Unit 1: Introduction to Functions

Develop an understanding of functions as mathematical relationships and learn how they can be represented in multiple ways.

Subtopics

  • Relations and Functions
  • Domain and Range
  • Function Notation
  • Multiple Representations
  • Real-World Functions

Unit 2: Linear Functions

Investigate linear relationships and learn how slope and equations describe constant rates of change.

Subtopics

  • Constant Rate of Change
  • Slope
  • Slope-Intercept Form
  • Writing Linear Equations
  • Applications of Linear Functions

Unit 3: Non-Linear Functions

Explore functions whose rates of change vary, including quadratic, exponential, and piecewise relationships.

Subtopics

  • Quadratic Functions
  • Exponential Functions
  • Piecewise and Step Functions
  • Comparing Function Types
  • Modeling with Functions

Unit 4: Transformations of Graphs

Learn how graphs change through translations, reflections, stretches, and compressions, and connect these transformations to changes in equations.

Subtopics

  • Translations
  • Reflections
  • Stretches and Compressions
  • Combining Transformations
  • Applications of Transformations

Unit 5: Analyzing and Interpreting Graphs

Develop the skills needed to interpret graphs, identify key features, and apply functions to solve real-world problems.

Subtopics

  • Intercepts
  • Increasing and Decreasing Functions
  • Maximums and Minimums
  • Function Features
  • Function Modeling Project
 
 
Last modified: Tuesday, 21 July 2026, 12:36 PM