Linda M. Gojak, Ruth Harbin Miles

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

What They Say, What They Mean, How to Teach Them

• Broschiertes Buch

Produktbeschreibung

Modelled after Jim Burkeà â â s successful Common Core Companion Series, this book includes a clear explanation of the mathematics within each domain, cluster, and standard and suggested grade level appropriate visual models and representations.

Produktdetails

• Corwin Mathematics Series
• Verlag: SAGE Publications Inc
• Seitenzahl: 320
• Erscheinungstermin: 20. August 2015
• Englisch
• Abmessung: 287mm x 232mm x 28mm
• Gewicht: 860g
• ISBN-13: 9781483381602
• ISBN-10: 1483381609
• Artikelnr.: 42408729

Autorenporträt

Winner of the Presidential Award for Excellence in Science and Mathematics Teaching, Linda M. Gojak directed the Center for Mathematics and Science Education, Teaching, and Technology (CMSETT) at John Carroll University for 16 years. She has spent 28 years teaching elementary and middle school mathematics, and has served as the president of the National Council of Teachers of Mathematics (NCTM), the National Council of Supervisors of Mathematics (NCSM), and the Ohio Council of Teachers of Mathematics.

Inhaltsangabe

Acknowledgments
Letter to Grades 3-5 Teachers
Letter to Elementary School Principals
Introduction
A Brief History of the Common Core
The Common Core State Standards for Mathematics
Instructional Shifts
Major Work of Grades 3¬-5
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
Grade 3
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
Grade 4
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
Grade 5
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
Grade 3
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
Grade 4
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
Grade 5
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
Grade 3
Cluster A: Develop understanding of fractions as numbers.
Sample Planning Page: Number and Operations-Fractions, Grade 3, Cluster A
Planning Page
Grade 4
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
Grade 5
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
Grade 3
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
Grade 4
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
Grade 5
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
Grade 3
Cluster A: Reason with shapes and their attributes.
Sample Planning Page: Geometry, Grade 3, Cluster A
Planning Page
Grade 4
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
Grade 5
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 1: Addition and Subtraction Situations, Grades 3-5
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
Additional Resources
About the Authors