All 4 Units — Choose Your Unit
Polynomial and Rational Functions
Covariation and rates of change, then zeros, end behavior, asymptotes, and holes in polynomial and rational functions.
Topics 1.1–1.14Exponential and Logarithmic Functions
Proportional change, function composition, inverses, and logarithms — plus model validation and semi-log plots.
Topics 2.1–2.15Trigonometric and Polar Functions
The unit circle, sinusoidal models of periodic change, identities, and the polar coordinate system.
Topics 3.1–3.15Functions Involving Parameters, Vectors, and Matrices
Parametric motion, conic sections, vectors, and matrices as functions. Additional topics, not assessed on the AP Exam.
Topics 4.1–4.14 · OptionalUnits 1–3 are required and assessed on the AP Exam. Unit 4 is optional and never appears on the exam. Suggested periods assume 45-minute classes, five days a week.
Back to Main SiteWelcome to AP Precalculus
Welcome to AP Precalculus — a course about functions that model change. You'll work with polynomial, rational, exponential, logarithmic, trigonometric, and polar functions, and learn to move between graphs, tables, equations, and verbal descriptions of the same idea.
Expect to explain your thinking, not just get answers. On the exam, correct work with clear reasoning earns the points, and the graphing calculator is a tool you'll use throughout the year. Guided lessons, interactive tools, videos, and practice problems are all here, aligned to the official College Board CED — but they only help if you use them consistently.
Whether this is your last math course or the step before calculus, the habits you build here — precise language, careful algebra, and checking whether an answer makes sense — carry forward. Ask questions early and keep up with the practice.
The AP Exam at a Glance
Course Documents
Grading, expectations, and how the year is structured.
📘The full official College Board course and exam description.
🧮Regressions, zeros, intersections, extrema, and matrices — the calculator skills the exam requires.
⭐ Start hereA Note About AI
- Generate course images
- Create the AI podcast for each lesson
- Build the interactive tools and apps
- Format and layout lesson content consistently
I'd be naive to think you won't use AI on your work. I use it — so why wouldn't you? But using AI well means more than copy-pasting an answer. Train it. Ask it to explain things in a way that makes sense to you. Use it to learn, not to skip learning.