with and utilize the ELOs at their grade level, but also the grade levels preceding and following their own. Ideally, ELOs will be used in planning lessons for the present school year as well as preparing students for the succeeding school year. In other words, teachers can ensure that curriculum is not heavily repeated or inadvertently omitted from one grade to another.


The Pacing-at-a-Glance Guide is provided to give an overall, long-term view of curriculum coverage needed in preparation for March administration of the Illinois Standards Achievement Test. The document is presented as a guide with the understanding that strong student achievement results occur only when the teacher assesses students prior to instruction, during instruction and after instruction AND alters pacing and practices based on what the data indicate. It is our expectation that teachers will use the Professional Learning Community model described in the prior sentence to pace instruction in order to facilitate student learning. Our emphasis must be on student learning, rather than teaching. Certain concepts will require more time than the guide indicates. Some concepts will require less time than the guide indicates. Remember our District focus; Teaching and Learning, Every Child, Every Day.

Math Task Force Co-Chairs, Assistant Superintendent Marla Robinson Instructional Specialist Jewel Grady


Essential Learning Outcomes & Pacing Guides

Table of Contents

Grade Level Page

Pre-Kindergarten (3, 4 year olds) 5

Kindergarten 7

First Grade 12

Second Grade 16

Third Grade 20

Fourth Grade 25

Fifth Grade 30

Sixth Grade 34


Pre-K (3 & 4 year olds)

Essential Learning Outcomes for Math Derived from Illinois State Standards – Early Childhood Goals

First Semester

State Standard 6A - Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

6.A.EC.a Uses concepts that include number recognition, counting and one to one correspondence.

State Standard 8A - Describe numerical relationships using variables and patterns.

8.A.EC Sorts and classifies objects by a variety of properties.

State Standard 9A - Demonstrate and apply geometric concepts involving points, lines, planes and space.

9.A.EC Recognize geometric shapes and structures in the environment.

Second Semester


6.A.EC.a Uses concepts that include number recognition, counting and one to one correspondence.

State Standard 8A - Describe numerical relationships using variables and patterns. 8.A.EC Sorts and classifies objects by a variety of properties – colors, shapes and colors.


Pre-Kindergarten continued Second Semester State Standard 8B - Interpret and describe numerical relationships using tables, graphs and symbols. 8.B.EC.a Recognizes, duplicates and extends simple patterns such as sequence of sounds. State Standard 9A - Demonstrate and apply geometric concepts involving points, lines, planes and space.

9.A.EC Recognize geometric shapes and structures in the environment.


Kindergarten

Essential Learning Outcomes for Math Derived from the Illinois State Standards – Kindergarten Goals

Benchmarks/Descriptors used to develop Kindergarten Outcomes

First Semester

State Benchmark 8.A.Ka - Sort objects into groups and tell the rule or rationale for the groups.

Descriptors: Describe common and uncommon attributes (all, some, none) in a set.

State Benchmark 9.B.K - Show understanding of and use direction, location, and position words. Descriptors: Explain the position of an object in relation to another object (e.g., inside/outside, behind/in front of, or under/above).

State Benchmark 8.A.Kb - Recognize, describe, translate, duplicate, create, and extend pattern in various formats.

Descriptors: Recognize, describe, and extend patterns such as sequences of sounds, motions, shapes, or simple numeric patterns, and translate from one representation to another (e.g., red-blue-red-blue- translates to snap-clap-snap-clap).

State Benchmark 6.A.Ka & 6.A.Kb - Use concepts that include number recognition, counting, sequence of numbers, one-to-one correspondence, and ordinals and count with understanding and recognize “how many” in sets of objects.

Descriptors: Match the correct numeral with sets up to ten.

Descriptors: Identify numerals out of sequence through 20.

State Benchmark 6.D.K - Make comparisons of quantities.

Descriptors: Demonstrate an understanding of more, less and equal.


Kindergarten continued First Semester

State Benchmark 9.A.Ka, 9.A.Kb - Recognize, identify, and name geometric shapes and structures in the environment.

Descriptors: Identify and name circle, square, triangle and rectangle.

