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AP Precalculus · Lessons

AP Precalculus lessons

4 sections · 57 skills · work through the full outline skill by skill — read the long-form lesson or flip through the slide-style version.
Long-form lessonsSlide-style lessons

AP Precalculus

Practice 57 skills across this outline.

Recommended next
Change in Arithmetic and Geometric Sequences
Exponential and Logarithmic Functions
Long-form lesson
Weighting distribution
4 categories
Exponential and Logarithmic Functions
25%
Trigonometric and Polar Functions
25%
Functions Involving Parameters, Vectors, and Matrices
25%
Polynomial and Rational Functions
25%

Skills

The comprehensive taxonomy of ap precalculus — drill into a card to work its skills.

Exponential and Logarithmic Functions

15 core skills25% total weight
0/15 completed
15 skills to mastery
1
Change in Arithmetic and Geometric SequencesRecommended
Long-form
2
Change in Linear and Exponential FunctionsAvailable
Long-form
3
Competing Function Model ValidationAvailable
Long-form
4
Composition of FunctionsAvailable
Long-form
5
Exponential and Logarithmic Equations and InequalitiesAvailable
Long-form
6
Exponential Function Context and Data ModelingAvailable
Long-form
7
Exponential FunctionsAvailable
Long-form
8
Exponential Function ManipulationAvailable
Long-form
9
Inverse FunctionsAvailable
Long-form
10
Inverses of Exponential FunctionsAvailable
Long-form
11
Logarithmic FunctionsAvailable
Long-form
12
Logarithmic Function Context and Data ModelingAvailable
Long-form
13
Logarithmic ExpressionsAvailable
Long-form
14
Logarithmic Function ManipulationAvailable
Long-form
15
Semi-log PlotsAvailable
Long-form

Trigonometric and Polar Functions

14 core skills25% total weight
0/14 completed
14 skills to mastery
1
Sine, Cosine, and TangentAvailable
Long-form
2
Equivalent Representations of Trigonometric FunctionsAvailable
Long-form
3
Inverse Trigonometric FunctionsAvailable
Long-form
4
Periodic PhenomenaAvailable
Long-form
5
Polar Function GraphsAvailable
Long-form
6
Rates of Change in Polar FunctionsAvailable
Long-form
7
Sine and Cosine Function ValuesAvailable
Long-form
8
Sinusoidal Function Context and Data ModelingAvailable
Long-form
9
Sinusoidal FunctionsAvailable
Long-form
10
Sinusoidal Function TransformationsAvailable
Long-form
11
Sine and Cosine Function GraphsAvailable
Long-form
12
The Tangent FunctionAvailable
Long-form
13
Trigonometric Equations and InequalitiesAvailable
Long-form
14
Trigonometry and Polar CoordinatesAvailable
Long-form

Functions Involving Parameters, Vectors, and Matrices

14 core skills25% total weight
0/14 completed
14 skills to mastery
1
Parametric Functions Modeling Planar MotionAvailable
Long-form
2
Conic SectionsAvailable
Long-form
3
Implicitly Defined FunctionsAvailable
Long-form
4
Inverse and Determinant of a MatrixAvailable
Long-form
5
Linear Transformations and MatricesAvailable
Long-form
6
Matrices Modeling ContextsAvailable
Long-form
7
MatricesAvailable
Long-form
8
Matrices as FunctionsAvailable
Long-form
9
Parametrically Defined Circles and LinesAvailable
Long-form
10
Parametric FunctionsAvailable
Long-form
11
Parametrization of Implicitly Defined FunctionsAvailable
Long-form
12
Parametric Functions and Rates of ChangeAvailable
Long-form
13
Vector-Valued FunctionsAvailable
Long-form
14
VectorsAvailable
Long-form

Polynomial and Rational Functions

14 core skills25% total weight
0/14 completed
14 skills to mastery
1
Polynomial Functions and Complex ZerosAvailable
Long-form
2
Change in TandemAvailable
Long-form
3
Equivalent Polynomial and Rational ExpressionsAvailable
Long-form
4
Function Model Construction and ApplicationAvailable
Long-form
5
Function Model Selection and Assumption ArticulationAvailable
Long-form
6
Linear and Quadratic Rates of ChangeAvailable
Long-form
7
Polynomial Functions and Rates of ChangeAvailable
Long-form
8
Polynomial Functions and End BehaviorAvailable
Long-form
9
Rates of ChangeAvailable
Long-form
10
Rational Functions and Vertical AsymptotesAvailable
Long-form
11
Rational Functions and End BehaviorAvailable
Long-form
12
Rational Functions and HolesAvailable
Long-form
13
Rational Functions and ZerosAvailable
Long-form
14
Transformations of FunctionsAvailable
Long-form