Carey AP PrecalculusPractice Lab
AP Precalculus · Units 1–3

Knowledge Notes

Understand the ideas before moving on. Explore distinctive knowledge notes, worked examples, and connections between representations.

GUIDED NOTES · UNITS 1–3

Understand it. Explain it. Use it.

Choose a topic to explore its teaching illustration, mathematical method, worked reasoning and self-checks.

Browse 44 interactive investigations

Unit 1 · Polynomial and Rational Functions

TOPIC 1.1

Change in Tandem

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TOPIC 1.2

Rates of Change

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TOPIC 1.3

Rates of Change in Linear and Quadratic Functions

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TOPIC 1.4

Polynomial Functions and Rates of Change

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TOPIC 1.5

Polynomial Functions and Complex Zeros

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TOPIC 1.6

Polynomial Functions and End Behavior

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TOPIC 1.7

Rational Functions and End Behavior

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TOPIC 1.8

Rational Functions and Zeros

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TOPIC 1.9

Rational Functions and Vertical Asymptotes

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TOPIC 1.10

Rational Functions and Holes

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TOPIC 1.11

Equivalent Representations of Polynomial and Rational Expressions

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TOPIC 1.12

Transformations of Functions

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TOPIC 1.13

Function Model Selection and Assumption Articulation

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TOPIC 1.14

Function Model Construction and Application

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Unit 2 · Exponential and Logarithmic Functions

TOPIC 2.1

Change in Arithmetic and Geometric Sequences

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TOPIC 2.2

Change in Linear and Exponential Functions

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TOPIC 2.3

Exponential Functions

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TOPIC 2.4

Exponential Function Manipulation

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TOPIC 2.5

Exponential Function Context and Data Modeling

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TOPIC 2.6

Competing Function Model Validation

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TOPIC 2.7

Composition of Functions

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TOPIC 2.8

Inverse Functions

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TOPIC 2.9

Logarithmic Expressions

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TOPIC 2.10

Inverses of Exponential Functions

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TOPIC 2.11

Logarithmic Functions

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TOPIC 2.12

Logarithmic Function Manipulation

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TOPIC 2.13

Exponential and Logarithmic Equations and Inequalities

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TOPIC 2.14

Logarithmic Function Context and Data Modeling

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TOPIC 2.15

Semi-log Plots

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Unit 3 · Trigonometric and Polar Functions

TOPIC 3.1

Periodic Phenomena

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TOPIC 3.2

Sine, Cosine, and Tangent

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TOPIC 3.3

Sine and Cosine Function Values

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TOPIC 3.4

Sine and Cosine Function Graphs

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TOPIC 3.5

Sinusoidal Functions

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TOPIC 3.6

Sinusoidal Function Transformations

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TOPIC 3.7

Sinusoidal Function Context and Data Modeling

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TOPIC 3.8

The Tangent Function

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TOPIC 3.9

Inverse Trigonometric Functions

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TOPIC 3.10

Trigonometric Equations and Inequalities

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TOPIC 3.11

The Secant, Cosecant, and Cotangent Functions

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TOPIC 3.12

Equivalent Representations of Trigonometric Functions

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TOPIC 3.13

Trigonometry and Polar Coordinates

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TOPIC 3.14

Polar Function Graphs

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TOPIC 3.15

Rates of Change in Polar Functions

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