College Board · AP Precalculus
AP Precalculus Resources
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Units and topics
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Unit 1 - Polynomial and Rational Functions14 topics
Open this unit →- Topic 1.1 Change in TandemMaterials
- Topic 1.2 Rates of ChangeMaterials
- Topic 1.3 Rates of Change in Linear and Quadratic FunctionsMaterials
- Topic 1.4 Polynomial Functions and Rates of ChangeMaterials
- Topic 1.5 Polynomial Functions and Complex ZerosMaterials
- Topic 1.6 Polynomial Functions and End BehaviorMaterials
- Topic 1.7 Rational Functions and End BehaviorMaterials
- Topic 1.8 Rational Functions and ZerosMaterials
- Topic 1.9 Rational Functions and Vertical AsymptotesMaterials
- Topic 1.10 Rational Functions and HolesMaterials
- Topic 1.11 Equivalent Representations of Polynomial and Rational ExpressionsMaterials
- Topic 1.12 Transformations of FunctionsMaterials
- Topic 1.13 Function Model Selection and Assumption ArticulationMaterials
- Topic 1.14 Function Model Construction and ApplicationMaterials
Unit 2 - Exponential and Logarithmic Functions15 topics
Open this unit →- Topic 2.1 Change in Arithmetic and Geometric SequencesMaterials
- Topic 2.2 Change in Linear and Exponential FunctionsMaterials
- Topic 2.3 Exponential FunctionsMaterials
- Topic 2.4 Exponential Function ManipulationMaterials
- Topic 2.5 Exponential Function Context and Data ModelingMaterials
- Topic 2.6 Competing Function Model ValidationMaterials
- Topic 2.7 Composition of FunctionsMaterials
- Topic 2.8 Inverse FunctionsMaterials
- Topic 2.9 Logarithmic ExpressionsMaterials
- Topic 2.10 Inverses of Exponential FunctionsMaterials
- Topic 2.11 Logarithmic FunctionsMaterials
- Topic 2.12 Logarithmic Function ManipulationMaterials
- Topic 2.13 Exponential and Logarithmic Equations and InequalitiesMaterials
- Topic 2.14 Logarithmic Function Context and Data ModelingMaterials
- Topic 2.15 Semi-log PlotsMaterials
Unit 3 - Trigonometric and Polar Functions15 topics
Open this unit →- Topic 3.1 Periodic PhenomenaMaterials
- Topic 3.2 Sine, Cosine, and TangentMaterials
- Topic 3.3 Sine and Cosine Function ValuesMaterials
- Topic 3.4 Sine and Cosine Function GraphsMaterials
- Topic 3.5 Sinusoidal FunctionsMaterials
- Topic 3.6 Sinusoidal Function TransformationsMaterials
- Topic 3.7 Sinusoidal Function Context and Data ModelingMaterials
- Topic 3.8 The Tangent FunctionMaterials
- Topic 3.9 Inverse Trigonometric FunctionsMaterials
- Topic 3.10 Trigonometric Equations and InequalitiesMaterials
- Topic 3.11 The Secant, Cosecant, and Cotangent FunctionsMaterials
- Topic 3.12 Equivalent Representations of Trigonometric FunctionsMaterials
- Topic 3.13 Trigonometry and Polar CoordinatesMaterials
- Topic 3.14 Polar Function GraphsMaterials
- Topic 3.15 Rates of Change in Polar FunctionsMaterials
Unit 4 - Functions Involving Parameters, Vectors, and Matrices (not assessed on AP Exam)14 topics
Open this unit →- Topic 4.1 Parametric FunctionsMaterials
- Topic 4.2 Parametric Functions Modeling Planar MotionMaterials
- Topic 4.3 Parametric Functions and Rates of ChangeMaterials
- Topic 4.4 Parametrically Defined Circles and LinesMaterials
- Topic 4.5 Implicitly Defined FunctionsMaterials
- Topic 4.6 Conic SectionsMaterials
- Topic 4.7 Parametrization of Implicitly Defined FunctionsMaterials
- Topic 4.8 VectorsMaterials
- Topic 4.9 Vector-Valued FunctionsMaterials
- Topic 4.10 MatricesMaterials
- Topic 4.11 The Inverse and Determinant of a MatrixMaterials
- Topic 4.12 Linear Transformations and MatricesMaterials
- Topic 4.13 Matrices as FunctionsMaterials
- Topic 4.14 Matrices Modeling ContextsMaterials
Past papers and exam practice
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