| 1 | Numbers | 5 |
| 1.1 | Numbers: The Basics | 6 |
| 1.2 | Reading and Writing Numbers | 9 |
| 1.3 | Prime and Composite Numbers | 11 |
| 1.4 | Powers and Roots | 13 |
| 1.5 | Multiples and Factors | 15 |
| 1.6 | Properties of Operations | 18 |
| 1.7 | Order of Operations | 21 |
| 1.8 | Using Estimation | 23 |
| |
| 2 | Fractions | 27 |
| 2.1 | Fractions: The Basics | 28 |
| 2.2 | Equivalent Fractions and Comparing Fractions | 31 |
| 2.3 | Adding and Subtracting Fractions and Mixed Numbers | 34 |
| 2.4 | Multiplying Fractions and Mixed Numbers | 39 |
| 2.5 | Dividing Fractions and Mixed Numbers | 42 |
| 2.6 | Estimating with Fractions | 45 |
| |
| 3 | Decimals | 49 |
| 3.1 | Decimals: The Basics | 50 |
| 3.2 | Decimals and Fractions | 54 |
| 3.3 | Adding and Subtracting Decimals | 58 |
| 3.4 | Multiplying Decimals | 61 |
| 3.5 | Dividing Decimals | 64 |
| 3.6 | Estimating with Decimals | 66 |
| |
| 4 | Ratio and Proportion | 69 |
| 4.1 | Ratios and Rates: The Basics | 70 |
| 4.2 | Understanding Proportion | 73 |
| 4.3 | Using Proportions to Solve Problems | 75 |
| |
| 5 | Percents | 77 |
| 5.1 | Percents: The Basics | 78 |
| 5.2 | Percent of a Number | 81 |
| 5.3 | Percents and Mental Math | 83 |
| 5.4 | Finding What Percent One Number Is of Another | 85 |
| 5.5 | Finding the Whole Given a Percent and a Part | 87 |
| 5.6 | Discounts and Sales Tax | 89 |
| |
| 6 | Problem-Solving Strategies | 91 |
| 6.1 | Guess and Test | 92 |
| 6.2 | Make a Diagram | 93 |
| 6.3 | Make a List or Table | 94 |
| 6.4 | Look for a Pattern | 95 |
| 6.5 | Work Backward | 96 |