Polynomial and Rational Functions
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.
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 (see also the reference sheet).
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.
Arithmetic and geometric sequences, exponential growth and decay, composition and inverses, logarithms and their properties, exponential and logarithmic equations, and semi-log plots.
Periodic phenomena, the unit circle, sinusoidal graphs and transformations, tangent and the reciprocal functions, inverse trig, trigonometric equations, and polar coordinates and graphs.
Parametric functions and planar motion, implicitly defined functions and conic sections, vectors and vector-valued functions, and matrices as linear transformations and models.
Units 1 through 3, mixed together. Sit a 40-question run that matches the length of the real AP Precalculus multiple-choice section and mirrors its unit weighting. Like the real exam, it draws only from Units 1 through 3; Unit 4 is not sampled, exactly as College Board scores it. Two things are the exception, and both span all four units: the arcade's pool, and the challenge deck's 240 open-ended problems.
All four units are complete: every topic has a lesson, a ten-item diagnostic, targeted drills, and a step-through animation, plus a per-unit cumulative exam. Unit 4 is not assessed on the AP exam.