Equations and Functions

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
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