Pre-Algebra
The foundation for all of middle- and high-school math: arithmetic, integers, fractions, decimals, exponents, ratios, and a first look at algebra and geometry, all from first principles.
1. Foundations of Arithmetic
- Place Value and the Number System
- Properties of Addition and Multiplication
- Order of Operations
- The Distributive Property
2. Integers and the Number Line
- Negative Numbers and the Number Line
- Adding and Subtracting Integers
- Multiplying and Dividing Integers
- Absolute Value
3. Factors and Multiples
Chapter Review A rapid pre-test review (speedrun) Chapter Test Questions from across the chapter Star problems Ten optional challenges Advanced. This problem set goes beyond core Pre-Algebra. You can skip it.4. Fractions
- Understanding Fractions
- Equivalent Fractions and Simplifying
- Adding and Subtracting Fractions
- Multiplying and Dividing Fractions
- Mixed Numbers
5. Decimals
- Decimal Place Value
- Operations with Decimals
- Converting Between Fractions and Decimals
- Rounding and Estimation
6. Exponents and Roots
- Introduction to Exponents
- Laws of Exponents
- Negative and Zero Exponents
- Square Roots
- Scientific Notation
7. Ratios, Rates, and Percents
Chapter Review A rapid pre-test review (speedrun) Chapter Test Questions from across the chapter Star problems Ten optional challenges Advanced. This problem set goes beyond core Pre-Algebra. You can skip it.8. Introduction to Algebra
- Variables and Expressions
- Evaluating and Simplifying Expressions
- Solving One-Step Equations
- Solving Two-Step Equations
- Inequalities
9. Geometry Basics
Chapter Review A rapid pre-test review (speedrun) Chapter Test Questions from across the chapter Star problems Ten optional challenges Advanced. This problem set goes beyond core Pre-Algebra. You can skip it.10. Data, Counting, and Probability
- Mean, Median, Mode, and Range
- Reading Data and Graphs
- Basic Counting Principles
- Introduction to Probability