SAT / PSAT
SAT / PSAT Prep
History & Social Science
AP World History AP US History AP European History AP Human Geography AP US Government & Politics AP Psychology AP Macroeconomics AP Microeconomics
English
AP English Language & Composition AP English Literature & Composition
Math & Computer Science
AP Calculus AB/BC AP Precalculus AP Statistics AP Computer Science A AP Computer Science Principles
Sciences
AP Biology AP Chemistry AP Environmental Science AP Physics 1 AP Physics 2
World Languages & Arts
AP Spanish Language AP Art History AP Music Theory Start studying →
Free AP Precalculus Study Guide

AP Precalculus · All 4 Units

Master AP Precalculus from polynomial and rational functions through trigonometric and polar functions. Flashcards, cheat sheets, essential terms, practice questions, and visual reviews for every unit, all completely free.

4 units total
3 units on the exam
40 MCQ + 4 FRQ exam
College Board aligned
100% free

Choose your unit

Each unit has 6 study resources: flashcards, cheat sheet, essential terms, practice questions, visual review, and FRQ practice.

Unit 1
Building Blocks
Polynomial & Rational Functions
Change in tandem, rates of change and concavity, polynomial zeros and end behavior, rational asymptotes and holes, transformations, and modeling.
30–40% of exam
Start Unit 1 →
Unit 2
Growth & Decay
Exponential & Logarithmic Functions
Arithmetic and geometric sequences, exponential growth and decay, logarithms as inverses, log properties, and exponential and logarithmic modeling.
27–40% of exam
Start Unit 2 →
Unit 3
Periodic Phenomena
Trigonometric & Polar Functions
The unit circle, sine, cosine, and tangent, sinusoidal modeling, inverse trig, trig equations, and graphing functions in the polar plane.
30–35% of exam
Start Unit 3 →
Unit 4
Beyond the Exam
Functions Involving Parameters, Vectors & Matrices
Parametric functions, implicitly defined functions and conic sections, vectors, and matrices as transformations. Additional topics, not assessed on the AP Exam.
Not assessed on the AP Exam
Start Unit 4 →

About AP Precalculus

AP Precalculus is a college-level course that centers on functions as models of dynamic phenomena. Instead of treating precalculus as a grab bag of algebra topics, the course builds a single unifying idea: a function is a rule that relates two quantities changing in tandem, and every function type can be understood through graphical, numerical, analytical, and verbal representations.

The course is organized into four units: Polynomial & Rational Functions, Exponential & Logarithmic Functions, Trigonometric & Polar Functions, and Functions Involving Parameters, Vectors & Matrices. Units 1, 2, and 3 are assessed on the AP Exam; Unit 4 contains additional topics that some schools teach but that never appear on the exam.

Every page on this site is aligned to the College Board's official AP Precalculus Course and Exam Description and completely free. Use what works for your study style: flashcards for active recall, the cheat sheet for a one-page overview, or practice questions to test yourself before the exam.

What's included in each unit

Every unit has the same 6 study resources, designed for different learning styles.

Flashcards
Interactive cards per unit
Cheat Sheet
One-page visual summary
Essentials
Key terms and core concepts
Visual Review
Slide-by-slide walkthrough
Practice MCQ
Exam-style questions
FRQ Practice
Free-response practice

Other AP subjects