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.
Total units
4
Total topics
58
Heaviest unit
Unit 1
On the exam
Units 1-3
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.
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.