Common Core Mathematics in a Plc at Work: Grades 6-8

by Briars, Diane J.; Asturias, Harold; Foster, David; Gale, Mardi A.; Buffum, Austin

• ISBN13: 9781936764105
• ISBN10: 1936764105
• Format: Paperback
• Copyright: 2012-08-01
• Publisher: Solution Tree

Summary

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.

Table of Contents

About the Series Editor	p. ix
About the Authors	p. xi
Foreword	p. xv
Introduction	p. 1
Using High-Performing Collaborative Teams for Mathematics	p. 7
Professional Development Paradigm Shift	p. 8
Teacher Collaboration in a Professional Learning Community	p. 10
Teacher Collaboration Versus Cooperation or Coordination	p. 11
Collaborative Practices	p. 14
The High-Leverage Work of Mathematics Collaborative Teams in a PLC	p. 20
Looking Ahead	p. 24
Chapter 1 Extending My Understanding	p. 25
Implementing the Common Core Standards for Mathematical Practice	p. 29
The Common Core Standards for Mathematical Practice	p. 31
Overarching Habits of Mind	p. 32
Reasoning and Explaining	p. 40
Modeling and Using Tools	p. 46
Seeing Structure and Generalizing	p. 54
Lesson-Design Elements That Reflect the Common Core Mathematical Practices	p. 58
The Mathematical Practices Lesson-Design Tool	p. 68
Looking Ahead	p. 70
Chapter 2 Extending My Understanding	p. 71
Implementing the Common Core Mathematics Content in Your Curriculum	p. 75
Common Core Overview	p. 75
Content Domain Analysis	p. 79
The Number System Domain for Grades 6, 7, and 8 - (6.NS, 7.NS, 8.NS)	p. 86
Ratios and Proportional Relationships (6.RP and 7.RP) and Functions (8.F) Domains	p. 92
Functions Domain in Grade 8 (8.F)	p. 96
Expressions and Equations Domain (6.EE, ZEE, 8.EE)	p. 99
Geometry Domain (6.G, 7.G, 8.G)	p. 103
Statistics and Probability (6.SP, 7.SP, 8.SP)	p. 107
Collaborative Actions to Implement the CCSS Content Standards	p. 115
Advanced Learners and Acceleration	p. 122
Looking Ahead	p. 124
Chapter 3 Extending My Understanding	p. 124
Implementing the Teaching-Assessing-Learning Cycle	p. 127
A Paradigm Shift in Middle School Mathematics Assessment Practices	p. 127
The PLC Teaching-Assessing-Learning Cycle	p. 130
Using Re-Engagement Lessons in the Teaching-Assessing-Learning Cycle	p. 145
Your Focus on Large-Scale Assessment Data	p. 151
Looking Ahead	p. 152
Chapter 4 Extending My Understanding	p. 152
Implementing Required Response to Intervention	p. 155
Vision of Equity	p. 155
Sources That Inform Equity in Mathematics	p. 157
Student Learning Needs for Success	p. 159
A Major Paradigm Shift in Middle School Mathematics Intervention Practices	p. 163
Tier 1: What Is Your Differentiated Response to Learning?	p. 171
Tier 2: What Is Your Targeted Response to Learning?	p. 173
Tier 3: What Is Your Intensive Response to Learning?	p. 174
English Learners	p. 175
Looking Ahead	p. 176
Chapter 5 Extending My Understanding	p. 177
Epilogue: Your Mathematics Professional Development Model	p. 179
Standards for Mathematical Practice	p. 181
Connecting the Standards for Mathematical Practice to the Standards for Mathematical Content	p. 184
Standards for Mathematical Content, Grade 6	p. 185
Grade 6 Overview	p. 186
Standards for Mathematical Content, Grade 7	p. 193
Grade 7 Overview	p. 194
Standards for Mathematical Content, Grade 8	p. 201
Grade 8 Overview	p. 202
References and Resources	p. 207
Index	p. 219
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