Your Mathematics Standards Companion, Grades 3-5: What They Mean and How to Teach Them de Linda M. Gojak

Your Mathematics Standards Companion, Grades 3-5: What They Mean and How to Teach Them: Corwin Mathematics Series

en Limba Engleză Spirală – 24 aug 2017

This expansion of the popular Common Core Mathematics Companions provides indexes for states implementing state-specific mathematics standards and shows which are the same as CCSS-M, which differ and how.

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Specificații

ISBN-13: 9781506382241
ISBN-10: 150638224X
Pagini: 360
Dimensiuni: 216 x 279 x 29 mm
Greutate: 0.84 kg
Ediția:1
Editura: SAGE Publications
Colecția Corwin
Seria Corwin Mathematics Series

Locul publicării:Thousand Oaks, United States

Cuprins

Indexes Cross-Referencing Your State Standards
Quick Reference Guide
Acknowledgments
Letter to Grades 3–5 Teachers
Letter to Elementary School Principals
Introduction
A Brief History of Current State Standards
College and Career Ready Standards for Mathematics
Instructional Shifts
Terminology Used in This Book
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
Reproducibles
Reproducible 1. Hundreds Chart
Reproducible 2. Place Value Chart to Hundreds
Reproducible 3. Grid Paper
Reproducible 4. Base-Ten Blocks
Reproducible 5. Fraction Area Models (Circular)
Reproducible 6. Fraction Area Models (Rectangular)
Reproducible 7. Fraction Strips/Bars
Reproducible 8. Place Value Chart
Reproducible 9. Geoboard Paper
Reproducible 10. Dot Paper (Centimeter)
Reproducible 11. Pattern Blocks
Reproducible 12. Tangram Pattern
Additional Resources
About the Authors

Notă biografică

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.

Descriere

Transforming the standards into learning outcomes just got a lot easier

In this expansion of the original popular Common Core Mathematics Companions, you can see in an instant how teaching to your state standards should look and sound in the classroom. Under the premise that math is math, the authors provide a Cross-Referencing Index for states implementing their own specific mathematics standards, showing which of your standards are the same as CCSS-M, which differ and how—and which page number to turn to for standards-based teaching ideas.

It’s all here, page by page:

The mathematics embedded in each standard for a deeper understanding of the content
Examples of what effective teaching and learning look like in the classroom
Connected standards within each domain so teachers can better appreciate how they relate
Priorities within clusters so teachers know where to focus their time
The three components of rigor: conceptual understanding, procedural skills, and applications
Vocabulary and suggested materials for each grade-level band with explicit connections to the standards
Common student misconceptions around key mathematical ideas with ways to address them
Sample lesson plans and lesson planning templates
Cross-referenced index listing the standards in the following states, explaining what is unique to the standards of each state

Your Mathematics Standards Companion is your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.

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