AP Precalculus
Coming school year 2023-2024
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.
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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 2.5 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 2.13A 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 3.2 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 |