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Calc AB · Progress Checks

AP Calculus AB Progress Check walkthroughs.

Unit-by-unit explanations of the MCQ and FRQ content on AP Classroom Progress Checks. Each unit page shows the topics tested, the most common student mistakes, and a tip from someone who scored a 5.

Updated July 2025 Written by Mahmudul Hasan Free · No signup
8 units

All units, expandable.

Click a unit to see MCQ topics, FRQ structure, common mistakes, and a tip from a student who scored a 5.

U01Limits and Continuity25 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Limit notation
  • One-sided limits
  • Continuity types
FRQ guidance
  • Algebraic limit manipulation
Common mistake
Mixing up removable vs. jump discontinuities.
Tip from a 5-scorer
Sketch the function before evaluating a limit.
U02Differentiation: Definition22 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Limit definition of f′
  • Tangent slopes
FRQ guidance
  • Justify differentiability via limits
Common mistake
Forgetting to check continuity before differentiability.
Tip from a 5-scorer
Use the limit definition once per problem set to stay fluent.
U03Differentiation: Composite28 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Chain rule
  • Implicit differentiation
  • Inverse functions
FRQ guidance
  • Multi-step chain rule with trig
Common mistake
Stopping the chain rule one level too early.
Tip from a 5-scorer
Underline each "inside" before differentiating.
U04Contextual Applications26 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Related rates
  • Linear approximation
FRQ guidance
  • Motion on a line
  • Related rates word problems
Common mistake
Plugging numbers in before differentiating.
Tip from a 5-scorer
Always label variables with units in related-rates setups.
U05Analytical Applications24 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Extrema
  • Concavity
  • MVT
FRQ guidance
  • Justifying extrema with sign analysis
Common mistake
Confusing local vs. absolute extrema in justifications.
Tip from a 5-scorer
On FRQs, always cite a theorem by name when justifying.
U06Integration & Accumulation30 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Riemann sums
  • FTC
  • u-substitution
FRQ guidance
  • Accumulation function problems
Common mistake
Dropping the dx or constant of integration.
Tip from a 5-scorer
Practice u-sub until it feels mechanical.
U07Differential Equations18 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Slope fields
  • Separation of variables
FRQ guidance
  • Solving for the particular solution
Common mistake
Losing the +C before applying initial conditions.
Tip from a 5-scorer
Sketch slope fields by hand — it builds intuition fast.
U08Applications of Integration20 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Average value
  • Area between curves
  • Volumes
FRQ guidance
  • Volume by disks/washers/shells
Common mistake
Forgetting to set up the right thickness variable for volumes.
Tip from a 5-scorer
Always sketch the region; never trust an exam diagram alone.
Make it count

Pair the walkthrough with the calculator.

Practice loop
Do a Progress Check. Score yourself. Adjust.

After each unit, plug your AP Classroom score breakdown into the calculator. You’ll see your trajectory in real numbers, not vibes.

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Frequently asked questions

Quick answers — written by humans, not a chatbot.

What's the difference between Calc AB Progress Checks and the real AP exam?

Progress Checks are unscaled — they’re unit-by-unit MCQ + FRQ practice that AP Classroom assigns. The real AP exam uses a curve to map your raw composite to a 1–5. The walkthroughs above explain the reasoning; the calculator estimates your exam score.

Should I do every Progress Check or skip around?

Do them in order the first time — each one builds on the last. If you’re reviewing in May, target the units where you’re weakest using the unit summaries above.

Why don't you publish exact answer keys?

AP Classroom assignments are graded as your own work. Posting raw keys would help cheaters and harm the students using Curve for actual studying. Our walkthroughs explain reasoning, not letter answers.

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