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AP Precalculus
This course explores everyday situations and phenomena using mathematical models. We investigate how the world changes through polynomial, rational, exponential, logarithmic, and trigonometric functions.
Start Here — Full AP Precalculus Video Solutions Playlist
Each video corresponds to a lesson below. Work through them in order alongside the notes and worksheets.
AP Precalculus
Course Overview
Unit 1
Polynomial and Rational Functions
Rates of change, modeling with polynomial functions, zeroes of polynomials, and end behavior of rational functions.
Unit 2
Exponential and Logarithmic Functions
Arithmetic and geometric sequences, compound interest, exponential modeling, and logarithmic properties.
Unit 3
Trigonometric and Polar Functions
Angles in standard position, the unit circle, graphing trigonometric functions, and polar coordinates.
Unit 4
Functions Involving Parameters, Vectors, and Matrices
Parametric equations, vector operations, and matrix transformations.
Unit 1
Polynomial and Rational Functions
Topic 1.1 - Change in Tandem0%
Topic 1.2 - Rates of Change0%
Topic 1.3 - Rates of Change in Linear and Quadratic Functions0%
Topic 1.4 - Polynomial Functions and Rates of Change0%
Topic 1.5 - Polynomial Functions and Complex Zeros0%
Topic 1.6 - Polynomial Functions and End Behavior0%
Review 1.1–1.60%
Topic 1.7 - Rational Functions and End Behavior0%
Topic 1.8 - Rational Functions and Zeros0%
Topic 1.9-1.10 - Rational Functions and Asymptotes0%
Topic 1.11 - Rational Functions and Concept of Limit0%
Review 1.7–1.110%
Topic 1.12 - Transformations of Functions0%
Topic 1.13-1.14 - Function Model Construction0%
Unit 2
Exponential and Logarithmic Functions
Topic 2.1 - Change in Arithmetic and Geometric Sequences0%
Topic 2.2 - Change in Linear and Exponential Functions0%
Topic 2.3 - Exponential Functions0%
Topic 2.4 - Exponential Function Manipulation0%
Topic 2.5 - Exponential Function Context and Data Modeling0%
Topic 2.6 - Competing Function Model Validation0%
Topic 2.7 - Composition of Functions0%
Topic 2.8 - Inverse Functions0%
Topic 2.9 - Logarithmic Expressions0%
Topic 2.10 - Inverses of Exponential Functions0%
Topic 2.11 - Logarithmic Functions0%
Topic 2.12 - Logarithmic Manipulation0%
Topic 2.13 - Exponential and Logarithmic Equations and Inequalities0%
Topic 2.14 - Logarithmic Function Context and Data Modeling0%
Topic 2.15 - Semi-log Plots0%
Unit 3
Trigonometric and Polar Functions
Topic 3.1 - Periodic Phenomena0%
Topic 3.2 - Radian Angle Measures0%
Topic 3.3 - Sine and Cosine Function Values0%
Topic 3.4-3.5 - Sine and Cosine Function Graphs and Sinusoidal Functions0%
Topic 3.6 - Sinusoidal Function Transformations0%
Topic 3.7 - Sinusoidal Function Context and Data Modeling0%
Topic 3.8 - The Tangent Function0%
Topic 3.9 - Inverse Trigonometric Functions0%
Topic 3.10 - Trigonometric Equations and Inequalities0%
Topic 3.11 - The Secant, Cosecant, and Cotangent Functions0%
Topic 3.12 - Equivalent Representations of Trigonometric Functions0%
Topic 3.13 - Trigonometry and Polar Coordinates0%
Topic 3.14 - Polar Function Graphs0%
Topic 3.15 - Rates of Change in Polar Functions0%
Unit 4: Functions Involving Parameters, Vectors, and Matrices
Parametric equations, vector operations, and matrix transformations.
College Board does not currently test Unit 4 material on the AP Precalculus exam. This is why the AP Precalculus Free Response section has 4 questions instead of the typical 6. When College Board adds Unit 4 to the exam, Bryan Passwater will release the corresponding materials and they will be available here.
Test Prep
AP Exam Review
Comprehensive review materials for the AP Precalculus exam.