AP Precalculus
Coming summer of 2023

This course is currently a work in progress.  We are building this course to cover each Essential Knowledge (EK) for all learning objectives recommended by CollegeBoard.  This is a new course, and we do not have released exams to guide our practice problems.  With that in mind, we continue to improve and correct material.  Feedback is welcomed at TheAlgebros@flippedmath.com.

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
        1.7 Rational Functions and End Behavior
        1.8 Rational Functions and Zeros
        1.9 Rational Functions and Vertical Asymptotes
        1.10 Rational Functions and Holes
        1.11 Equivalent Representations of Polynomial
                and Rational Expressions
        1.12 Transformations 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
        2.2A Change in Linear and Exponential
                Functions
        2.2B Change in Linear and Exponential
                Functions
        2.3 Exponential Functions
        2.4 Exponential Function Manipulation
        2.5 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
        2.13 Exponential and Logarithmic Equations
                and Inequalities
        2.14 Logarithmic Function
        Unit 2B REVIEW

Unit 3A - Trigonometric and Polar Functions
        3.1 Periodic Phenomena
        3.2 Sine, Cosine, and Tangent
        3.3 Sine and Cosine Function Values
        3.4 Sine and Cosine Function Graphs
        3.5 Sinusoidal Functions
        3.6 Sinusoidal Function Transformations
        3.7 Sinusoidal Function Context and Data
              Modeling
        3.8 The Tangent Function
        Unit 3A REVIEW

Unit 3B - Trigonometric and Polar Functions
        3.9 Inverse Trigonometric Functions
        3.10 Trigonometric Equations and Inequalities
        3.11 The Secant, Cosecant, and Cotangent
                Functions
        3.12 Equivalent Representations of
                Trigonometric Functions
        3.13 Trigonometry and Polar Coordinates
        3.14 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