High School Math Curriculum
AP Precalculus
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Functions: Composition, Invertibility, and Transformations
1
Composite Functions
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2
Inverse Functions
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3
Transformations
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Functions: Rate of Change
1
Key Features of Graph of a Function
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2
Rates of Change
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3
Rates of Change for Linear Functions
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4
Rates of Change in Quadratic Functions
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Polynomial Functions
1
Introduction to Polynomial Functions
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2
Key Features of Graphs
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3
Complex Zeros and Fundamental Theorem of Algebra
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4
Theorems on Real Zeros of Polynomials
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5
Modeling with Polynomial Functions
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Exponential Functions
1
Sequence and Change Patterns
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2
Exponential Functions
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3
Exponential Function Transformations
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4
Exponential Modeling
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Logarithmic Functions
1
Logarithmic Expressions
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2
Inverses of Exponential Functions
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3
Logarithmic Functions
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4
Logarithmic Function Manipulation
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5
Exponential and Logarithmic Equations and Inequalities
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6
Logarithmic Function Context and Data Modeling
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7
Semi-log Plots
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Rational Functions
1
Vertical Asymptotes and Holes
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2
End Behavior of Rational Functions
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3
Zeros, Sign Analysis, and Rational Inequalities
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4
Equivalent Representations, Graphing, and Modeling
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Trigonometric Functions
1
Angles and Radians
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2
Introduction to Sine and Cosine Functions
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3
Transformations and Modeling with Cosine and Sine Functions
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4
The Tangent Function
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5
Other Trigonometric Functions
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Inverse Trigonometric Functions
1
Analysing Domain, Range and Graphs
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2
Evaluating Inverse Trigonometric Expressions
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3
Modeling
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Analytic Trigonometry
1
Trigonometric Identities
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2
Sum and Difference, Multiple Angle Identities
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3
Trigonometric Equations and Inequalities
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Polar Functions
1
Polar Coordinate System
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2
Graphs of Polar Functions
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3
Rates of Change of Polar Functions
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Vectors and Matrices (Not Tested on the Exam)
1
Introduction to Vectors
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2
Basic Operations on Vectors
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3
Unit Vectors
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4
Dot Product of Vectors
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5
Basics of Determinants
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6
Properties of Determinants
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7
Inverse of a Matrix
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8
Solution of Linear Equations
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