AP Calculus AB Sprint

Turn calculus work into clean AP points.

AP Calculus AB students often know a rule but lose points when the prompt asks them to set up the expression, justify a derivative sign, interpret an integral, or explain units. This sprint makes the next move obvious: identify the representation, choose the calculus tool, show the work, then interpret the result.

Readiness

100%

High-yield units

U4, U5, U6, U8

FRQ types

Graph Analysis, Rate Accumulation, Differential Equation

Start AP Calc AB Practice Score AP Calc AB FRQ

What happens next

Run a short calculator and no-calculator set across the eight AB units.
Score the missing move: setup, method, notation, justification, or interpretation.
Save the update so the parent sees the calculus skill that actually changed.

This module helps students repair limit, derivative, integral, and FRQ interpretation leaks. Own AP Calculus AB repair: turn a weak graph, rate, derivative, or accumulation move into scored setup, clean work, justification, and parent-readable proof.

First scored move

Continuity and Limit Reasoning

A piecewise function g has one formula for x < 2 and another formula for x >= 2. The left-hand limit at x = 2 is 5, and g(2) = 7. Explain whether g is continuous at x = 2 and identify what must change to make g continuous there.

States not continuous

Names the limit-value mismatch

References two-sided limit behavior

Identifies the needed function value

Explains the continuity condition

56 AP Calc AB simulator questions plus 8 FRQ prompts are live.

Unit map

12%

Limits and Continuity

Using f(a) as the limit when the nearby behavior says otherwise.

Next move

Read one graph/table limit aloud before calculating.

12%

Differentiation: Definition and Fundamental Properties

Treating average rate and instantaneous rate as interchangeable.

Next move

Translate one derivative value into a full rate sentence with units.

13%

Differentiation: Composite, Implicit, and Inverse Functions

Applying the chain rule to the outside but forgetting the inside derivative.

Next move

Circle inner functions before differentiating.

15%

Contextual Applications of Differentiation

Finding a number without saying whether the object is speeding up, slowing down, or changing direction.

Next move

Complete two motion FRQ parts with sign interpretation.

18%

Analytical Applications of Differentiation

Forgetting endpoints when finding absolute extrema.

Next move

Build a derivative sign chart and write one justification sentence.

20%

Integration and Accumulation of Change

Using area as total change without checking signs.

Next move

Write one integral as a sentence about accumulated change.

12%

Differential Equations

Sketching a solution curve that ignores the slope field directions.

Next move

Match three slope-field segments to their signs.

15%

Applications of Integration

Using top minus bottom or outer minus inner without checking the interval.

Next move

Draw the region before setting bounds.