AP Calculus AB
College Board · 8 units · exam-weighted · high school
AP Calculus AB: every unit with its share of the exam, as College Board publishes it, with practice questions per unit and a countdown to the exam.
Set up AP Calculus AB → One set per unit. Free, no account needed.
Units and exam weighting
- Unit 1: Limits and Continuity 10–12% of the exam
Limits from graphs, tables and algebra; limit laws; squeeze theorem; continuity; removable and jump discontinuities; infinite limits and asymptotes; Intermediate Value Theorem. - Unit 2: Differentiation: Definition and Fundamental Properties 10–12% of the exam
Average versus instantaneous rate of change, the limit definition of the derivative, differentiability and continuity, power, product and quotient rules, derivatives of trig, exponential and log functions. - Unit 3: Differentiation: Composite, Implicit, and Inverse Functions 9–13% of the exam
Chain rule, implicit differentiation, derivatives of inverse functions and inverse trig functions, higher-order derivatives. - Unit 4: Contextual Applications of Differentiation 10–15% of the exam
Motion along a line, rates of change in context, related rates, linearisation and approximation, L'Hospital's rule. - Unit 5: Analytical Applications of Differentiation 15–18% of the exam
Mean Value Theorem, extreme values, increasing and decreasing intervals, first and second derivative tests, concavity, curve sketching, optimisation, implicit relations. - Unit 6: Integration and Accumulation of Change 17–20% of the exam
Riemann sums and the definite integral, accumulation functions, the Fundamental Theorem of Calculus, antiderivatives, integration by substitution, integrating with long division and completing the square. - Unit 7: Differential Equations 6–12% of the exam
Modelling with differential equations, verifying solutions, slope fields, separation of variables, exponential models. - Unit 8: Applications of Integration 10–15% of the exam
Average value of a function, motion problems, accumulation in context, area between curves, volumes by cross-sections and by discs and washers.
How it works
Choosing this curriculum creates a course in Chalkset with one study set per unit and the exam date set to the start of the next testing window. Readiness is weighted the way the exam is, so a weak unit that carries 18% of the score pulls harder than one that carries 6%. Questions for each unit are written by the agent when you open it, from the published objectives.