Linda M. Gojak & Ruth Harbin Miles Your Mathematics Standards Companion, Grades K-2 What They Mean and How to Teach Them

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Transforming the standards into learning outcomes just got a lot easier

In this resource, 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, allowing you to see and understand 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.

€39.99

Table of Content

Indexes Cross-Referencing Your State Standards

Quick Reference Guide

Acknowledgments

Letter to Grades K–2 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. Counting and Cardinality

Domain Overview

Suggested Materials for This Domain

Key Vocabulary

Kindergarten

Cluster A: Know number names and the count sequence.

Cluster B: Count to tell the number of objects.

Cluster C: Compare numbers.

Sample Planning Page: Counting and Cardinality, Kindergarten, Cluster B

Planning Pages

Reflection Questions: Counting and Cardinality

Part 2. Operations and Algebraic Thinking

Domain Overview

Suggested Materials for This Domain

Key Vocabulary

Kindergarten

Cluster A: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Sample Planning Page: Operations and Algebraic Thinking, Kindergarten, Cluster A

Planning Page

Grade 1

Cluster A: Represent and solve problems involving addition and subtraction.

Cluster B: Understand and apply properties of operations and the relationship between addition and subtraction.

Cluster C: Add and subtract within 20.

Cluster D: Work with addition and subtraction equations.

Sample Planning Page: Operations and Algebraic Thinking, Grade 1, Cluster C

Planning Pages

Grade 2

Cluster A: Represent and solve problems involving addition and subtraction.

Cluster B: Add and subtract within 20.

Cluster C: Work with equal groups of objects to gain foundations for multiplication.

Sample Planning Page: Operations and Algebraic Thinking, Grade 2, Cluster A

Planning Pages

Reflection Questions: Operations and Algebraic Thinking

Part 3. Number and Operations in Base Ten

Domain Overview

Suggested Materials for This Domain

Key Vocabulary

Kindergarten

Cluster A: Work with numbers 11–19 to gain foundation for place value.

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

Planning Page

Grade 1

Cluster A: Extend the counting sequence.

Cluster B: Understand place value.

Cluster C: Use place value understanding and properties of operations to add and subtract.

Sample Planning Page: Number and Operations in Base Ten, Grade 1, Cluster C

Planning Pages

Grade 2

Cluster A: Understand place value.

Cluster B: Use place value understanding and properties of operations to add and subtract.

Sample Planning Page: Number and Operations in Base Ten, Grade 2, Cluster B

Planning Pages

Reflection Questions: Number and Operations in Base Ten

Part 4. Measurement and Data

Domain Overview

Suggested Materials for This Domain

Key Vocabulary

Kindergarten

Cluster A: Describe and compare measurable attributes.

Cluster B: Classify objects and count the number of objects in each category.

Sample Planning Page: Measurement and Data, Kindergarten, Cluster A

Planning Pages

Grade 1

Cluster A: Measure lengths indirectly and by iterating length units.

Cluster B: Tell and write time.

Cluster C: Represent and interpret data.

Sample Planning Page: Measurement and Data, Grade 1, Cluster C

Planning Pages

Grade 2

Cluster A: Measure and estimate lengths in standard units.

Cluster B: Relate addition and subtraction to length.

Cluster C: Work with time and money.

Cluster D: Represent and interpret data.

Sample Planning Page: Measurement and Data, Grade 2, Cluster D

Planning Pages

Reflection Questions: Measurement and Data

Part 5. Geometry

Domain Overview

Suggested Materials for This Domain

Key Vocabulary

Kindergarten

Cluster A: Identify and describe shapes.

Cluster B: Analyze, compare, create, and compose shapes.

Sample Planning Page: Geometry, Kindergarten, Cluster A

Planning Pages

Grade 1

Cluster A: Reason with shapes and their attributes.

Sample Planning Page: Geometry, Grade 1, Cluster A

Planning Page

Grade 2

Cluster A: Reason with shapes and their attributes.

Sample Planning Page: Geometry, Grade 2, Cluster A

Planning Page

Reflection Questions: Geometry

Resources

Table 1. Addition and Subtraction Situations

Table 2. Addition and Subtraction Fact Strategies

Table 3. Scaffolding Addition and Subtraction

Table 4. Sample Addition and Subtraction Strategies

Table 5. Standards for Mathematical Practice

Table 6. Effective Teaching Practices

Reproducibles

Reproducible 1. Five Frame

Reproducible 2. Ten Frame

Reproducible 3. Double Ten Frame

Reproducible 4. Hundreds Chart

Reproducible 5. Dot Cards

Reproducible 6. Numeral Cards

Reproducible 7. Number Line to 20

Reproducible 8. Open Number Line

Reproducible 9. Part-Part-Whole Chart

Reproducible 10. Place Value Chart (Tens/Ones)

Reproducible 11. Place Value Chart (Hundreds/Tens/Ones)

Reproducible 12. Comparison Cards

Additional Resources

About the Authors

About the author

Ruth Harbin Miles coaches rural, suburban, and inner-city school mathematics teachers. Her professional experiences include coordinating the K-12 Mathematics Teaching and Learning Program for the Olathe, Kansas, Public Schools for more than 25 years; teaching mathematics methods courses at Virginia’s Mary Baldwin College; and serving on the Board of Directors for the National Council of Teachers of Mathematics, the National Council of Supervisors of Mathematic, and both the Virginia Council of Teachers of Mathematics and the Kansas Association of Teachers of Mathematics. Ruth is a co-author of five Corwin books including A Guide to Mathematics Coaching, A Guide to Mathematics Leadership, Visible Thinking in the K-8 Mathematics Classroom, The Common Core Mathematics Standards, and Realizing Rigor in the Mathematics Classroom. As co-owner of Happy Mountain Learning, Ruth specializes in developing teachers’ content knowledge and strategies for engaging students to achieve high standards in mathematics.

Language English ● Format PDF ● Pages 288 ● ISBN 9781544302348 ● File size 33.3 MB ● Publisher SAGE Publications ● City Thousand Oaks ● Country US ● Published 2017 ● Edition 1 ● Downloadable 24 months ● Currency EUR ● ID 5526453 ● Copy protection Adobe DRM

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