The Common Core Mathematics Companion: The Standards Decoded, Grades 6-8

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. After teaching mathematics in grades K-8 for 20 years, Lois served as the middle school mathematics specialist for the Virginia Department of Education. Here she worked on curriculum and teacher professional learning. She served the Virginia Council of Teachers of Mathematics and was a board member for the local Jefferson Council of Teachers of Mathematics. After receiving her doctorate in curriculum and instruction at The University of Virginia, she began serving as adjunct faculty to Mary Baldwin College and is in her 15th year working with pre-service teachers. Currently Lois is an International Fellow with the Charles A. Dana Center working with classroom teachers in the Department of Defense Schools helping them implement their College and Career Readiness Standards. Among her recognitions are a Fulbright Teacher Exchange and Virginia Middle School Mathematics Teacher of the Year.

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