Math Family Night Mt. Olive Elementary School February 9, 2015 Joyce Bishop, Ph.D.

Math Family Night

Mt. Olive Elementary SchoolFebruary 9, 2015

Joyce Bishop, Ph.D.

logo taken from www.corestandards.org 2

COUNCIL OF CHIEF STATE SCHOOL OFFICERS (CCSSO) &

NATIONAL GOVERNORS ASSOCIATION

Created by:

Key Shifts

Focus Coherence

Rigor

Mathematics: 3 Shifts

1. Focus: Focus strongly on the essential content for each grade.

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Shift #1: Focus Strongly on essential content

• Significantly narrow the scope of content and deepen the time and energy that is spent in the math classroom.

• Focus deeply on what is emphasized in the standards, so that students gain strong foundations.

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Grade Focus Areas in Support of Rich Instruction and Expectations of Fluency and Conceptual Understanding

K–2 Addition and subtraction – concepts, skills, and problem solving and place value

3–5 Multiplication and division of whole numbers and fractions – concepts, skills, and problem solving

6 Ratios and proportional reasoning; early expressions and equations

7 Ratios and proportional reasoning; arithmetic of rational numbers

8 Linear algebra

Key Areas of Focus in Mathematics

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CCSS Domain ProgressionK 1 2 3 4 5 6 7 8 HS

Counting & Cardinality

Number and Operations in Base TenRatios and Proportional

RelationshipsNumber & Quantity

Number and Operations – Fractions

The Number System

Operations and Algebraic Thinking

Expressions and Equations Algebra

Functions Functions

Geometry Geometry

Measurement and Data Statistics and ProbabilityStatistics & Probability

Shift #2: Coherence: Think Across Grades, and Link to Major Topics Within

Grades

• Carefully connect the learning within and across grades so that students can build new understanding on foundations built in previous years.

• Begin to count on solid conceptual understanding of core content and build on it. Each standard is not a new event, but an extension of previous learning.

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Progression Documents

These documents support the Common Core Standards by describing how essential mathematical concepts develop across the grades. They outline a coherent development of mathematical ideas.

http://ime.math.arizona.edu/progressions

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Mathematics: 3 Shifts

1. Focus: Focus strongly where the standards focus.

2. Coherence: Think across grades, and link to major topics

3. Rigor: In major topics, pursue conceptual understanding, procedural skill and fluency, and application

Shift #3: Rigor: Balance Three Elements

• The CCSSM require a balance of: Solid conceptual understanding Procedural skill and fluency Application of skills in problem solving

situations

• Pursuit of all three requires equal intensity in time, activities, and resources

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3 Elements of Rigor

Conceptual Understanding – Seeing relationships among ideas and knowing why a mathematical process makes sense.

Procedural Understanding – Emphasizes memorization and following specific steps.

Application – Using mathematical processes to solve meaningful problems.

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Required Fluencies in K-6

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Grade Standard Required FluencyK K.OA.5 Add/subtract within 5

1 1.OA.6 Add/subtract within 10

2 2.OA.22.NBT.5

Add/subtract within 20 (know single-digit sums from memory)Add/subtract within 100

3 3.OA.73.NBT.2

Multiply/divide within 100 (know single-digit products from memory)Add/subtract within 1000

4 4.NBT.4 Add/subtract within 1,000,000

5 5.NBT.5 Multi-digit multiplication

6 6.NS.2,3 Multi-digit divisionMulti-digit decimal operations

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Two Aspects of the Common Core Standards

• Content Standards

• Mathematical Practices

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Mathematical Practices1. Make sense of problems and persevere in

solving them.2. Reason abstractly and quantitatively.3. Construct viable arguments and critique the

reasoning of others.4. Model with mathematics.5. Use appropriate tools strategically. 6. Attend to precision.7. Look for and make use of structure.8. Look for and express regularity in repeated

reasoning.

Mathematical Practices inKid Friendly Language

1. I can solve problems without giving up.2. I can think about numbers in many ways.3. I can explain my thinking and try to understand others’.4. I can show my work in many ways.5. I can use math tools and tell why I chose them.6. I can work carefully and check my work.7. I can use what I know to solve new problems.8. I can solve problems by looking for rules and patterns.

Martha’s Carpeting Task

Martha was re-carpeting her bedroom, which was 15 feet long and 10 feet wide. How many square feet of carpeting will she need to purchase?

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CARPETING TASK

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Area

Length

W i d t h

Fencing Task

Ms. Brown’s class will raise rabbits for their spring science fair. They have 24 feet of fencing with which to build a rectangular rabbit pen to keep the rabbits.

• If Ms. Brown’s students want their rabbits to have as much room as possible, how long would each of the sides of the pen be?

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CARPETING TASK

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Area

Circumference

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FENCING TASK

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2(1) + 2(11) = 24A = 11 sq units

2(2) + 2(10) = 24A = 20 sq units

2(4) + 2(8) = 24A = 32 sq units

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FENCING TASK

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2(6) + 2(6) = 24A = 36 sq units

4(4) = 16A = 16 sq units

Fencing Task

Ms. Brown’s class will raise rabbits for their spring science fair. They have 24 feet of fencing with which to build a rectangular rabbit pen to keep the rabbits.

• If Ms. Brown’s students want their rabbits to have as much room as possible, how long would each of the sides of the pen be?

• How long would each of the sides of the pen be if they had only 16 feet of fencing?

• How would you go about determining the pen with the most room for any amount of fencing? Organize your work so that someone else who reads it will understand.

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What does Common Core look like in classrooms?

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10-Frames• For counting• Number relationships• Addition to 10• Place value

• http://www.youtube.com/watch?v=p6RaMGDPfJg

Number Talks

• Number Talks: Helping Children Build Mental Math and Computation Strategies Grades K-5

• Author Sherry Parrish• Grade K• Grade 2• Grade 3• Grade 5• South Shades Crest Elementary School, Hoover,

Alabama

Resources

Google: isbe parent resources orIllinois Common Core Resource Pagewww.isbe.net/common_core/htmls/resources.htm Choose: Parent ResourcesMost helpful:

Common Core Standards OverviewFrequently Asked Questions

My website: www.mathgarden.weebly.com