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.

Start AP Calc AB Practice

Next action: start the practice set. The result will tell you whether to repeat, advance, or open FRQ scoring.

How this course works

Start here, score what happened, then let the result choose the next unit or parent update.

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

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

U1

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.

Companion proof: Complete one practice set for Limits and Continuity, then save a parent update that names the missed concept, the corrected move, and the next unit check.

U2

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.

Companion proof: Complete one practice set for Differentiation: Definition and Fundamental Properties, then save a parent update that names the missed concept, the corrected move, and the next unit check.

U3

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.

Companion proof: Complete one practice set for Differentiation: Composite, Implicit, and Inverse Functions, then save a parent update that names the missed concept, the corrected move, and the next unit check.

U4

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.

Companion proof: Complete one practice set for Contextual Applications of Differentiation, then save a parent update that names the missed concept, the corrected move, and the next unit check.

U5

18%

Analytical Applications of Differentiation

Forgetting endpoints when finding absolute extrema.

Next move

Build a derivative sign chart and write one justification sentence.

Companion proof: Complete one practice set for Analytical Applications of Differentiation, then save a parent update that names the missed concept, the corrected move, and the next unit check.

U6

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.

Companion proof: Complete one accumulation FRQ and highlight the setup, bounds, initial value, and unit sentence.

U7

12%

Differential Equations

Sketching a solution curve that ignores the slope field directions.

Next move

Match three slope-field segments to their signs.

Companion proof: Complete one practice set for Differential Equations, then save a parent update that names the missed concept, the corrected move, and the next unit check.

U8

15%

Applications of Integration

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

Next move

Draw the region before setting bounds.

Companion proof: Complete one practice set for Applications of Integration, then save a parent update that names the missed concept, the corrected move, and the next unit check.