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# The Common Core Mathematics Companion: The Standards Decoded, Grades 3-5

What They Say, What They Mean, How to Teach Them
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ISBN-13:
9781483381596
Einband:
WEB PDF
Seiten:
320
Autor:
Linda M. Gojak
eBook Typ:
PDF
eBook Format:
WEB PDF
Kopierschutz:
Sprache:
Englisch
##### Beschreibung:

In the 12 short months since the ELA versions of The Common Core Companions, Grades K-2 and 3-5, burst on the scene, they’ve already assisted tens of thousands of teachers with the day-to-day “what you do.” Teachers’ one big criticism: what about mathematics? Luckily NCTM past-president Linda Gojak and mathematics coach Ruth Harbin Miles stepped up to the task. The result? That version of the mathematics standards you wish you had.
In the 12 short months since the ELA versions of The Common Core Companions, Grades K-2 and 3-5, burst on the scene, they’ve already assisted tens of thousands of teachers with the day-to-day “what you do.” Teachers’ one big criticism: what about mathematics? Luckily NCTM past-president Linda Gojak and mathematics coach Ruth Harbin Miles stepped up to the task. The result? That version of the mathematics standards you wish you had.
Acknowledgments

Letter to Elementary School Principals

Introduction

A Brief History of the Common Core

The Common Core State Standards for Mathematics

Instructional Shifts

Common Core Word Wall

The Common Core Standards for Mathematical Practice

Effective Teaching Practices

How to Use This Book

Reflection Questions

Part 1. Operations and Algebraic Thinking

Domain Overview

Suggested Materials for This Domain

Key Vocabulary

Cluster A: Represent and solve problems involving multiplication and division.

Cluster B: Understand properties of multiplication and the relationship between multiplication and division.

Cluster C: Multiply and divide within 100.

Cluster D: Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Sample Planning Page: Operations and Algebraic Thinking, Grade 3, Cluster A

Planning Pages

Cluster A: Use the four operations with whole numbers to solve problems.

Cluster B: Gain familiarity with factors and multiples.

Cluster C: Generate and analyze patterns.

Sample Planning Page: Operations and Algebraic Thinking, Grade 4, Cluster B

Planning Pages

Cluster A: Write and interpret numerical expressions.

Cluster B: Analyze patterns and relationships.

Sample Planning Page: Operations and Algebraic Thinking, Grade 5, Cluster A

Planning Pages

Reflection Questions: Operations and Algebraic Thinking

Part 2. Number and Operations in Base Ten

Domain Overview

Suggested Materials for This Domain

Key Vocabulary

Cluster A: Use place value understanding and properties of operations to perform multi-digit arithmetic.

Sample Planning Page: Number and Operations in Base Ten, Grade 3, Cluster A

Planning Page

Cluster A: Generalize place value understanding for multi-digit whole numbers.

Cluster B: Use place value understanding and properties of operations to perform multi-digit arithmetic.

Sample Planning Page: Number and Operations in Base Ten, Grade 4, Cluster B

Planning Pages

Cluster A: Understand the place value system.

Cluster B: Perform operations with multi-digit whole numbers and with decimals to hundredths.

Sample Planning Page: Number and Operations in Base Ten, Grade 5, Cluster B

Planning Pages

Reflection Questions: Number and Operations in Base Ten

Part 3. Number and Operations—Fractions

Domain Overview

Suggested Materials for This Domain

Key Vocabulary

Cluster A: Develop understanding of fractions as numbers.

Sample Planning Page: Number and Operations—Fractions, Grade 3, Cluster A

Planning Page

Cluster A: Extend understanding of fraction equivalence and ordering.

Cluster B: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

Cluster C: Understand decimal notation for fractions, and compare decimal fractions.

Sample Planning Page: Number and Operations—Fractions, Grade 4, Cluster C

Planning Pages

Cluster A: Use equivalent fractions as a strategy to add and subtract fractions.

Cluster B: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Sample Planning Page: Number and Operations—Fractions, Grade 5, Cluster A

Planning Pages

Reflection Questions: Number and Operations—Fractions

Part 4. Measurement and Data

Domain Overview

Suggested Materials for This Domain

Key Vocabulary

Cluster A: Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

Cluster B: Represent and interpret data.

Cluster C: Geometric measurement: Understand concepts of area and relate area to multiplication and to addition.

Cluster D: Geometric measurement: Recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Sample Planning Page: Measurement and Data, Grade 3, Cluster A

Planning Pages

Cluster A: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Cluster B: Represent and interpret data.

Cluster C: Geometric measurement: Understand concepts of angle and measure angles.

Sample Planning Page: Measurement and Data, Grade 4, Cluster A

Planning Pages

Cluster A: Convert like measurement units within a given measurement system.

Cluster B: Represent and interpret data.

Cluster C: Geometric measurement: Understand concepts of volume and relate volume to multiplication and to addition.

Sample Planning Page: Measurement and Data, Grade 5, Cluster C

Planning Pages

Reflection Questions: Measurement and Data

Part 5. Geometry

Domain Overview

Suggested Materials for This Domain

Key Vocabulary

Cluster A: Reason with shapes and their attributes.

Sample Planning Page: Geometry, Grade 3, Cluster A

Planning Page

Cluster A: Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Sample Planning Page: Geometry, Grade 4, Cluster A

Planning Page

Cluster A: Graph points on the coordinate plane to solve real world and mathematical problems.

Cluster B: Classify two-dimensional figures into categories based on their properties.

Sample Planning Page: Geometry, Grade 5, Cluster A

Planning Pages

Reflection Questions: Geometry

Resources

Table 2: Multiplication and Division Situations, Grades 3–5

Table 3: Standards for Mathematical Practice

Table 4: Effective Teaching Practices

CCSS Where to Focus Grade 3 Mathematics

CCSS Where to Focus Grade 4 Mathematics

CCSS Where to Focus Grade 5 Mathematics

Reproducibles