Table Of Contents:

• Indexes Cross-Referencing Your State Standards
• Quick Reference Guide
• Acknowledgments
• Letter to Grades 6–8 Teachers
• Letter to Middle School Principals
• Introduction
• A Brief History of Current State Standards
• College and Career Ready Standards for Mathematics
• Instructional Shifts
• Terminology Used in This Book
• Effective Teaching Practices
• How to Use This Book
• Reflection Questions
• Part 1. Ratios and Proportional Relationships
• Domain Overview
• Suggested Materials for This Domain
• Key Vocabulary
• Grade 6
• Cluster A: Understand ratio concepts and use ratio reasoning to solve problems.
• Sample Planning Page: Ratios and Proportional Relationships, Grade 6, Cluster A
• Planning Page
• Grade 7
• Cluster A: Analyze proportional relationships and use them to solve real-world and mathematical problems.
• Sample Planning Page: Ratios and Proportional Relationships, Grade 7, Cluster A
• Planning Page
• Reflection Questions: Ratios and Proportional Relationships
• Part 2. The Number System
• Domain Overview
• Suggested Materials for This Domain
• Key Vocabulary
• Grade 6
• Cluster A: Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
• Cluster B: Compute fluently with multi-digit numbers and find common factors and multiples.
• Cluster C: Apply and extend previous understandings of numbers to the system of rational numbers.
• Sample Planning Page: The Number System, Grade 6, Cluster C
• Planning Pages
• Grade 7
• Cluster A: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
• Sample Planning Page: The Number System, Grade 7, Cluster A
• Planning Page
• Grade 8
• Cluster A: Know that there are numbers that are not rational, and approximate them by rational numbers.
• Sample Planning Page: The Number System, Grade 8, Cluster A
• Planning Page
• Reflection Questions: The Number System
• Part 3. Expressions and Equations
• Domain Overview
• Suggested Materials for This Domain
• Key Vocabulary
• Grade 6
• Cluster A: Apply and extend previous understandings of arithmetic to algebraic expressions.
• Cluster B: Reason about and solve one-variable equations and inequalities.
• Cluster C: Represent and analyze quantitative relationships between dependent and independent variables.
• Sample Planning Page: Expressions and Equations, Grade 6, Cluster C
• Planning Pages
• Grade 7
• Cluster A: Use properties of operations to generate equivalent expressions.
• Cluster B: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
• Sample Planning Page: Expressions and Equations, Grade 7, Cluster A
• Planning Pages
• Grade 8
• Cluster A: Work with radicals and integer exponents.
• Cluster B: Understand the connections between proportional relationships, lines, and linear equations.
• Cluster C: Analyze and solve linear equations and pairs of simultaneous linear equations.
• Sample Planning Page: Expressions and Equations, Grade 8, Cluster A
• Planning Pages
• Reflection Questions: Expressions and Equations
• Part 4. Functions
• Domain Overview
• Suggested Materials for This Domain
• Key Vocabulary
• Grade 8
• Cluster A: Define, evaluate, and compare functions.
• Cluster B: Use functions to model relationships between quantities.
• Sample Planning Page: Functions, Grade 8, Cluster A
• Planning Pages
• Reflection Questions: Functions
• Part 5. Geometry
• Domain Overview
• Suggested Materials for This Domain
• Key Vocabulary
• Grade 6
• Cluster A: Solve real-world and mathematical problems involving area, surface area, and volume.
• Sample Planning Page: Geometry, Grade 6, Cluster A
• Planning Page
• Grade 7
• Cluster A: Draw, construct, and describe geometrical figures and describe the relationships between them.
• Cluster B: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
• Sample Planning Page: Geometry, Grade 7, Cluster B
• Planning Pages
• Grade 8
• Cluster A: Understand congruence and similarity using physical models, transparencies, or geometry software.
• Cluster B: Understand and apply the Pythagorean Theorem.
• Cluster C: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
• Sample Planning Page: Geometry, Grade 8, Cluster A
• Planning Pages
• Reflection Questions: Geometry
• Part 6. Statistics and Probability
• Domain Overview
• Suggested Materials for This Domain
• Key Vocabulary
• Grade 6
• Cluster A: Develop understanding of statistical variability.
• Cluster B: Summarize and describe distributions.
• Sample Planning Page: Statistics and Probability, Grade 6, Cluster B
• Planning Pages
• Grade 7
• Cluster A: Use random sampling to draw inferences about a population.
• Cluster B: Draw informal comparative inferences about two populations.
• Cluster C: Investigate chance processes and develop, use, and evaluate probability models.
• Sample Planning Page: Statistics and Probability, Grade 7, Cluster C
• Planning Pages
• Grade 8
• Cluster A: Investigate patterns of association in bivariate data.
• Sample Planning Page: Statistics and Probability, Grade 8, Cluster A
• Planning Page
• Reflection Questions: Statistics and Probability
• Resources
• Table 1. Standards for Mathematical Practice
• Table 2. Effective Teaching Practices
• Reproducibles
• Reproducible 1. Percent Wheel
• Reproducible 2. Frayer Model
• Reproducible 3. Net of a Cube
• Reproducible 4. Example for MAD (Mean Absolute Deviation)
• Additional Resources
• About the Authors