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Unit Review System

Review the units that create score movement.

AP Precalculus unit cards are designed around exam weight, common mistakes, and the exact review tasks a student should do next.

Unit 1High32% weight

Polynomial and Rational Functions

Key Concepts

  • • End Behavior: Use degree, leading coefficient, and intercepts to describe polynomial graphs.
  • • Rational Function Features: Interpret zeros, holes, asymptotes, and domain restrictions.

Must-Know Vocabulary

  • • end behavior
  • • multiplicity
  • • vertical asymptote
  • • removable discontinuity

Common Mistakes

  • • Treating holes and vertical asymptotes as the same feature.
  • • Ignoring domain restrictions when interpreting a model.

Recommended Review

  • • Sketch two rational functions from factored form.
  • • Explain how multiplicity changes graph behavior at an intercept.
Unit 3Medium30% weight

Trigonometric and Polar Functions

Key Concepts

  • • Trigonometric Models: Connect amplitude, period, midline, and phase shift to real contexts.
  • • Polar Coordinates: Represent and interpret points, graphs, and rates in polar form.

Must-Know Vocabulary

  • • amplitude
  • • period
  • • phase shift
  • • polar coordinate

Common Mistakes

  • • Using degree mode when the prompt requires radians.
  • • Reading amplitude as a maximum instead of distance from midline.

Recommended Review

  • • Build one sinusoidal model from a table.
  • • Convert four polar points to rectangular coordinates.