Mastering High School Mathematics

Algebra: The Complete Series - 4 books

Algebra Book 1: Foundations of Algebra

1. The Language of Algebra: Variables & Expressions

2. Integers, Rational Numbers, and Absolute Value

3. Order of Operations and Evaluating Expressions

4. Properties of Real Numbers and Algebraic Structure

5. Solving One-Step and Multi-Step Equations

6. Formulas and Literal Equations (Solve for a Variable)

7. Applications: Translating Words to Algebra

8. Intro to Inequalities (One Variable)

9. Et cetera

1. The Coordinate Plane and Graphing Basics

2. Rate of Change and Slope

3. Writing Linear Equations (Forms & Conversions)

4. Graphing Lines and Interpreting Graphs

5. Linear Inequalities in One Variable

6. Systems of Linear Equations (Graphing & Substitution)

7. Systems (Elimination) + Special Cases

8. Systems of Inequalities (Shading & Feasible Regions Intro)

9. Linear Modeling and Word Problems

10. Et cetera

1. Polynomial Vocabulary and Operations

2. Special Products and Factoring Fundamentals

3. Factoring Trinomials and Advanced Factoring

4. Quadratic Functions: Forms and Graphs

5. Solving Quadratics by Factoring

6. Completing the Square

7. Quadratic Formula and Discriminant

8. Quadratic Modeling and Applications

9. Et cetera

1. Radicals and Rational Exponents

2. Simplifying Radicals and Solving Radical Equations

3. Rational Expressions: Simplify, Multiply, Divide

4. Rational Equations and Proportions (Extraneous Solutions)

5. Exponent Rules Review and Exponential Functions

6. Growth/Decay Models (including compound interest basics)

7. Arithmetic and Geometric Sequences (intro + applications)

8. Variation (Direct, Inverse, Joint)

9. Et cetera