AP Precalculus Study Guide

AP Precalculus is one of the newest and fastest-growing AP courses, built around functions as the connecting theme — polynomial, rational, exponential, logarithmic, trigonometric, and polar functions are all studied through the same lens of how a function's rate of change behaves. The 2027 exam format is 42 MCQ and 4 FRQs worth 6 points each.

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Unit Breakdown

Unit 1: Polynomial and Rational Functions

End behavior, rates of change, and analyzing polynomial and rational functions.

Unit 2: Exponential and Logarithmic Functions

Growth/decay models and the relationship between exponential and logarithmic functions.

Unit 3: Trigonometric and Polar Functions

Unit circle trigonometry, trig identities, and polar coordinates/graphs.

Unit 4: Functions Involving Parameters, Vectors, and Matrices

Parametric equations, vectors, and matrices as modeling tools.

Unit topics reflect College Board's published Course and Exam Description at a high level — always check the current CED for exact skill weighting, since College Board revises these periodically.

Common Mistakes to Avoid

Treating this course as "just algebra review" instead of the function-behavior-and-rate-of-change reasoning it actually tests — MCQs frequently ask you to reason about a function's behavior without an explicit equation.
Weak polar-graph intuition — converting between rectangular and polar forms and visualizing polar curves is a distinct skill worth deliberate practice.
Not practicing the calculator-required MCQ subsection separately from the no-calculator subsection — the two require different strategies and pacing.
Skipping justification on FRQs that ask you to explain *why* a function behaves a certain way, not just compute a value — like other AP math exams, reasoning is scored separately from computation.

What's Next

Once you've worked through these units, check the AP Precalculus exam format and score curve to see how MCQ and FRQ points combine into your final score, or review 2027 exam dates and registration deadlines.