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

Overview

The Common Core State Standards for mathematics improve on current state standards and provide a consistent framework for teaching and learning practices. They define the knowledge and skills necessary to develop mathematical proficiency and succeed at all levels of education. Common Core Mathematics in a PLC at Work™, Grades 6-8 guides middle school teachers in breaking away from past practices and collaboratively embracing five essential paradigms (collaboration, instruction, content, assessment, and ...

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

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Overview

The Common Core State Standards for mathematics improve on current state standards and provide a consistent framework for teaching and learning practices. They define the knowledge and skills necessary to develop mathematical proficiency and succeed at all levels of education. Common Core Mathematics in a PLC at Work™, Grades 6-8 guides middle school teachers in breaking away from past practices and collaboratively embracing five essential paradigms (collaboration, instruction, content, assessment, and intervention) to successfully implement the CCSS for mathematics.

This comprehensive resource for 6-8 teachers offers:

Straightforward descriptions of the five essential paradigms

Practical guidance for forming and sustaining collaborative teams in a PLC culture

Dozens of tools, resources, activities, examples, and reproducibles to help teams analyze and interpret the standards

Thorough appendices including the Standards for Mathematical Practice and Standards for Mathematical Content

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Product Details

  • ISBN-13: 9781936764105
  • Publisher: Solution Tree
  • Publication date: 8/1/2012
  • Pages: 248
  • Sales rank: 145,614
  • 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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