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APIntro
AP Precalculus
Bridge into calculus through functions, trigonometry, and polar systems with confidence.
📚 4 units🤖 AI-guided support✅ Practice questions included
Course Units
2025–26 College Board CED1
Polynomial and Rational Functions30–40% of exam
1.1
Rates of Change and Average vs. Instantaneous Rate
Coming Soon
1.2
Polynomial Functions — Behavior and Zeros
Coming Soon
1.3
Complex Numbers and the Fundamental Theorem of Algebra
Coming Soon
1.4
Rational Functions — Asymptotes and Holes
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1.5
Polynomial Inequalities and Sign Analysis
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1.6
Rational Function Transformations and Graphing
Coming Soon
1.7
Function Composition and Inverse Functions
Coming Soon
1.8
Modeling with Polynomial and Rational Functions
Coming Soon
2
Exponential and Logarithmic Functions27–40% of exam
2.1
Exponential Growth vs. Decay — The Constant Ratio Property
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2.2
The Natural Exponential and e
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2.3
Logarithms — Properties and Solving Equations
Coming Soon
2.4
Inverse Relationship Between Exponential and Logarithmic Functions
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2.5
Exponential and Logarithmic Transformations
Coming Soon
2.6
Semi-Log and Log-Log Plots
Coming Soon
2.7
Modeling with Exponential and Logarithmic Functions
Coming Soon
2.8
Logarithmic Scale and Real-World Applications
Coming Soon
3
Trigonometric and Polar Functions30–35% of exam
3.1
The Unit Circle and Radian Measure
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3.2
Sine and Cosine Functions — Properties and Graphs
Coming Soon
3.3
Tangent, Cotangent, Secant, Cosecant
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3.4
Inverse Trig Functions — Domain, Range, Notation
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3.5
Trig Identities and Their Proofs
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3.6
Solving Trigonometric Equations
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3.7
Polar Coordinates and Polar Curves
Coming Soon
3.8
Modeling with Sinusoidal Functions
Coming Soon
4
Functions Involving Parameters, Vectors, and MatricesNot on AP Exam (coursework only) of exam
4.1
Parametric Equations — Tracing Curves
Coming Soon
4.2
Vectors — Components, Magnitude, Direction
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4.3
Vectors in Applied Contexts — Force, Velocity, Navigation
Coming Soon
4.4
Matrices — Operations and Applications
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4.5
Solving Systems with Matrices
Coming Soon
4.6
Sequences and Series — Arithmetic and Geometric
Coming Soon
4.7
Conic Sections — Circles, Ellipses, Parabolas, Hyperbolas
Coming Soon
4.8
Probability and Data Analysis Connections
Coming Soon