State Benchmark 9.A.Kc Describe some attributes of two and three-dimensional shapes.

Descriptors: Describe characteristics of shapes (e.g., a triangle has three straight sides).

Second Semester

State Benchmark 7.A.Ka - Demonstrate a beginning understanding of measurement using non-standard units.

Descriptors: Measure objects using non-standard units.

State Benchmark 7.A.Kc - Order, compare and describe objects by size, length, capacity and weight.

Descriptors: Compare and order objects according to measurable attributes.

State Benchmark 6.B.Ka & 6.B.Kb - Solve simple math problems mentally, or by using objects, drawing pictures, etc. & represent mathematical ideas with symbols, pictures, or objects. Descriptors: Use objects, simple drawings, or symbols to represent mathematical ideas, such as how many pieces each child can have for snack.

State Benchmark 8.C.K - Investigate addition and subtraction using concrete objects.

Descriptors: Explore one-step addition and subtraction number sentences and word problems using objects such as pennies, counters, etc.


Kindergarten continued Second Semester

State Benchmark 6.A.Ka , 6.A.Kb & 6.C.Kb - Use concepts that include number recognition, counting, sequence of numbers, one-to-one correspondence and ordinals, count with understanding and recognize “how many” in sets of objects, and connect numbers to quantities they represent using physical models and representations.

Descriptors: Match the correct numeral to the number of objects.

State Benchmark 8.A.Kb - Recognize, describe, translate, duplicate, create, and extend patterns in various formats.

Descriptors: Recognize, describe, and extend patterns, and translate from one representation to another.

State Benchmark 6.D.K - Make comparisons of quantities.

Descriptors: Demonstrate an understanding of more, less, and equal.

State Benchmark 8.B.K & 10.A.Ka - Construct and explain a simple graph & represent data using concrete objects, pictures, and graphs.

Descriptors: Make a graph on growth of seeds planted before vacation that are now small plants.

Descriptors: Organize, describe, and label simple data displays such as pictographs, tallies, tables, and bar graphs.

State Benchmark 10.B.K - Gather and analyze data about themselves or their environment.

Descriptors: Gather data to answer a simple question.


Pacing-at-a-Glance Kindergarten

Performance Descriptors Topic Topic Name Number of

Lessons Months Months (Hope Academy)

9A, 8A 1 Sorting & Classifying (all, test) 6 August/September July/August

9B 2 Position & Location (all, test) 7 September August

8A 3 Patterns (all, test) 8 September August

6C, D, 8C 4 Zero to Five (all, test) 11 October September

6C, 8C 5 Six to Ten (all, test) 12 November October

6B, D 6 Comparing Numbers (all, test) 6 November/December October/November

9A 7 Geometry (omit 7-3, 7-4, 7-5, test) 7 December November

7A 9 Measurement 11 January December

8C, 6B 10 Addition (all, test) 8 January/February December/January

8C 11 Subtraction (all, test) 8 February/March January/February

6C, 8A 12 Larger Numbers (omit 12-5, test) 10 March February

6D, 10A, B, C, 8B 16 Graphing 8 March/April February/March


Pacing-at-a-Glance Kindergarten continued



6A, 9B *8 – STEP UP Fractions & Ordinals 7 April March

7A *13 – STEP UP Money 7 April/May March/April

9A, B, 7A *14 – STEP UP Time 8 May April

6A, 8A *15 – STEP UP Calendar 8 May May/June

Revised July 2009

* STEP UP lessons preview 1st/2nd grade curriculum/K teachers should strive to teach STEP UP lessons in April and May if possible. • Daily calendar instruction is a MUST in the K classroom, therefore, students should review days of the week, months, year and other

skills associated with calendar each day. • Topic months for Hope Academy will not reflect intersession periods, therefore, the numerical sequence should be followed with

adjustments made based on intersession start/return dates.


Grade 1

Essential Learning Outcomes for Math Derived from Illinois State Standards – Early Elementary Goals

First Semester


6.A.1 Count with understanding, including skip counting by 2’s, 5’s, and 10’s from zero.

