Common Core Mathematics in a PLC at Work, Grades 6-8

Common Core Mathematics in a PLC at Work, Grades 6-8


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Common Core Mathematics in a PLC at Work, Grades 6-8 by Diane J. Briars, David Foster, Mardi A. Gale, Austin Buffum

This teacher guide illustrates how to sustain successful implementation of the Common Core State Standards for mathematics, grades 6–8. Discover what students should learn and how they should learn it at each grade level. Comprehensive research-affirmed analysis tools and strategies will help you and your collaborative team develop and assess student demonstrations of deep conceptual understanding and procedural fluency.

Product Details

ISBN-13: 9781936764105
Publisher: Solution Tree Press
Publication date: 08/01/2012
Pages: 248
Sales rank: 1,239,445
Product dimensions: 6.90(w) x 9.90(h) x 0.70(d)

Table of Contents

About the Series Editor ix

About the Authors xi

Foreword xv

Introduction 1

Chapter 1 Using High-Performing Collaborative Teams for Mathematics 7

Professional Development Paradigm Shift 8

Teacher Collaboration in a Professional Learning Community 10

Teacher Collaboration Versus Cooperation or Coordination 11

Collaborative Practices 14

The High-Leverage Work of Mathematics Collaborative Teams in a PLC 20

Looking Ahead 24

Chapter 1 Extending My Understanding 25

Chapter 2 Implementing the Common Core Standards for Mathematical Practice 29

The Common Core Standards for Mathematical Practice 31

Overarching Habits of Mind 32

Reasoning and Explaining 40

Modeling and Using Tools 46

Seeing Structure and Generalizing 54

Lesson-Design Elements That Reflect the Common Core Mathematical Practices 58

The Mathematical Practices Lesson-Design Tool 68

Looking Ahead 70

Chapter 2 Extending My Understanding 71

Chapter 3 Implementing the Common Core Mathematics Content in Your Curriculum 75

Common Core Overview 75

Content Domain Analysis 79

The Number System Domain for Grades 6, 7, and 8 - (6.NS, 7.NS, 8.NS) 86

Ratios and Proportional Relationships (6.RP and 7.RP) and Functions (8.F) Domains 92

Functions Domain in Grade 8 (8.F) 96

Expressions and Equations Domain (6.EE, ZEE, 8.EE) 99

Geometry Domain (6.G, 7.G, 8.G) 103

Statistics and Probability (6.SP, 7.SP, 8.SP) 107

Collaborative Actions to Implement the CCSS Content Standards 115

Advanced Learners and Acceleration 122

Looking Ahead 124

Chapter 3 Extending My Understanding 124

Chapter 4 Implementing the Teaching-Assessing-Learning Cycle 127

A Paradigm Shift in Middle School Mathematics Assessment Practices 127

The PLC Teaching-Assessing-Learning Cycle 130

Using Re-Engagement Lessons in the Teaching-Assessing-Learning Cycle 145

Your Focus on Large-Scale Assessment Data 151

Looking Ahead 152

Chapter 4 Extending My Understanding 152

Chapter 5 Implementing Required Response to Intervention 155

Vision of Equity 155

Sources That Inform Equity in Mathematics 157

Student Learning Needs for Success 159

A Major Paradigm Shift in Middle School Mathematics Intervention Practices 163

Tier 1: What Is Your Differentiated Response to Learning? 171

Tier 2: What Is Your Targeted Response to Learning? 173

Tier 3: What Is Your Intensive Response to Learning? 174

English Learners 175

Looking Ahead 176

Chapter 5 Extending My Understanding 177

Epilogue: Your Mathematics Professional Development Model 179

Appendix A Standards for Mathematical Practice 181

Connecting the Standards for Mathematical Practice to the Standards for Mathematical Content 184

Appendix B Standards for Mathematical Content, Grade 6 185

Grade 6 Overview 186

Appendix C Standards for Mathematical Content, Grade 7 193

Grade 7 Overview 194

Appendix D Standards for Mathematical Content, Grade 8 201

Grade 8 Overview 202

References and Resources 207

Index 219

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