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The Common Core Mathematics Companion: The Standards Decoded, Grades 6-8
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The Common Core Mathematics Companion: The Standards Decoded, Grades 6-8
What They Say, What They Mean, How to Teach Them

A Joint Publication (Corwin Mathematics logo) (NCTM logo), Mathematics Series Creator: Linda M. Gojak

Additional resources:


March 2016 | 304 pages | Corwin

"The Common Core Mathematics Companion 6-8 offers a practical guide for implementing the CCSS Math Standards. Teachers will appreciate the misconception alerts and ideas for differentiation." 
 Jay McTighe, Author and Consultant

When it comes to math, standards-aligned is achievement-aligned…

In the short time since The Common Core Mathematics Companions, Grades K-2 and 3-5 burst on the scene, they have been lauded as the best resources for making critical math ideas easy to teach. With this brand-new 6-8 volume, middle school math success is at your fingertips. 

Page by page, the authors lay out the pieces to a cutting-edge curriculum, helping you to: 

  • Get the inside scoop on which standards connect, what key vocabulary means, and time-saving tables showing where to focus instruction for each grade 
  • Write curriculum for: ratios and proportional relationships, the number system, expressions and equations, functions, geometry, and statistics & probability
  • Use the What to Teach pages to deliver powerful standards-based lessons 
  • Learn effective techniques to create an environment where all students can experience math break-throughs
  • Incorporate the Standards for Mathematical Practice to improve  students’ ability to problem solve, construct viable arguments, use tools strategically, attend to precision, and more 

The Common Core Mathematics Companion, Grades 6–8 has what every middle school needs to provide students with the foundation for the concepts and skills they will be expected to know in grade 9–12. 

Ruth Harbin Miles is a mathematics coach, with special expertise in developing teachers’ content knowledge and strategies for engaging students to achieve high mathematics standards. A serving member on the Board of Directors for the National Council of Teachers of Mathematics and the National Council of Supervisors of Mathematics, Ruth is a co-author with Linda Gojak of The Common Core Mathematics Companions, K–2 and 3–5 (Corwin). 

Lois Williams, Ed.D., who taught mathematics in grades K–8 for 20 years, is currently an adjunct professor at Mary Baldwin College and an International Fellow with the Charles A. Dana Center, training teachers in the College and Career Readiness Standards She has been honored with a Fulbright Teacher Exchange and the Virginia Middle School Mathematics Teacher of the Year award.


 
Acknowledgments
 
Letter to Grades 6–8 Teachers
 
Letter to Middle School Principals
 
Introduction
 
Part 1. Ratios and Proportional Relationships
Domain Overview

 
Suggested Materials for This Domain

 
Key Vocabulary

 
 
Grade 6
 
Grade 7
 
Part 2. The Number System
Domain Overview

 
Suggested Materials for This Domain

 
Key Vocabulary

 
 
Grade 6
 
Grade 7
 
Grade 8
 
Part 3. Expressions and Equations
Domain Overview

 
Suggested Materials for This Domain

 
Key Vocabulary

 
 
Grade 6
 
Grade 7
 
Grade 8
 
Part 4. Functions
Domain Overview

 
Suggested Materials for This Domain

 
Key Vocabulary

 
 
Grade 8
 
Part 5. Geometry
Domain Overview

 
Suggested Materials for This Domain

 
Key Vocabulary

 
 
Grade 6
 
Grade 7
 
Grade 8
 
Part 6. Statistics and Probability
Domain Overview

 
Suggested Materials for This Domain

 
Key Vocabulary

 
 
Grade 6
 
Grade 7
 
Grade 8
 
Resources

Free resources

Ratios and Proportional Relationships Lesson

Ratios and Proportional Relationships Lesson

Using this lesson from The Common Core Mathematics Companion, 6-8, students analyze proportional relationships and use them to solve real-world and mathematical problems (Secondary).

"The Common Core Mathematics Companion, 6-8 should be readily available for every teacher of mathematics.  It provides a succinct and organized way to bring the theoretical standards down to practical application for enhanced student achievement."

 

Betty Brandenburg, Retired Educator
Department of Defense Schools, Guston, KY

"The Common Core Mathematics Companion 6-8 offers a practical guide for implementing the CCSS Math Standards.
Teachers will appreciate the misconception alerts and ideas for differentiation."

 
Jay McTighe, author and consultant

“The sample lesson-planning section provides a framework that prompts teachers to ask higher-order-thinking questions and ways to differentiate instruction. The sample planning page is also a great resource for administrators to gain an understanding of what mathematics should look and sound like in the classroom. Both the teacher and the administrator can have meaningful conversations about related standards and student learning.”

Teaching Children Mathematics
Key features

Page by page, The Common Core Mathematics Companion, Grades 6-8 clearly lay out:

  • 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

Purchasing options

For large school/district orders, volume discounts, availability and shipping times contact customer service at 800-233-9936
or order@corwin.com.

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ISBN: 9781506332192
$39.95

For large school/district orders, volume discounts, availability and shipping times contact customer service at 800-233-9936
or order@corwin.com.

For instructors

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