6.A.2 Recognize “how many” in sets of objects.

6.A.7 Connect number words & numerals to the quantities they represent.

State Standard 6B - Investigate, represent, and solve problems using number facts, & operations.

6.B.1 Solve one-step addition & subtraction number sentences & word problems using concrete materials.

6.B.4 Explore and apply properties of addition and subtraction.

6.B.5 Compute using fact families.

State Standard 6C – Compute and estimate using mental mathematics, paper-and-pencil methods, calculators, and computers.

6.C.1 Develop and use strategies for whole number computations with a focus on addition and subtraction.

State Standard 8A – Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems, and predict results.

8.A.4 Analyze repeating patterns.


Grade 1 continued

Second Semester


6.A.4 Develop initial understanding of place value & the base-ten number system using manipulatives.

6.A.5 Describe numeric relationships using appropriate vocabulary.


6.B.5 Demonstrate fluency with basic addition and subtraction facts.

State Standard 7A – Measure and compare quantities, using appropriate units, instruments, and methods.

7.A.1 Determine the attributes of an object that are measurable.

7.A.2 Compare and order objects according to measurable attributes.

7.A.3 Measure objects using non-standard units.

7.A.5 Identify units of money and the value of each.

State Standard 8C – Solve problems using systems of numbers and their properties.

8.C.1 Solve simple number sentences with variables.

State Standard 8D – Use algebraic concepts and procedures to represent and solve problems.

8.D.1 Solve real life word problems using patterns.

State Standard 10A – Organize, describe, and make predictions from existing data.

10.A.1 Organize, describe, and label simple data displays such as pictographs, tallies, tables, and bar graphs.


Pacing-at-a-Glance Grade 1

Revised July 2009



6A, 8A 1 Numbers to 12 (all, test) 7 August July

6D 2 Comparing and Ordering Numbers (all, test) 5 September August

6B, 8A 3 Understanding Addition (all, test) 8 September August

6B, C, D, 8A, 4 Understanding Subtraction (all, test) 9 September August

6A, C, 10A 5 Five and Ten Relationships (all, test) 6 October September

6B, C, 8C 6 Addition Facts to 12 (all, test) 7 October October

6B, C, 8A 7 Subtraction Facts to 12 (all, test) 6 October October

9A, B, C 8 Geometry (all but 8-3, 8-4, 8-5, 8-6, 8-10, 8-11, test) 7 November October

8A 9 Patterns (all, test) 5 November November

6A, 8A 10 Counting and Number Patterns to 100 (all, test) 10 November/December November

6A, B, 10A 11 Tens and Ones (all, test) 7 December December

6A, D, 8A 12 Comparing and Ordering Numbers to 100 (all, test) 9 January January

7A, 6C 13 Counting Money (all but 13-4, 13-5, test) 5 January January


Pacing-at-a-Glance Grade 1 continued

Revised July 2009


Lessons Months Months (Hope

Academy) 7A, B, C 14 Measurement (omit 14-7, 14-8, 14-9, 14-13, test) 10 February February

7A, B 15 Time (omit 15-6, test) 6 February February

6B, C, 10C 16 Addition Facts to 18 (all, test) 9 March March

6B, C, 8A 17 Subtraction Facts to 18 (all, test) 6 March March

10A, C, 9A 18 Data and Graphs (omit 18-4, 18-9, 18-10, test) 8 March March

6A, 10A 19 Fractional Parts (all, test) 6 April April

6B, C, 8A 20 Adding & Subtracting with Tens & Ones (omit 20-4, 20-7, test) 7 April April

9B 7A, C,

10A, C, 6B Step-Up

8-6, 8-10, 8-11, 14-7, 14-8, 14-9, 14-13, 15-6,

18-9, 18-10, 20-4, 20-7 12 April/May April/May


Grade 2

Essential Learning Outcomes for Math Derived from Illinois State Standards – Early Elementary Goals

First Semester


6.A.4 Develop initial understanding of place value and base-ten number system using manipulatives.

6.A.7 Connect number words and numerals to the quantities they represent.





7.A.4 Explore and describe chronological events (calendars, timelines, seasons/analog clock).

