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

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 from OCTM for Lifetime Contributions to Mathematics Education.

When it comes to math, standards-aligned is achievement-aligned…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 math ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips.The authors lay out the pieces of an in-depth explanation, showing the mathematical progression of each conceptual category, how standards connect within and across domains, and what teachers and students should be doing every day to foster deep learning.

AcknowledgmentsLetter to High School Mathematics TeachersLetter to High School PrincipalsIntroduction 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 Questions1. Modeling Conceptual Category Overview Sample Unit Planning Page Reflection Questions: Modeling2. 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 Quantities3. 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)ResourcesReproduciblesAdditional ResourcesAbout the Authors