📈AP Pre-Calculus

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Related lists combine like topics in clear and simple ways- perfect for the studier who wants to learn big themes quickly!

Crucial Parametric EquationsEssential Exponential FunctionsFundamental Matrix OperationsCritical Complex Number OperationsFundamental Trigonometric Identities

Unit 1 – Polynomial and Rational Functions

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1.0

Unit 1 Overview: Polynomial and Rational Functions

4 min read

1.1

Change in Tandem

5 min read

1.2

Rates of Change

3 min read

1.3

Rates of Change in Linear and Quadratic Functions

3 min read

1.4

Polynomial Functions and Rates of Change

4 min read

1.5

Polynomial Functions and Complex Zeros

7 min read

1.6

Polynomial Functions and End Behavior

4 min read

1.7

Rational Functions and End Behavior

4 min read

1.8

Rational Functions and Zeros

4 min read

1.9

Rational Functions and Vertical Asymptotes

2 min read

1.10

Rational Functions and Holes

3 min read

1.11

Equivalent Representations of Polynomial and Rational Expressions

5 min read

1.12

Transformations of Functions

5 min read

1.13

Function Model Selection and Assumption Articulation

7 min read

1.14

Function Model Construction and Application

5 min read

Unit 2 – Exponential and Logarithmic Functions

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2.0

Unit 2 Overview: Exponential and Logarithmic Functions

5 min read

2.1

Change in Arithmetic and Geometric Sequences

7 min read

2.2

Change in Linear and Exponential Functions

6 min read

2.3

Exponential Functions

6 min read

2.4

Exponential Function Manipulation

5 min read

2.5

Exponential Function Context and Data Modeling

5 min read

2.6

Competing Function Model Validation

5 min read

2.7

Composition of Functions

5 min read

2.8

Inverse Functions

3 min read

2.9

Logarithmic Expressions

3 min read

2.10

Inverses of Exponential Functions

4 min read

2.11

Logarithmic Functions

4 min read

2.12

Logarithmic Function Manipulation

5 min read

2.13

Exponential and Logarithmic Equations and Inequalities

3 min read

2.14

Logarithmic Function Context and Data Modeling

3 min read

2.15

Semi-log Plots

4 min read

Unit 3 – Trigonometric and Polar Functions

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3.0

Unit 3 Overview: Trigonometric and Polar Functions

5 min read

3.1

Periodic Phenomena

4 min read

3.2

Sine, Cosine, and Tangent

5 min read

3.3

Sine and Cosine Function Values

6 min read

3.4

Sine and Cosine Function Graphs

6 min read

3.5

Sinusoidal Functions

5 min read

3.6

Sinusoidal Function Transformations

4 min read

3.7

Sinusoidal Function Context and Data Modeling

3 min read

3.8

The Tangent Function

5 min read

3.9

Inverse Trigonometric Functions

7 min read

3.9

Inverse Trigonometric Functions

1 min read

3.10

Trigonometric Equations and Inequalities

4 min read

3.11

The Secant, Cosecant, and Cotangent Functions

4 min read

3.12

Equivalent Representations of Trigonometric Functions

5 min read

3.13

Trigonometry and Polar Coordinates

7 min read

3.14

Polar Function Graphs

5 min read

3.15

Rates of Change in Polar Functions

4 min read

Unit 4 – Functions Involving Parameters, Vectors, and Matrices

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4.0

Unit 4 Overview: Functions Involving Parameters, Vectors, & Matrices

5 min read

4.1

Parametric Functions

4 min read

4.2

Parametric Functions Modeling Planar Motion

4 min read

4.3

Parametric Functions and Rates of Change

4 min read

4.4

Parametrically Defined Circles and Lines

3 min read

4.5

Implicitly Defined Functions

4 min read

4.6

Conic Sections

5 min read

4.7

Parametrization of Implicitly Defined Functions

4 min read

4.8

Vectors

6 min read

4.9

Vector-Valued Functions

2 min read

4.10

Matrices

3 min read

4.11

The Inverse and Determinant of a Matrix

4 min read

4.12

Linear Transformations and Matrices

4 min read

4.13

Matrices as Functions

6 min read

4.14

Matrices Modeling Contexts

4 min read

Exam Skills

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Score Higher on AP Pre-Calculus 2024: MCQ Tips from Students

4 min read

Score Higher on AP Pre-Calculus 2024: FRQ Tips from Students

7 min read
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About FiveableBlogCareersTestimonialsCode of ConductTerms of UsePrivacy PolicyCCPA Privacy Policy
Resources
Cram ModeAP Score CalculatorsStudy GuidesPractice QuizzesGlossaryCrisis Text LineRequest a Feature
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
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