7.A.6 Count like sets of coins.

State Standard 8C – Solve problems using systems of numbers and their properties.

8.C.1 Solve simpler number sentences with variables (missing addend problems)

State Standard 10C - Can determine, describe and apply the probabilities of events.

10.C.1 Identify possible and impossible results of probability events using concrete materials.


Grade 2 continued

Second Semester


6.A.8 Describe parts of a whole using 1/2, 1/3, 1/4.





7.A.3 Measure objects using standard and nonstandard units.

State Standard 7C –Select and use appropriate technology, instruments, and formulas to solve problems, interpret results, and communicate findings.

7.C.1 Select appropriate nonstandard measurement units to measure length, weight, and capacity.

State Standard 9A - Demonstrate and apply geometric concepts involving points, lines, planes and space. 9.A.5 Recognize and describe shapes that have line symmetry.

State Standard 9B –Identify, describe, classify and compare relationships using points, lines, planes, and solids.

9.B.2 Compare and sort 2 and 3 dimensional objects.


Grade 2 continued

State Standard 10A – Organize, describe, and make predictions from existing data.

10.A.1 Organize, describe, and label simple data displays such as pictographs, tallies, tables, and bar graphs.



Revised July 2009



6B, 8C 1 Understanding Addition & Subtraction (all, test) 8 August July

6B 2 Addition Strategies (all, test) 9 September August

6B, 8C 3 Subtraction Strategies (all, test) 7 September August

7A 5 Counting Money (all, test) 7 September September

7A, 7B, 7C, 6B 15 Time & Temperature (omit 15-4, test) 6 October September

6A 4 Place Value: Numbers to 100 (all, test) 11 October October

6A, 6C, 8A 17 Numbers & Patterns to 1,000 (all, test) 10 October/November October

6C 6 Mental Addition 6 November October/November

6B, 8C 8 Adding Two-Digit Numbers (all, test) 8 November/December November

6C, 8C 7 Mental Subtraction (all, test) 6 December November/December

6B 9 Subtracting Two-Digit Numbers (all, test) 8 December December


Grade 3

Essential Learning Outcomes for Math Derived from Illinois Math Assessment Framework

First Semester

State Standard 6A – Representations and Ordering

6.3.01 Read, write, recognize, & model equivalent representations of whole numbers and their place values up to 100,000.

6.3.03 Recognize a fraction represented with a pictorial model.

6.3.05 Order and compare whole numbers up to 10,000 using symbols and words.

State Standard 6B, 6C – Computation, Operations, Estimation, and Properties

6.3.09 Solve problems & number sentences involving addition and subtraction with regrouping.

6.3.10 Solve problems involving the value of a collection of bills and coins whose total value is $10.00 or less, and make change.

6.3.11 Model & apply basic multiplication facts (up to 10 x 10) and apply them to related multiples of 10.

6.3.14 Make estimates appropriate to a given situation with whole numbers.

State Standard 8C, 8D – Writing, Interpreting, and Solving Equations

8.3.05 Solve word problems involving unknown quantities.


Grade 3 continued State Standard 9A – Properties of Single Figures and Coordinate Geometry

9.3.01 & 9.3.02 Identify, describe, and sketch two dimensional and three dimensional shapes according to their characteristics.

9.3.03 Locate & identify points using numbers & symbols on a grid.

9.3.04 Identify a figure whether or not a figure has a line of symmetry, and sketch or identify the line of symmetry.

State Standard 9B – Relationships Between and Among Multiple Figures

9.3.10 Identify congruent and similar figures by visual inspection.

Second Semester

State Standard 7A, 7B, 7C – Units, Tools, Estimation, and Applications

7.3.01 Solve problems involving simple elapsed time in compound units.

7.3.02 Select & use appropriate standard units and tools to measure length, time, and temperature.

7.3.03 & 7.3.04 Solve problems involving the perimeter and area of a polygon.

7.3.07 Solve problems involving simple unit conversions within the same measurement system for time and length.

State Standard 8A – Representations, Patterns, and Expressions

8.3.01 Determine a missing term in a pattern, describe a pattern, and extend a pattern when given a description or pattern.

