AP Calculus AB Unit-Wise Practice Tests
Practice AP Calculus AB unit by unit with targeted tests for all 8 units — from Limits and Continuity through Applications of Integration. Build skills sequentially.
Master AP Calculus AB One Unit at a Time
AP Calculus AB is organized into eight carefully sequenced units, each building directly on the concepts introduced before it. GradePerfect's unit-wise practice tests let you isolate each topic, identify gaps, and strengthen your foundation before moving forward. Whether you are just beginning with limits or refining your integration techniques, targeted unit practice is the most efficient path to AP exam readiness.
Why Sequential Unit Mastery Matters in Calculus
Calculus is a cumulative subject in a way few AP courses are. A shaky understanding of limits will undermine your grasp of the derivative definition. Weak differentiation skills make integration and its applications far harder. Skipping ahead without mastering earlier units creates compounding gaps that are difficult to recover from close to exam time. Working through units in order — and testing yourself at each stage — ensures every new concept has a solid foundation beneath it.
All 8 AP Calculus AB Units Covered
- Unit 1: Limits and Continuity — The conceptual foundation of calculus. Covers evaluating limits, continuity, and the Intermediate Value Theorem.
- Unit 2: Differentiation — Definition and Fundamental Properties — Average and instantaneous rates of change, the limit definition of the derivative, and core differentiation rules.
- Unit 3: Differentiation — Composite, Implicit, and Inverse Functions — Chain rule, implicit differentiation, and derivatives of inverse and inverse trig functions.
- Unit 4: Contextual Applications of Differentiation — Related rates, linear approximation, L'Hôpital's Rule, and motion along a line.
- Unit 5: Analytical Applications of Differentiation — Mean Value Theorem, curve sketching, optimization, and concavity analysis.
- Unit 6: Integration and Accumulation of Change — Riemann sums, the Fundamental Theorem of Calculus, antiderivatives, and u-substitution.
- Unit 7: Differential Equations — Slope fields, separable equations, Euler's method, and exponential growth and decay.
- Unit 8: Applications of Integration — Average value, area between curves, disc and washer volumes, and motion problems.
How to Use Unit-Wise Tests Effectively
After studying each unit, take the corresponding practice test under timed conditions. Review every incorrect answer by tracing it back to the specific concept or rule you missed. Use your results to decide whether to revisit a unit before advancing or to continue building forward. Unit-wise tests are also valuable for targeted review in the weeks before the AP exam, allowing you to zero in on your weakest areas rather than re-reading everything from scratch.