Built around the eight units that actually move your AP Calculus AB score.
AP Calculus AB hinges on three big ideas — limits, derivatives, and integrals — but the score breakdown is dominated by Units 4 and 5 (analytical applications of derivatives and contextual rates of change). Our coverage front-loads those units with worked examples drawn directly from released CB free-response prompts, so the first time you see 'a particle moves along the x-axis…' you've already done it twice.
Most students lose points on AP Calc AB not because they can't compute a derivative, but because they can't translate an English-language scenario into the right setup. Every interactive lesson here ends with a translation drill: a short word problem, the model setup, and a step-by-step rubric so you can self-grade against the AP scoring guide.
Master AP Calculus AB
Interactive lessons for all 8 units, diagnostic assessments, flashcards, daily questions, and competitive challenges — everything you need to score a 5.
Start here
Take the free AP Calculus AB diagnostic
It finds what you already know and builds your study plan: the topics to clear first, each a short lesson plus an exit quiz.
Take the free diagnosticInteractive Lessons
Step-by-step lessons covering limits, derivatives, integrals, and all AP Calc AB topics with practice problems.
Diagnostic Test
Quick assessment across all Calc AB topics to identify your strengths and weak areas with AP score prediction.
Unit Tests
Drill a single AP unit at a time. 8 units · 4 different variations each — perfect for end-of-unit review.
Flashcards
Review derivative rules, integral formulas, theorems, and key AP Calculus AB concepts.
Competitive Mode
Challenge other students in real-time calculus battles — derivatives, limits, and integrals.
Daily question
A fresh AP Calculus AB question every day covering different topics. Build consistency.
Exit Quizzes
Short assessments after each lesson to confirm understanding before moving on.
FRQ Practice
Practice free-response questions with auto-grading, rubrics, and timed exam simulation. 50% of the AP exam.
Full-Length Practice Exam
42 MCQs + 6 FRQs in the May 2027 format, modeled on the official CB exam. Calculator + no-calculator sections, timed, with self-graded rubrics.
What's Covered
Unit 1: Limits and Continuity
- Limits from Graphs, Tables & Algebra
- Squeeze Theorem
- Infinite Limits & Limits at Infinity
- Continuity & the IVT
Units 2–3: Differentiation
- Definition of the Derivative
- Power, Product, Quotient & Trig Rules
- Chain Rule
- Implicit Differentiation
- Inverse Function Derivatives
Units 4–5: Applications of Derivatives
- Motion & Related Rates
- Local Linearity & L’Hospital’s Rule
- Mean Value & Extreme Value Theorems
- Extrema, Concavity & Curve Sketching
- Optimization
Units 6–8: Integration, Differential Equations & Applications
- Riemann Sums & the Fundamental Theorem
- u-Substitution
- Slope Fields & Separable Equations
- Exponential Models
- Area Between Curves
- Volumes of Revolution
About the AP Calculus AB Exam
Format
- • Section I: 42 MCQs in 100 minutes
- • Part A: 29 no-calculator MCQs (62 min)
- • Part B: 13 graphing-calculator MCQs (38 min)
- • Section II: 6 FRQs in 90 minutes
- • Total exam time: 3 hours 10 minutes
Scoring
- • Score range: 1–5
- • 5 = Extremely well qualified
- • ~24% of students score a 5
- • No penalty for guessing
- • Most colleges accept 4+