State Standard 10A, 10B – Data Analysis and Statistics

10.3.01 Read and interpret data represented in a pictograph, bar graph, Venn diagram, tally chart, or table.

10.3.03 Determine the mode given in a set of data on a graph.


Grade 3 continued

State Standard 10C – Probability

10.3.04 Classify events using words such as certain, most likely, equally likely, least likely, possible, and impossible.



Assessment Framework Objectives

Topic Topic Name Number of Lessons Months Months

(Hope Academy)

6A, B, 7A, B, C 1 Numeration (all, test) 9 August/September July/August

6A, B, C, 8C, D 2 Adding Whole Numbers (all, test) 10 September August

6B, C, 8C, D 3 Subtraction Number Sense (all, test) 5 September August

6B, C, 8C, 8D 4 Subtracting Whole Numbers to Solve Problems (all, test) 6 October September

6A, B, C, 8C, D 5 Multiplication Meanings and Facts (all but 5-8, test) 9 October October

6A,8C, D 6 Multiplication Fact Strategies: Using Known Facts – 6-1, 6-2 2 October October

6B 18 Multiplying Greater Numbers (18-1 only) 1 October October

6A, 8A, C, D 9 Patterns and Relationships (all, test) 8 November November

9A 10 Solids & Shapes (all, test) 8 November November

9A, B 11 Congruence & Symmetry (all, test) 4 December December

6A, 8A 12 Understanding Fractions (12-1, 12-2, 12-3) 3 December December

6A, 8C, D 13 Decimals and Money (13-3, 13-4, 13-5) 3 December December



Revised July 2009


Topic Topic Name Number of Lessons Months

Months (Hope

Academy) 7A, B, C, 9A 14 Customary Measurement (omit 14-4, test) 5 December December

7A, B, C, 8A, C, D 15 Metric Measurement (omit 15-3, test) 4 January January

7A, B, C 16 Perimeter, Area, and Volume (omit 16-4, test) 7 January January

7A, B, C 8C, D 17 Time and Temperature (all, test) 6 January January

10A, B, C 20 Data, Graphs, and Probability (omit 20-8, test) 8 February February

6A 6A, 8A

Step Up

5-8, 6-3, 6-4, 6-5, 6-6, 6-7 6 March March/April

6A, B, C 8C, D

Step Up All of Topic 7 & 8– Division Meanings Division Facts (test) 11 April April

6C, 8C, D Step Up

All of Topic 18 (omit 18-1) Multiplying Greater Numbers (test) 6 April/May May

6A, B, C, 8C, 8D

Step Up All of Topic 19 Dividing with 1-Digit Numbers (test) 6 May May


Grade 4


First Semester


6.4.03, 6.4.08 Represent fractions as parts of unit wholes, as parts of a set, as locations on a number line, and as divisions of whole numbers.

6.4.06 Represent, order, and compare decimals to demonstrate understanding of the place value structure in the base-10 number system.

6.4.07 & 6.4.09 Solve addition or subtraction number sentences and word problems using fractions with like denominators.


6.4.10 Solve multi-step number sentences and word problems using whole numbers and the four basic operations.

6.4.11 Solve problems with whole numbers and decimals using appropriate field properties.

6.4.12 Select and use one of various algorithms to multiply and divide.


8.4.01 Create, describe, and extend patterns.


8.4.07 Solve one-step linear equations with one missing value in isolation and in problem solving situations.


Grade 4 continued

State Standard 9A – Properties of Single Figures and Coordinate Geometry

9.4.01, 9.4.02, 9.4.07 & 9.4.08 Identify, draw, and label polygons, lines, line segments, rays, parallel lines, intersecting lines, perpendicular lines, acute angles, obtuse angles, right angles, and acute, obtuse, right, scalene, isosceles, and equilateral triangle.

Second Semester


7.4.03 Solve problems involving the perimeter of a polygon with given side lengths and the area of a square, rectangle, or irregular shape composed of rectangles using diagrams, models, and grids or by measuring (may include sketching a figure from its description).

