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