Mistake Master
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AP Calculus AB

Free, misconception-targeted AP Calculus AB practice across the eight units of the AB course framework. Diagnose which reasoning errors are costing you points. Drill only those, with feedback after every question. Verify with unit-length cumulative exams.

AP Calculus AB is complete. Every one of the eight units carries a topic page, a full lesson, a ten-scenario skill check, a ten-item diagnostic, targeted drills keyed to the misconceptions that diagnostic finds, and a cumulative unit exam.

Practice

Diagnose, drill, verify

01 · Diagnose

Topic diagnostic

Short topic-level assessments built around documented calculus misconceptions. Each result routes you to the specific drills that fix what tripped you up.

02 · Drill

Targeted drills

One misconception at a time, multiple choice, varied scenarios, feedback after every question. Reached from your diagnostic result, so you only drill what actually broke.

03 · Verify

Cumulative MCQ

Unit-length exams that mirror the AP Calculus AB multiple-choice format, including the split between the no-calculator and calculator sections.

Reference

Resources and guides

By unit

The course at a glance

  1. Unit 1Limits and ContinuityOpen ›
  2. Unit 2Definition of the DerivativeOpen ›
  3. Unit 3Chain, Implicit, and InverseOpen ›
  4. Unit 4Contextual ApplicationsOpen ›
  5. Unit 5Analytical ApplicationsOpen ›
  6. Unit 6Integration and AccumulationOpen ›
  7. Unit 7Differential EquationsOpen ›
  8. Unit 8Applications of IntegrationOpen ›

Why not just do more problems?

Most calculus points are lost to a small set of predictable reasoning errors: treating a limit as the value of the function at that point, assuming continuity implies differentiability, forgetting the inner derivative in the chain rule, calling every critical point an extremum, and forgetting to convert the bounds after a substitution. Add dropping the constant of integration, reading a sign chart off f instead of f prime, and reporting the critical input when the question asked for the value.

If you hold a misconception, more practice with it intact reinforces it. The biggest score gains usually come from finding the two or three misconceptions that are costing you points and addressing them directly. That is what Mistake Master is built to do.