7.4.04 Develop and use common referents for volume, weight/mass, capacity, area, and angle measures to make comparisons and estimates.

7.4.06 Convert U.S. customary measurements into larger or smaller units with the help of conversion charts.


8.4.01 Identify a number pattern, both increasing and decreasing, and extend the number sequence.

State Standard 8B – Connections Using Tables, Graphs, & Symbols

8.4.04 Describe a pattern with one operation given a table of input/output numbers.


9.4.06 Explore and describe rotational symmetry of two and three dimensional shapes.


Grade 4 continued


9.4.12 Determine congruence and similarity of given shapes.


10.4.01 Represent data using tables and graphs.

10.4.02 Describe the shape and important features of a set of data and compare related data sets.




Topic Topic Name # of Lessons Months Months

(Hope Academy)

6A, B, C, 8B 1 Numeration (1-1, 1-3, 1-4, 1-6, 1-7, test) 6 August July

6A, B, C, 8B, C, D 2 Adding & Subtracting Whole Numbers (all, test) 8 September August

6A, B, C, 8C, D 3 Multiplication Meanings & Facts (all, test) 8 September August

10C 20 Probability (all, test) 5 September August

6B, C, 8C,D 4 Division Meanings & Facts (all, test) 6 October August/September

6B, C, 8C,D 5 Multiplying by 1 – Digit Numbers (all, test) 9 October September/October

8A, B, C, D 6 Patterns & Expressions (all, test) 5 October October

6B, C, 8B 7 Multiplying by 2 – Digit Numbers (all, test) 8 November November

6B, C, 8B, C, D 8 Dividing by 1 – Digit (8-1, 8-4, 8-8, 8-9, 8-10, test) 6 November November

9A 9 Lines, Angles & Shapes (omit 9-3, test) 7 November November

6A 10 Understanding Fractions (omit 10-6, test) 9 December December

6B, C, 8C,D 11 Adding & Subtracting Fractions (11-1 only) spend

a couple of days doing some extra things with like denominators

2 December December



Revised July 2009


Topic Topic Name # of Lessons Months Months

(Hope Academy)

6A 12 Understanding Decimals (12-2, 12-3, 12-4, 12-6, test) 5 December December

7A,B, C, 8B 14 Area & Perimeter (omit 14-4 & 14-5, test) 8 January January

9A, B, 7A, B, C 8A 15 Solids (all, test) 6 January January

7A, B, C, 6A 16 Measurement, Time, & Temperature (all, test) 13 January/February January/February

10A, B, 9A 17 Data & Graphs (omit 17-6, 17-8, test) 10 February February

8C, D, 6B, C 18 Equations (all, test) 6 February February/March

9A, B 19 Transformations, Congruence, & Symmetry (all, test) 8 March March

6A 6B, C,

7A, B, C

Step Up

1-2, 1-5, 8-2, 8-3, 8-5, 8-6, 8-7(test), 9-3, 10-6, 11-2, 11-3, 11-4(test), 12-1, & review

11+ March/April March/April

6A, B, C, 8B, C

Step Up

14-4, 14-5, 17-6, 17-8 & review, All of Topic 13 (Operations with Decimals and Test)

8+ May May


Grade 5


First Semester


6.5.01, 6.5.03, & 6.5.05 Read, write, recognize, and model equivalent representations of whole numbers and their place values up to 100,000,000; fractions, including improper fractions and mixed numbers; and decimals and their place values through thousandths.

6.5.04 Recognize, translate between, and model multiple representations of decimals, fractions less than one (halves, quarters, fifths, and tenths), and percents (0%, 25%, 50%, 75%, and 100%).

6.5.07, 6.5.08, & 6.5.09 Order and compare whole numbers up to 1,000,000, decimals through hundredths, and fractions having like or unlike denominators with or without models. State Standard 6B -, 6C – Computation, Operations, Estimation, and Properties 6.5.12 & 6.5.13 Solve problems and number sentences involving addition, subtraction, multiplication, and division using whole numbers and addition and subtraction of decimals through hundredths.

