High School Math Curriculum
AP Precalculus
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Functions: Compositions, Inverses, and TransFormations
1
Composite Functions
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Inverse Functions
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Transformations
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Functions: Rates of Change
1
Key Features of the Graph of a Function
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Rates of Change
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3
Rates of Change of Linear Functions
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4
Rates of Change of Quadratic Functions
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Polynomial Functions
1
Introduction to Polynomial Functions
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Key Features of Graphs 1
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3
Key Features of Graphs 2
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4
Complex Zeros and Fundamental Theorem of Algebra
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Rational Zeros Theorem and Polynomial Equations
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6
Irrational Conjugate Theorem and Descartes’ Rule
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7
Modeling with Polynomial Functions
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Exponential Functions
1
Sequences & Change Patterns
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2
Exponential Functions and Transformations
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3
Exponential Models
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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
Modeling with Logarithmic Functions
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7
Semi-Log Plots
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Rational Functions
1
Rational Functions: 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
Measuring Angles in Radians
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2
Finding the Arc Length and Area of a Sector
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3
Sine and Cosine as Trigonometric Functions
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4
Equivalent Trigonometric Expressions
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5
Graphs and Features of Sine and Cosine Curves
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6
Transformation on Sine and Cosine Functions
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7
Modeling with Cosine and Sine Functions
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8
The Tangent Function
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9
Other Trigonometric Functions
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Inverse Trigonometric Functions
1
Analyzing Domain, Range, and Graphs
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2
Evaluating Inverse Trigonometric Expressions
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Analytic Trigonometry
1
Basic Trigonometric Identities
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2
Simplifying and Proving Equivalence of Trigonometric Expressions
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3
Sum and Difference Identities
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4
Trigonometric Equations and Inequalities
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Polar Functions and Graphs
1
Polar Coordinates and Conversions
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2
Graphing Polar Functions
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3
Families of Polar Curves
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4
Rates of Change in Polar Functions
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