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

"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 "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