Standard 8A – Representations, Patterns, and Expressions 8.5.01 & 8.5.02 Create, describe, and extend patterns as well as construct and identify the rule that generates the next term in a sequence.


Fifth Grade continued

Standard 8B – Connections Using Tables, Graphs, and Symbols

8.5.05 Demonstrate, in simple situations, how a change in one quantity results in a change in another quantity (e.g., input–output tables).

Standards 8C, 8D – Writing, Interpreting, and Solving Equations 8.5.08 Solve for the unknown in an equation with one operation (e.g., 2+n=20, n÷2=6).


Standards 10A, 10B – Data Analysis and Statistics

10.5.01 Read, interpret, and make predictions from data represented in a pictograph, bar graph, line (dot) plot, Venn diagram (with two circles), chart/table, line graph, or circle graph. 10.5.03 Determine the mode, range, median (with an odd number of data points), and mean, given a set of data or a graph.

Standards 7A, 7B, 7C – Units, Tools, Estimation, and Applications

Second Semester

7.5.02 Select and use appropriate standard units and tools to measure length (to the nearest ¼ inch or mm), mass/weight, capacity, and angles. 7.5.03 Solve problems involving the perimeter and area of a triangle, rectangle, or irregular shape using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description).


Fifth Grade continued

7.5.06 Solve problems involving unit conversions within the same measurement system

9.5.01, 9.5.02, 9.5.08, & 9.5.09 Classify, describe, and sketch two–dimensional shapes (triangles, quadrilaterals, pentagons, hexagons, and octagons) and identify and describe three–dimensional shapes (cubes, spheres, cones, cylinders, prisms, and pyramids) and identify and sketch parallel, perpendicular, and intersecting lines and acute, right, and obtuse angles.

for time, length, and weight/mass, including compound units (e.g., 5ft 5in, 2lbs 2oz). Standard 9A – Properties of Single Figures and Coordinate Geometry

9.5.05 Graph, locate, identify points, and describe paths using ordered pairs (first quadrant).

9.5.07 Identify, describe, and predict results of reflections, translations, and rotations of two–dimensional shapes.

Standard 9B – Relationships Between and Among Multiple Figures

9.5.10 & 9.5.11 Identify the two–dimensional components of a three–dimensional object and a three–dimensional object from its net. 9.5.13 Identify congruent and similar figures by visual inspection.

Standard 10C – Probability 10.5.04 Solve problems involving the probability of a simple event, including representing the probability as a fraction between zero and one.




Topic Topic Name Number of Lessons Months Months

(Hope Academy)

6A 1 Numeration (all, test) 6 August July

6B, C, 8C, D 2 Adding & Subtracting Whole Numbers and Decimals (all, test) 9 September August

6B, C, 8C, D 3 Multiplying Whole Numbers (omit 3-7, test) 8 September August

6B, C, 8C, D 4 Dividing by 1-Digit Divisors (all, test) 10 September August

6B, C 5 Dividing by 2-Digit Divisors (all, test) 9 October September

6B, C, 8A, C, D 6 Variables & Expressions (omit 6-5, test) 6 October October

9A, B, 7A, B, C 8 Shapes (all, test) 7 November November

6A, B, C 9 Fractions & Decimals (all, test) 12 November November

6A, B, C 10 Adding & Subtracting Fractions & Mixed

Numbers (omit 10-3, 10-4, 10-5, 10-6, no test until April).

3 December December

7A, B, C 12 Perimeter & Area (omit 12-5, 12-7, test) 7 December December

9B, 7A, B, C 13 Solids (all, test) 8 December/January December/January




Topic Topic Name Number of Lessons Months

Months (Hope

Academy)

7A, B, C, 8C, D 14 Measurement Units, Time, & Temperature (all, test) 8 January January

8C, D 15 Solving & Writing Equations & Inequalities (omit 15-3, test) 3 January January

6D, 8B 16 Ratio & Percent (omit 16-4, test) 5 January January

6A, 9A, B 17 Equations & Graphs (omit 17-1, 17-2, test) 4 February February

10A, B, 8B 18 Graphs & Data (all but 18-4, 18-5,18-6 & 18-9, test) 6 February February

