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AP Mathematics

AP Precalculus

A tutoring roadmap aligned to the current AP Precalculus framework: polynomial/rational, exponential/logarithmic, and trigonometric/polar functions, with modeling and multiple representations.

Course overview

A tutoring roadmap aligned to the current AP Precalculus framework: polynomial/rational, exponential/logarithmic, and trigonometric/polar functions, with modeling and multiple representations.

Math Aficionado uses this structure as a tutoring roadmap: lessons can be paced around the student's current level, school sequence, assignments, and assessment goals rather than forcing every student through the same timetable.

Units & topics

Unit 1

Polynomial & Rational Functions

  • Modeling with polynomial functions
  • Zeros and factors
  • Polynomial end behavior
  • Rational functions and asymptotes
  • Equations and inequalities involving polynomial/rational functions
Unit 2

Exponential & Logarithmic Functions

  • Exponential growth and decay
  • Exponential functions as models
  • Logarithmic functions and inverse relationships
  • Logarithmic properties and equations
  • Comparing growth rates
Unit 3

Trigonometric & Polar Functions

  • Unit-circle trigonometry
  • Trig functions and graphs
  • Inverse trigonometric functions
  • Trigonometric identities and equations
  • Polar coordinates and polar graphs
Unit 4

Parameters, Vectors & Matrices

  • Parametric functions
  • Vector operations and modeling
  • Matrix representations
  • Systems using matrices
  • Functions involving parameters and transformations

Curriculum reference: College Board AP course framework. The page is an independent tutoring roadmap and is not an official course page of the source institution.

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