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The Common Core Mathematics Companion: The Standards Decoded, High School

The Common Core Mathematics Companion: The Standards Decoded, High School
What They Say, What They Mean, How to Teach Them

Series Creator: Jim Burke, Mathematics Series Creator: Linda M. Gojak, NCTM Stock Number 15557

Additional resources:

504 pages | Corwin

Your User’s Guide to the Mathematics Standards

When it comes to mathematics, standards aligned is achievement aligned…

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

Page by page, the authors lay out the pieces of an in-depth explanation, including

  • The mathematical progression of each conceptual category, starting with modeling as a unifying theme, and moving through number & quantity, algebra, functions, geometry, and statistics and probability, building from the 8th grade standards
  • The mathematics embedded in each conceptual category for a deeper understanding of the content
  • How standards connect within and across domains, and to previous grade standards, so teachers can better appreciate how they relate
  • How standards connect with the standards for mathematical practice, with a focus on modeling as a unifying theme
  • Example tasks, progressions of tasks, and descriptions of what teachers and students should be doing to foster deep learning

The Common Core Mathematics Companion: The Standards Decoded,  High School has what every high school teacher needs to provide students with the foundation for the concepts and skills they will be expected to know .

Letter to High School Mathematics Teachers
Letter to High School Principals
A Brief History of the Common Core

The Common Core State Standards for Mathematics

Instructional Shifts

Major Work of High School

Common Core Word Wall

The Common Core Standards for Mathematical Practice

Effective Teaching Practices

How to Use This Book

Reflection Questions

1. Modeling
Conceptual Category Overview

Sample Unit Planning Page

Reflection Questions: Modeling

2. Number and Quantity
Conceptual Category Overview

Suggested Materials

Number and Quantity - Overarching Key Vocabulary

Domain: The Real Number System (N.RN)

Domain: Quantities (N.Q)

Domain: The Complex Number System (N.CN)

Domain: Vector & Matrix Quantities

3. Algebra
Conceptual Category Overview

Suggested Materials

Algebra - Overarching Key Vocabulary

Domain: Seeing Structure in Expressions (A.SSE)

Domain: Arithmetic with Polynomials and Rational Expressions (A.APR)

Domain: Arithmetic Creating Equations (A.CED)

Domain: Reasoning with Equations and Inequalities (A.REI)

4. Functions
Conceptual Category Overview

Suggested Materials

Functions - Overarching Key Vocabulary

Domain: Interpreting Functions (F.IF)

Domain: Building Functions (F.BF)

Domain: Linear, Quadratic, and Exponential Models (F.LE)

Domain: Trigonometric Functions (F.TF)

5. Geometry
Conceptual Category Overview

Suggested Materials

Geometry - Overarching Key Vocabulary

Domain: Congruence (G.CO)

Domain: Similarity, Right Traingles, and Trigonometry (G.SRT)

Domain: Circles (G.C)

Domain: Expressing Geometric Properties with Equations (G.GPE)

Domain: Geometric Measurement and Dimension (G.GMD)

Domain: Modeling with Geometry (G.MG)

6. Statistics and Probability
Conceptual Category Overview

Suggested Materials

Statistics and Probability - Overarching Key Vocabulary

Domain: Interpreting Categorical and Quantitative Data (S.ID)

Domain: Making Inferences and Justifying Conclusions (S.IC)

Domain: Conditional Probability and the Rules of Probability (S.CP)

Domain: Using Probability to make Decisions (S.MD)

Additional Resources
About the Authors


Frederick L. Dillon

Frederick L. Dillon is an author and national mathematics curriculum and professional learning consultant based near Cleveland, Ohio. He is a retired teacher with 35 years of classroom experience, having taught grades 7 through college. Fred is a frequent speaker at national, state, and local conferences and institutes. He is active at the local, state, and national level in professional organizations, including serving on the board of directors for the National Council of Teachers of Mathematics (NCTM). Fred was a recipient of the Presidential Award for Excellence in Science and Mathematics Teaching and the Christopherson-Fawcett Award... More About Author

Wayne Gary Martin

W. Gary Martin is Emily R. and Gerald S. Leischuck Endowed Professor in the Department of Curriculum and Teaching at Auburn University, where he teaches undergraduate and graduate courses in mathematics education and serves as co-director of the Mathematics Teacher Education Partnership (, a national coalition of universities seeking to improve the preparation of secondary mathematics teachers. He has been a writer on multiple standards documents, including Principles and Standards for School Mathematics (National Council of Teachers of Mathematics [NCTM], 2000), Focus in High School Mathematics: Reasoning and... More About Author

Basil Manley Conway IV

Basil Conway IV is an associate professor of mathematics education in the College of Education and Health Professions at Columbus State University and serves as the mathematics education graduate programs director. He serves on numerous doctoral committees as both a chair and methodologist. He earned his BS, MS, and PhD. in mathematics education from Auburn University in 2005, 2012, and 2015, respectively. He also completed his MS in statistical science at Colorado State University in 2010. Basil previously spent 10 years teaching in public middle and high schools before he became a teacher educator. During this time, he also worked... More About Author

Marilyn Elaine Strutchens

Marilyn E. Strutchens is the Emily R. and Gerald S. Leischuck Endowed Professor for Critical Needs and the Mildred Cheshire Fraley Distinguished Professor of Mathematics Education in the Department of Curriculum and Teaching at Auburn University and coordinator of secondary mathematics education. She is also the Director of the Professional Mathematics Learning Communities Project between TEAM-Math and the Alabama Mathematics, Science, and Technology Initiative. She teaches courses in mathematics education. Strutchens is a member of the Board of Directors for the National Council of Teachers of Mathematics and serves on the... More About Author

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