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AP Precalculus

AP Precalculus is covered in this study plan for the AP Exams in the US. Review and practice exercises cover polynomial functions, exponential functions, and trigonometric functions, with unit exams to test your progress.

9 · 10 · 11 · 12

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Also covered in this plan

  • Equivalent Representations of Polynomial and Rational Expressions
  • Transformations of Functions
  • Function Model Selection and Assumption Articulation
  • Function Model Construction and Application
  • Exam: Polynomial and Rational Functions
  • Change in Arithmetic and Geometric Sequences
  • Change in Linear and Exponential Functions
  • Exponential Functions
  • Exponential Function Manipulation
  • Exponential Function Context and Data Modeling
  • Competing Function Model Validation
  • Composition of Functions
  • Inverse Functions
  • Logarithmic Expressions
  • Inverses of Exponential Functions
  • Logarithmic Functions
  • Logarithmic Function Manipulation
  • Exponential and Logarithmic Equations and Inequalities
  • Logarithmic Function Context and Data Modeling
  • Semi-log Plots
  • Exam: Exponential and Logarithmic Functions
  • Periodic Phenomena
  • Sine, Cosine, and Tangent
  • Sine and Cosine Function Values
  • Sine and Cosine Function Graphs
  • Sinusoidal Functions
  • Sinusoidal Function Transformations
  • Sinusoidal Function Context and Data Modeling
  • The Tangent Function
  • Inverse Trigonometric Functions
  • Trigonometric Equations and Inequalities
  • The Secant, Cosecant, and Cotangent Functions
  • Equivalent Representations of Trigonometric Functions
  • Trigonometry and Polar Coordinates
  • Polar Function Graphs
  • Rates of Change in Polar Functions
  • Exam: Trigonometric and Polar Functions
  • Parametric Functions
  • Parametric Functions Modeling Planar Motion
  • Parametrically Defined Circles and Lines
  • Conic Sections
  • Vectors
  • Matrices
  • The Inverse and Determinant of a Matrix
  • Linear Transformations and Matrices
  • Matrices Modeling Contexts
  • Exam: Functions Involving Parameters, Vectors, and Matrices

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