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AP Precalculus Units

All four units of the AP Precalculus course framework, with exam weighting and topic counts. Units 1 through 3 are the exam: polynomial and rational functions, exponential and logarithmic functions, and trigonometric and polar functions. Unit 4 is not assessed on the AP exam; schools teach it based on state or local requirements. Weightings are from the College Board Course and Exam Description.

Total units

4

Total topics

58

Heaviest unit

Unit 1

On the exam

Units 1-3

1

Polynomial and Rational Functions

30-40% of exam · 14 topics

Rates of change, polynomial end behavior and zeros, rational functions with their asymptotes and holes, transformations, and choosing and building function models. The heaviest unit on the exam.

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2

Exponential and Logarithmic Functions

25-40% of exam · 15 topics

Arithmetic and geometric sequences, exponential growth and decay, composition and inverses, logarithms and their properties, exponential and logarithmic equations, and semi-log plots.

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3

Trigonometric and Polar Functions

30-35% of exam · 15 topics

Periodic phenomena, the unit circle, sinusoidal graphs and transformations, tangent and the reciprocal functions, inverse trig, trigonometric equations, and polar coordinates and graphs.

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4

Functions Involving Parameters, Vectors, and Matrices

Not on the AP exam · 14 topics

Parametric functions and planar motion, implicitly defined functions and conic sections, vectors and vector-valued functions, and matrices as linear transformations and models.

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The AP Precalculus course is in build. Topic hubs, lessons, diagnostics, drills, and cumulative exams are rolling out unit by unit, starting with Unit 1.