AP Precalculus

AP Precalculus
Unit 1A – Polynomial and Rational Functions
        1.1 Change in Tandem
        1.2 Rates of Change
        1.3 Rates of Change in Linear and Quadratic
              Functions
        1.4 Polynomial Functions and Rates of Change
        1.5A Polynomial Functions and Complex Zeros
        1.5B Polynomial Functions and Complex Zeros
        1.6 Polynomial Functions and End Behavior
        Unit 1A REVIEW
Unit 1B – Polynomial and Rational Functions
        1.7A Rational Functions and End Behavior
        1.7B Rational Functions and End Behavior
        1.8  Rational Functions and Zeros
        1.9  Rational Functions and Vertical   
​               Asymptotes
        1.10 Rational Functions and Holes
       1.11A Equivalent Expressions and Binomial Thm
       1.11B Polynomial Long Division and Slant                           Asymptotes 
       1.12A Translations of Functions
       1.12B Dilations of Functions
       1.13 Function Model Selection and Assumption
               Articulation
       1.14 Function Model Construction and
​              Application
       Unit 1B REVIEW
Unit 2A – Exponential and Logarithmic Functions 
        2.1 Change in Arithmetic and Geometric
              Sequences
        2.2 Change in Linear and Exponential
              Functions
        2.3 Exponential Functions
        2.4 Exponential Function Manipulation
        2.5A Exponential Function Context and Data
              Modeling
        2.5B Exponential Function Context and Data
              Modeling
        2.6 Competing Function Model Validation
        2.7A Composition of Functions
        2.7B Composition of Functions
        2.8 Inverse Functions
        Unit 2A REVIEW
Unit 2B – Exponential and Logarithmic Functions
        2.9 Logarithmic Expressions
        2.10 Inverses of Exponential Functions
        2.11 Logarithmic Functions
        2.12 Logarithmic Function Manipulation
        2.13A Exponential and Logarithmic Equations
                  and Inequalities
        2.13B Exponential and Logarithmic Equations
                  and Inequalities
        2.14 Logarithmic Function Context and Data
​                Modeling
​        2.15 Semi-log Plots
        Unit 2B REVIEW
Unit 3A – Trigonometric and Polar Functions
        3.1 Periodic Phenomena
        3.2A Radians
        3.2B Sine, Cosine, and Tangent
        3.3A Sine and Cosine Function Values
        3.3B Sine and Cosine Function Values
        3.4 Sine and Cosine Function Graphs
        3.5 Sinusoidal Functions
        3.6A Sinusoidal Function Transformations
        3.6B Sinusoidal Function Transformations
        3.7 Sinusoidal Function Context and Data
              Modeling
        Unit 3A REVIEW
Unit 3B – Trigonometric and Polar Functions
        3.8 The Tangent Function
        3.9 Inverse Trigonometric Functions
        3.10 Trigonometric Equations and Inequalities
        3.11 The Secant, Cosecant, and Cotangent
                Functions
        3.12A Equivalent Representations of
                  Trigonometric Functions
        3.12B Equivalent Representations of
                  Trigonometric Functions
        3.13 Trigonometry and Polar Coordinates
        3.14A Polar Function Graphs
​        3.14B Polar Function Graphs
        3.15 Rates of Change in Polar Functions
        Unit 3B REVIEW
Unit 4A – Functions Involving Parameters, Vectors, and Matrices
        4.1 Parametric Functions
        4.2 Parametric Functions Modeling Planar
              Motion
        4.3 Parametric Functions and Rates of Change
        4.4 Parametrically Defined Circles and Lines
        4.5 Implicitly Defined Functions
        4.6A Conic Sections
        4.6B Conic Sections
        4.7 Parametrization of Implicitly Defined
              Functions
        Unit 4A REVIEW
Unit 4B – Functions Involving Parameters, Vectors, and Matrices
        4.8 Vectors
        4.9 Vector-Valued Functions
        4.10 Matrices
        4.11 The Inverse and Determinant of a Matrix
        4.12 Linear Transformations and Matrices
        4.13 Matrices as Functions
        4.14 Matrices Modeling Contexts
        Unit 4B REVIEW