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Advanced Placement · College Board
AP Precalculus
Free study guide.
Functions, modeling, trigonometry, intro to calc concepts.
Units
3
Lessons
44
Study time
8 hrs
Exam format: 40 multiple-choice questions and 4 free-response questions, 3 hours total
What you'll get
Built for how you actually study
Every lesson has a clear concept overview, a worked example, common mistakes, and AP-realistic practice. Read it. Listen to it. Try it.
Diagrams, not just words
Concept overviews, flow diagrams, worked examples — designed for visual + auditory learners.
AP-realistic practice
8 MCQs per lesson + full mock exams. Hidden until you reveal. Track your accuracy over time.
Course outline
3 units · 44 lessons
Click any unit to see its lessons. Unit weights show how much of the AP exam tests each unit.
Polynomial and Rational Functions
1.1
Change in Tandem
11m
1.2
Rates of Change
10m
1.3
Rates of Change in Linear and Quadratic Functions
11m
1.4
Polynomial Functions and Rates of Change
11m
1.5
Polynomial Functions and Complex Zeros
11m
1.6
Polynomial Functions and End Behavior
11m
1.7
Rational Functions and End Behavior
11m
1.8
Rational Functions and Zeros
10m
1.9
Rational Functions and Vertical Asymptotes
10m
1.10
Rational Functions and Holes
10m
1.11
Equivalent Representations of Polynomial and Rational Expressions
12m
1.12
Transformations of Functions
14m
1.13
Function Model Selection and Assumption Articulation
11m
1.14
Function Model Construction and Application
12m
Exponential and Logarithmic Functions
2.1
Change in Arithmetic and Geometric Sequences
10m
2.2
Change in Linear and Exponential Functions
11m
2.3
Exponential Functions
12m
2.4
Exponential Function Manipulation
11m
2.5
Exponential Function Context and Data Modeling
12m
2.6
Competing Function Model Validation
10m
2.7
Composition of Functions
11m
2.8
Inverse Functions
12m
2.9
Logarithmic Expressions
11m
2.10
Inverses of Exponential Functions
11m
2.11
Logarithmic Functions
11m
2.12
Logarithmic Function Manipulation
10m
2.13
Exponential and Logarithmic Equations and Inequalities
11m
2.14
Logarithmic Function Context and Data Modeling
11m
2.15
Semi-log Plots
12m
Trigonometric and Polar Functions
3.1
Periodic Phenomena
11m
3.2
Sine, Cosine, and Tangent
10m
3.3
Sine and Cosine Function Values
10m
3.4
Sine and Cosine Function Graphs
10m
3.5
Sinusoidal Functions
11m
3.6
Sinusoidal Function Transformations
10m
3.7
Sinusoidal Function Context and Data Modeling
11m
3.8
The Tangent Function
11m
3.9
Inverse Trigonometric Functions
11m
3.10
Trigonometric Equations and Inequalities
12m
3.11
The Secant, Cosecant, and Cotangent Functions
10m
3.12
Equivalent Representations of Trigonometric Functions
12m
3.13
Trigonometry and Polar Coordinates
12m
3.14
Polar Function Graphs
9m
3.15
Rates of Change in Polar Functions
11m
FAQ
Common questions
Is this course really free?
Yes — every lesson, every MCQ, every mock exam is free. No premium tier, no ads, no selling student data.
AP CED is published by College Board; our adaptation and lessons are licensed CC BY-NC-SA 4.0.
Is this aligned to the current College Board CED?
Yes. This course follows the
2023-24 College Board CED.
View the official CED →
Every lesson maps to a specific Essential Knowledge topic.
How long does it take to finish this course?
With 44 lessons averaging about 11 minutes each, the full course is roughly 8 hours of study. Most students spread it across the semester. For exam-week review, use the Crash Course instead.
What if I can't see well, or use a screen reader?
Every lesson is built screen-reader friendly with proper headings, alt text on diagrams, and one-tap audio narration. WCAG 2.1 AA compliant. Use the Accessibility menu in the top bar to enlarge text, change contrast, switch to a dyslexia-friendly font, or have the page read aloud.
Do you have practice tests?
Yes — 8 AP-realistic MCQs at the bottom of every lesson, plus a full Mock Exam for this course. The mock matches the real exam's format (MCQ counts + FRQ patterns) and gives you a predicted score.