AP Precalculus Units: Full List

AP Precalculus covers polynomial, rational, exponential, logarithmic, trigonometric, and polar functions. Whether you're creating a revision plan, reviewing the course structure, or checking that you haven't missed anything important, this guide explains all the AP Precalculus topics and shows how they're organized within the course framework.

Key Takeaways

• AP Precalculus focuses on functions, mathematical modeling, and trigonometry.

• The course is organized into four units, although only Units 1–3 are assessed on the AP Exam.

• Understanding how topics are grouped can help you plan revision more effectively.

• Using a topic list makes it easier to identify strengths, weaknesses, and gaps in your knowledge.

Why It's Important to Understand the Course Structure 

AP Precalculus is administered by the College Board (opens in a new tab), which means all students follow the same course framework and take the same AP Exam. Understanding how the course is structured can help you prioritize revision and ensure you've covered all the examinable content.

AP Precalculus Units

The AP Precalculus course is divided into four units.

Unit 1: Polynomial and Rational Functions

Unit 1 focuses on polynomial and rational functions, which form the foundation of much of the AP Precalculus course.

Key topics include:

• Function concepts and representations

• Average rate of change

• Polynomial functions and their graphs

• Zeros and factors of polynomial functions

• Rational functions and asymptotes

• Function transformations

• Mathematical modeling with functions

Unit 2: Exponential and Logarithmic Functions

Unit 2 focuses on exponential and logarithmic functions, which are commonly used to model growth, decay, and repeated change.

Key topics include:

• Arithmetic and geometric sequences

• Exponential functions

• Exponential modeling

• Composition and inverse functions

• Logarithmic expressions and functions

• Exponential and logarithmic equations

• Semi-log plots

Unit 3: Trigonometric and Polar Functions

Unit 3 focuses on trigonometric and polar functions, helping you model periodic behavior and relationships involving angles.

Key topics include:

• Periodic phenomena

• Sine, cosine, and tangent functions

• Trigonometric transformations and modeling

• Trigonometric equations

• Inverse trigonometric functions

• Polar coordinates

• Polar graphs

• Rates of change in trigonometric and polar contexts

Unit 4: Functions Involving Parameters, Vectors, and Matrices

Unit 4 introduces additional mathematical concepts, including vectors, matrices, and parametric functions.

Although Unit 4 is part of the course framework, it is not assessed on the AP Exam.

Key topics include:

• Parametric functions

• Implicit functions

• Conic sections

• Vectors and vector-valued functions

• Matrices

• Linear transformations

Which Topics Are Assessed on the AP Exam?

The AP Precalculus Exam assesses content from Units 1–3.

Unit 4 is part of the course framework but is not assessed on the AP Exam.

How to Use Topic Lists for Revision

Using a topic list can make AP Precalculus revision more focused and effective. Instead of revising randomly, you can use the course structure to identify what you've already mastered and where you need more practice.

Start by working through each unit and rating your confidence with each topic. This can help you pinpoint weaker areas that need additional attention before the exam. Many students find it helpful to create a revision checklist based on the unit breakdown. 

Then revise actively, focusing particularly on those topics. Our guide to how to study for AP exams offers a step-by-step strategy you can follow. When planning your revision, remember that only Units 1–3 are assessed on the AP Exam. Since Unit 4 is not assessed, you may want to prioritize the examinable units when preparing for the test.

Practice questions are one of the best ways to identify gaps in your understanding. If you consistently struggle with a particular topic, return to your notes, review worked examples, and then attempt more questions to build confidence. 

Look at past papers to familiarise yourself with the paper's structure and format. Then, take a target test or a full mock exam to ensure you’re fully prepared for the AP Exam.

As you practice, use Save My Exams’ AP Precalculus Strengths & Weaknesses tool to keep track of which topics may still need work.

Frequently Asked Questions

Do I need to revise all AP Precalculus topics for the exam?

No. The AP Precalculus Exam only assesses content from Units 1–3. Unit 4 is part of the course framework but is not included on the AP Exam.

Are these topics the same for all students?

Yes. AP Precalculus is administered by the College Board, so all students follow the same course framework and are assessed on the same AP Exam.

How do I know which topics I struggle with most?

Practice questions and past exam materials can help you identify weaker areas. Keep track of the topics where you make repeated mistakes and prioritize these during revision.

Do all topics appear in every exam?

Not necessarily. However, questions can be drawn from any examinable content area, so it's important to revise all topics covered in Units 1–3.

Final Thoughts

Understanding the full AP Precalculus unit list can help you plan revision more effectively and feel more confident about what to expect on the AP Exam. The course is built around functions, mathematical modeling, and trigonometry, with Units 1–3 forming the basis of the AP Exam.

Use the topic breakdown as a revision checklist, identify areas where you need more practice, and revisit challenging concepts regularly. A clear understanding of the course structure can make it easier to plan your revision and ensure you've covered all the examinable content before test day. Save My Exams has all the AP Precalculus revision resources you need to get set for success.

References:

• Advanced Placement (opens in a new tab)

• AP Precalculus Course (opens in a new tab)

• AP® Precalculus Course and Exam Description (opens in a new tab)

• AP Precalculus Course Overview (opens in a new tab)

• AP Precalculus Course at a Glance (opens in a new tab)