AP Precalculus
Functions, trigonometry, and modeling that build the foundation for AP Calculus and college STEM courses.
AP Precalculus prepares students for calculus and other college-level mathematics by exploring polynomial, rational, exponential, logarithmic, trigonometric, and polar functions. Students learn to model real-world scenarios, reason about rates of change, and represent functions graphically, numerically, analytically, and verbally.
Why AP Precalculus Matters
A qualifying score on the AP Precalculus Exam can earn college credit or placement. Each college sets its own policy, so check the score your colleges ask for.
Precalculus
Scored 1–5. In Bluebook, fully digital or hybrid (handwritten free responses).
AP Precalculus course units
The units of the College Board course. Lessons follow them in the order your class takes them.
How lessons approach Precalc
Understanding the concepts, and answering the exam's questions the way they are scored.
- Connect graphical, numerical, analytical, and verbal representations
- Understand function families and their transformations
- Build intuition for rates of change before calculus
- Use modeling to anchor abstract concepts
- Practice both calculator and non-calculator sections
- Master function notation and domain/range analysis
- Learn to justify reasoning in free-response answers
- Drill trigonometric identities and the unit circle
Past papers and practice exams
Practice exams in the current exam format are reviewed afterwards, and the errors set the work for the next lessons.
Past papers
Practice exams and sample questions modeled on the College Board AP Precalculus format.
- Full-length exams matching the AP Precalculus format
- Calculator and non-calculator sections included
- Scoring with detailed explanations
- Error analysis identifying concept gaps
- Progress tracking across all units
How a practice exam is used
- 1Sit a full practice examTimed, section by section
- 2Review the errorsWith your tutor, by unit and question type
- 3Targeted practiceOn the units and question types that cost points
- 4RepeatBefore the exam