| Operations on Whole Numbers | |
| The Decimal Place-Value System | |
| Addition | |
| Subtraction | |
| Rounding, Estimation, and Order | |
| Multiplication | |
| Division | |
| Exponential Notation and the Order of Operations | |
| Solving Geometric Applications | |
| Multiplying and Dividing Fractions | |
| Prime Numbers and Divisibility | |
| Factoring Whole Numbers | |
| Fraction Basics | |
| Simplifying Fractions | |
| Multiplying Fractions | |
| Applications of Multiplication of Fractions | |
| Dividing Fractions | |
| Computer-Related Applications: Time | |
| Adding and Subtracting Fractions | |
| Adding and Subtracting Fractions with Like Denominators | |
| Common Multiples | |
| Adding and Subtracting Fractions with Unlike Denominators | |
| Adding and Subtracting Mixed Numbers | |
| Estimation Applications | |
| Decimals | |
| Place Value and Rounding | |
| Adding and Subtracting Decimals | |
| Multiplying Decimals | |
| Area and Circumference | |
| Dividing Decimals | |
| Converting from Fractions to Decimals | |
| Converting from Decimals to Fractions | |
| Ratios and Proportions | |
| Ratios | |
| Rates and Unit Pricing | |
| Proportions | |
| Solving Proportions | |
| Solving Applications of Proportions | |
| Percents | |
| Changing a Percent to a Fraction or a Decimal | |
| Changing a Decimal or Fraction to a Percent | |
| Identifying Rate, Base, and Amount | |
| Three Types of Percent Problems | |
| Solving Percent Applications | |
| Geometry and Measure | |
| The Units of the English System | |
| Metric Units of Length | |
| Metric Units of Weight and Volume | |
| Converting Between the English and Metric Systems | |
| Lines and Angles | |
| Triangles | |
| Square Roots and the Pythagorean Theorem | |
| Data Analysis and Statistics | |
| Means, Medians, and Modes | |
| Tables, Pictographs, and Bar Graphs | |
| Line Graphs and Predictions | |
| Creating Bar Graphs and Pie Charts | |
| Describing and Summarizing Data Sets | |
| The Real Number System | |
| Real Numbers and Order | |
| Adding Real Numbers | |
| Subtracting Real Signed Numbers | |
| Multiplying Real Numbers | |
| Dividing Real Numbers | |
| An Introduction to Algebra | |
| From Arithmetic to Algebra | |
| Evaluating Algebraic Expressions | |
| Adding and Subtracting Algebraic Expressions | |
| Using the Addition Rule to Solve an Equation | |
| Using the Multiplication Rule to Solve an Equation | |
| Combining the Rules to Solve Equations | |
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