Course curriculum

  • 1

    Welcome to Advanced Functions & Modeling

    • Welcome to Advanced Functions & Modeling

    • Before we begin...

    • Additional Resources
  • 2

    Unit 1: Functions

    • Unit 1 Video Examples and Practice Problems

    • Unit 1 Answer Key to Practice Problems

    • Definition of Ordered Pairs, Relation, Domain, Range & Function

    • Function Notation

    • Function Operations

    • Composition

    • Composition from a Table

    • Graph Transformations

    • Piecewise Functions

    • Finding Domain and Range from Pictures

    • Unit 1 Check Your Understanding
  • 3

    Unit 2: Trigonometry

    • Unit 2 Video Examples and Practice Problems

    • Unit 2 Answer Key to Practice Problems

    • Pythagorean Theorem

    • Right Triangles Using Soh Cah Toa

    • Finding Missing Sides of a Right Triangle

    • Finding Missing Angles of a Right Triangle

    • Angle of Elevation and Angle of Depression Definition

    • Law of Sine

    • Law of Cosine Missing Side

    • Law of Cosine Missing Angle

    • Graphing Sine and Cosine

    • Unit 2 Check Your Understanding
  • 4

    Unit 3: Probability

    • Probability

    • Independent vs Dependent

    • Compound Events

    • Counting Principle

    • Permutations and Combinations

    • Theoretical vs Experimental

    • Frequency Tables

    • Unit 3 Check Your Understanding
  • 5

    Unit 4: Recursive

    • Summation Notation

    • Arithmetic Sequences

    • Arithmetic Series

    • Arithmetic Series Summation Example

    • Geometric Sequence

    • Geometric Series

    • Infinite Sum

    • Unit 4 Check Your Understanding
  • 6

    Unit 5: Statistics

    • Measures of Center and Spread

    • Dot Plots vs Histograms

    • Box and Whisker Plots

    • Statistical Questions

    • Bias and Sampling

    • Unit 5 Check Your Understanding
  • 7

    Unit 6: Linear Regression

    • Linear Regression

    • Correlation Coefficient

    • Unit 6 Check Your Understanding
  • 8

    Unit 7: Logarithmic and Exponential Functions

    • Exponential Functions

    • Exponential Graphs Basics

    • Exponential Graphs with Transformations

    • Logarithm Definition

    • Logarithm Practice

    • Compound Interest

    • Unit 7 Check Your Understanding
  • 9

    Final Exam

    • AFM Final
  • 10

    Next steps

    • Hooray!

    • Before you go...