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

What They Say, What They Mean, How to Teach Them
Frederick L. Dillon - Ideastream, Cleveland Area Public Broadcasting System
W. Gary Martin - Auburn University, Alabama
Basil M. Conway - Columbus State University, Columbus, GA
Marilyn E. Strutchens - Auburn University, Alabama
The Common Core Mathematics Companion: The Standards Decoded, High School
September 2017 | 504 pages | Corwin
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ISBN: 9781506395630
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ISBN: 9781506332260
Available from January 0001

Description

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 .

Contents

Acknowledgments

Acknowledgments

Letter to High School Mathematics Teachers

Letter to High School Mathematics Teachers

Letter to High School Principals

Letter to High School Principals

Introduction

  • 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)

Resources

Resources

Reproducibles

Reproducibles

Additional Resources

Additional Resources

About the Authors

About the Authors

Description

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 .

Contents

Acknowledgments

Acknowledgments

Letter to High School Mathematics Teachers

Letter to High School Mathematics Teachers

Letter to High School Principals

Letter to High School Principals

Introduction

  • 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)

Resources

Resources

Reproducibles

Reproducibles

Additional Resources

Additional Resources

About the Authors

About the Authors

SAGE Publishing Logo

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

What They Say, What They Mean, How to Teach Them


September 2017 | 504 pages | Corwin

Format Published Date ISBN Price
Spiral 01/02/2026 9781506332260 $43.95
Lifetime 01/02/2026 9781506395630 $40.00

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 .


Table Of Contents:

  • Acknowledgments
  • Letter to High School Mathematics Teachers
  • Letter to High School Principals
  • Introduction
  • 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)
  • Resources
  • Reproducibles
  • Additional Resources
  • About the Authors

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