Mine the Gap for Mathematical Understanding, Grades 6-8

Big Ideas and Tasks at a Glance Acknowledgments About the Authors Introduction Chapter 1. Rich Mathematics Tasks, Student Misconceptions, Using Tasks Prompts With Purpose: Using High-Quality Tasks Using Quality Tasks Reflecting on Chapter 1 Chapter 2. Number Systems Big Ideas 1. Addition and Subtraction of Fractions 2. Multiplication and Division of Fractions 3. Reasoning About Addition and Subtraction of Fractions 4. Reasoning About Multiplication and Division of Fractions 5. Problem Solving With Fractions 6. Decimals as Numbers 7. Addition and Subtraction With Decimals 8. Multiplication and Division With Decimals Chapter 3. Integers Big Ideas 9. Representing Integers 10. Representing Integers on Number Lines 11. More Representing Integers on Number Lines 12. Comparing Integers 13. Addition With Integers 14. Subtraction With Integers 15. Multiplication With Integers 16. Division With Integers Chapter 4. Ratio, Proportion, and Percent Big Ideas 17. Representing Ratios 18. Equivalent Ratios 19. Unit Rates 20. Using Ratios to Solve Problems 21. Reasoning With Percents 22. Unit Rate as Slope Chapter 5. Expressions, Equations, and Functions Big Ideas 23. Writing Expressions 24. Evaluating Expressions 25. Equivalent Expressions 26. Writing Equations 27. Solving Equations 28. Inequalities 29. Function Tables 30. Reasoning About Graphing 31. Comparing Functions 32. Systems of Equations Chapter 6. Geometry Big Ideas 33. Area of Composite Figures 34. Nets and Three-Dimensional Figures 35. Surface Area and Volume 36. Volume of Cylinders and Cones 37. Angle Relationships 38. Transformations, Similarity, and Congruence 39. Distance and Pythagorean Theorem Chapter 7. Statistics Big Ideas 40. Univariate Categorical Data 41. Univariate Quantitative Data 42. Displays of Univariate Quantitative Data 43. Deviations From the Mean 44. Bivariate Categorical Data 45. Bivariate Quantitative Data Chapter 8. What Do We Do Next? References and Additional Resources