**Linear Equations **

- Understand the Solution of Linear Equation and Solve Linear Equations
- Use Linear Equations to Solve Word Problems
- Linear Inequalities
- Compound Linear Inequalities

**Direct Variation** **and Linear Functions**

- Introduction of Fucntions
- Representations of a Function: Verbally, Numerically, Visually, Algebraically
- Direct Variation and Its Application
- Introduction of Linear Functions
- Graph of Linear Functions: Intersection, Coincide, and Parallel
- Properties of Linear Functions
- The Application of Linear Functions (with Geometry)

**Quadratic Equations and Quadratic Functions**

- Introduction of Quadratic Equations
- Introduction of Quadratic Functions and Recognize the Graph of Quadratic Functions
- Solving Quadratic Equations Using Perfect Squares
- Solving Quadratic Equations Using Factoring
- Solving Quadratic Equations Using Completing the Squares
- Solving Quadratic Equations Using Quadratic Formula
- Discriminant and Its Application
- Application of Quadratic Equations in Real-Life Situations
- Graph Quadratic Functions and Identify the Properties
- Application of Quadratic Functions
- Quadratic Functions and Geometric Problems

**Rational Equations** **and Radical Equations**

- Solve Rational Equations That Can Be Converted Into Linear Equations
- Solve Rational Equations That Can Be Converted Into Quadratic Equations
- The Application of Rational Equations
- Solve Radical Equations
- Visualization of Extraneous Solutions

**Linear Systems and Quadratic Systems**

- Visualization System of Linear Equations
- Solve System of Linear Equations with Two Variables
- Solve System of Linear Equations with Three Variables
- Application of Linear Systems
- Linear Systems in
*The Nine Chapters on the Mathematical Art* - Solve Systems Composed of A linear Equation and A Quadratic Equation
- Solve Systems Composed of Two Quadratic Equations
- The Application of Quadratic Systems