9A, B 19 Transformations, Congruence, & Symmetry (all, test) 7 February February

10C 20 Probability (all, test) 5 March March

6A, B, C, 8C, D Step Up

3-7, 6-5, All of Topic 7 & (test), 10-3, 10-4, 10-5, 10-6, test 11+ March/April March/April

7A, 8B, 6D, 6A, 9A,

10A, B, 7A, B, C

Step Up

12-5, 15-3, 16-4, 17-1, 17-2, 18-4, 18-5, 18-6, 18-9, test. If time, you can begin Topic 11 which is a 7th grade AFO. 10+ May May

Revised July 2009


Grade 6


First Semester

State Standard 6A - Representations and Ordering

6.6.01, 6.6.03, 6.6.05 Read, write, recognize, and model equivalent representations of whole numbers and their place values, fractions, and decimals and their place values through thousandths.

State Standard 6D – Ratios, Proportions, and Percents

6.6.19 Solve problems involving proportional relationships, including unit pricing.


7.6.01 Select and use appropriate standard units and tools to measure length, mass/weight, capacity, and angles.

7.6.02 & 7.6.04 Solve problems involving the perimeter and area of a triangle, parallelogram, or irregular shapes and the volume of a right rectangular prism.

7.6.05 Solve problems involving unit conversions within the same measurement system for time, length, and weight/mass.

7.6.06 Solve problems involving scale drawings and maps.


8.6.02 Write an expression using variables to represent unknown quantities.

8.6.03 Evaluate algebraic expressions with a whole number variable value.


Grade 6 continued

State Standard 8B – Connections Using Tables, Graphs, & Symbols

8.6.05 Select a table of values that satisfies a linear equation, and recognize the ordered pairs on a rectangular coordinate system.


8.6.09 Solve the unknown in an equation with one operation.


Second Semester


6.6.12 , 6.6.13 Solve problems and number sentences involving addition, subtraction, multiplication using whole numbers and decimals; and division using whole numbers.

6.6.14 Solve problems involving addition and subtraction of fractions and mixed numbers, and express answers in simplest form.

6.6.15 Identify and apply order of operations to simplify numeric expressions.


9.6.01 & 9.6.02 Classify, describe, sketch regular and irregular two-dimensional shapes and identify and describe three-dimensional shapes.

9.6.04 Identify, describe, and sketch circles, including radius, diameter, and chord.

9.6.05 Graph, locate, identify points describe paths, and plot figures using ordered pairs.


Grade 6 continued


9.6.09 Identify a three dimensional object from its net.

9.6.12 Determine if figures are similar, and identify relationships between corresponding parts of similar figures.


10.6.01 Read, interpret, and make predictions from data represented in a bar graph, line plot, Venn diagram, chart/table, line graph, or circle graph.

10.6.04 Determine the mode, range, median, and mean, given a set of data or a graph.

State Standard 10C – Probability

10.6.05 Solve problems involving the probability of a simple event, including representing the probability as a fraction, decimal, or percent.




Unit Unit Name Months Months (Hope Academy)

8B, C, D, 10A, B

7 Data About Us August/Sept. July/August

6A, B, C, 8A 1 Prime Time September/October August/Sept.

9A, B 3 Shapes & Designs October/November October/November

7A, B, C, 9A, B 5 Covering & Surrounding November/December November/December

6A, B, C, D 2 Bits & Pieces I January/February January/February

7A, B, C, 8A, B, C, D __

Hands on Equations & Measurement books & Activities (these are outside of Connected Math) February/March February

10A, B, C 6 How Likely Is It? March/April March/April

6A, B, C 4 Bits & Pieces II April/May April/May



Designate 30 minutes a week to address the following:

First Semester Second Semester

• Expressions and equations • 3 D Nets • Probability • Number Properties • Scale Drawings/Maps • Coordinate System • Input/Output Tables • Inequalities

Pick 1 and focus on it for a month—not looking for mastery just exposure.

Revised July 2009

Decatur Public Schools Math Essential Learning Outcomes ...

Documents