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Calc BC · Progress Checks

AP Calculus BC 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
10 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 Continuity24 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Limit notation
  • Indeterminate forms
  • L’Hôpital
FRQ guidance
  • Algebraic limit manipulation
Common mistake
Skipping the indeterminate-form check before L’H.
Tip from a 5-scorer
Always confirm 0/0 or ∞/∞ before applying L’Hôpital.
U02Differentiation: Definition22 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Chain rule
  • Implicit
  • Inverse
FRQ guidance
  • Differentiability justification
Common mistake
Conflating differentiability with continuity.
Tip from a 5-scorer
Differentiable ⇒ continuous; not the reverse.
U03Differentiation: Composite26 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Higher derivatives
  • Related rates
  • Linear approximation
FRQ guidance
  • Linearization for estimation
Common mistake
Forgetting to plug in the value AFTER differentiating.
Tip from a 5-scorer
Take derivative → plug in. Not the other way around.
U04Contextual Applications26 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Motion
  • Related rates
FRQ guidance
  • Particle motion FRQ
Common mistake
Confusing position, velocity, and acceleration signs.
Tip from a 5-scorer
Pos = where, vel = speed/direction, accel = vel changing.
U05Analytical Applications24 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Extrema
  • MVT
  • Concavity
FRQ guidance
  • Justifying extrema
Common mistake
Forgetting to state the theorem when justifying.
Tip from a 5-scorer
Justify with MVT or IVT by name on FRQs.
U06Integration and Accumulation30 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • FTC
  • u-sub
  • Integration by parts
FRQ guidance
  • Accumulation function FRQ
Common mistake
Dropping the +C or the dx.
Tip from a 5-scorer
Always end indefinite integrals with +C.
U07Differential Equations20 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Slope fields
  • Separation
  • Euler’s method
FRQ guidance
  • Particular solution
Common mistake
Forgetting initial condition.
Tip from a 5-scorer
Use IC to solve for C right after integrating.
U08Applications of Integration22 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Areas
  • Volumes
  • Arc length
FRQ guidance
  • Volume by disks/washers
Common mistake
Wrong axis of rotation orientation.
Tip from a 5-scorer
Sketch the region; identify the axis explicitly.
U09Parametric, Polar, Vector18 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Parametric
  • Polar
  • Vectors
FRQ guidance
  • Polar area FRQ
Common mistake
Using ∫ f dx instead of ½ ∫ r² dθ for polar.
Tip from a 5-scorer
Polar area is ½ ∫ r² dθ. Memorize the half.
U10Infinite Series24 questions covered · MCQ + FRQ walkthroughs
MCQ guidance
  • Convergence tests
  • Power series
  • Taylor
FRQ guidance
  • Lagrange error bound
Common mistake
Picking the wrong convergence test.
Tip from a 5-scorer
Memorize the decision tree: nth-term, geometric, p-series, comparison, ratio, integral.
Make it count

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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 BC 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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