AP Calc BC cheat sheet: a unit-by-unit cram chart.
A cheat sheet that goes beyond a plain formula list: for each of the ten units, the key idea, the must-know tool, and the mistake that costs students points. Use it in your final week — but not in the exam itself, since you cannot bring notes and no formula sheet is provided. The full AP Calc BC exam guide covers the format, scoring and a study plan.
The AP Calc BC cheat sheet, unit by unit
Ten units, each boiled down to the idea, the must-know tool, and the trap to dodge. Integration and accumulation (Unit 6) and infinite sequences and series (Unit 10) are the heaviest at 15–20% each, and Units 9 and 10 are the two AB never covers. Weightings are College Board’s own published exam weightings.
Unit 1 — Limits & continuity (5–10%)
Unit 2 — Differentiation: definition & properties (5–10%)
Unit 3 — Composite, implicit & inverse (5–10%)
Unit 4 — Contextual applications (5–10%)
Unit 5 — Analytical applications (10–15%)
Unit 6 — Integration & accumulation (15–20%)
Unit 7 — Differential equations (5–10%)
Unit 8 — Applications of integration (5–10%)
Unit 9 — Parametric, polar & vector (10–15% · BC only)
Unit 10 — Infinite sequences & series (15–20% · BC only)
Download this cram chart as a one-page PDF44 KB · prints on one sheet · all ten units
What to memorise first
Everything on this page has to be in your head on exam day, but not all of it is worth the same. Work down in this order.
The series toolkit first. Unit 10 is 15–20% of the exam and there is always a series question on the free response. Know which convergence test to reach for, the Taylor and Maclaurin expansions, and the Lagrange error bound. This is the single highest-yield block on the exam.
Then the BC-only integration techniques — integration by parts, partial fractions and improper integrals. They sit inside Unit 6, the joint-heaviest unit, and they are the part of it that AB students never learn.
Then parametric and polar. Unit 9 is 10–15% and the formulas are few but easy to confuse, especially the ½ in polar area.
The AB-shared material in Units 1–5 matters too, but by BC you have usually drilled it for a year. If your time is short, spend it on the three blocks above.
Where students lose the most points
On the free response, most points are lost to justification and notation rather than to arithmetic. Partial credit is real: graders award it for correct setup, proper notation (including dx and the limits of integration), naming the right convergence test on a series question, and giving a reason for each conclusion. A right answer with no working, or a bare number, rarely earns full marks. Our AP Calculus BC FRQ guide breaks down how each free-response question is scored.
How to use this in your last week
Read one unit of the cram chart, then do two or three problems from it. Grade yourself against that unit’s Idea, Must-know and Watch out row. Check the setup and the justification, not just whether the final number matched.
Give series and the parametric/polar unit extra reps, since they are BC-specific and heavily weighted. Close the gaps with the AP Classroom AP Calculus BC Progress Check answers, keep the formula sheet open so the tools stay memorised, and check a practice raw score with the AP Calc BC calculator.
Cheat sheet vs the formula sheet
They do different jobs. The AP Calculus BC formula sheet is the full list of derivatives, integrals, series and theorems you have to memorise. This cheat sheet is shorter and concept-first: it reminds you which tool each unit calls for and where students go wrong, which a raw formula list leaves out.
What you can and cannot bring
A cheat sheet here means a condensed, high-yield study tool, not something you take into the exam. You cannot bring notes. And because College Board provides no formula sheet for AP Calculus either, you walk in with everything memorised, including the series toolkit.
The one tool you do get is a graphing calculator, and only on Part B of the multiple choice and Part A of the free response. That can be your own approved handheld or the Desmos graphing calculator built into Bluebook, which College Board makes available on the calculator-required parts. Think of this page as what you review the night before.
Frequently asked questions
Common questions about cramming for BC.
Can I bring a cheat sheet into the AP Calculus BC exam?
No. You cannot bring notes, and College Board provides no formula sheet either — everything must be memorised. A cheat sheet like this one is for review beforehand.
What is the difference between an AP Calculus BC cheat sheet and a formula sheet?
A formula sheet lists the raw formulas. A cheat sheet adds the key idea and the common mistake for each unit, so it is better for last-week revision than for looking a formula up.
Which AP Calculus BC units are most important?
Integration and accumulation (Unit 6) and infinite sequences and series (Unit 10) carry the most weight, at 15–20% each. Series is what most defines BC.
What should I memorise first for AP Calculus BC?
Start with the series toolkit — the convergence tests, Taylor and Maclaurin series, and the Lagrange error bound — then the BC-only integration techniques, then parametric and polar. Those carry the most marks and are the parts AB never covered.
What is the best way to cram for AP Calculus BC?
Work one unit at a time, giving series and the parametric/polar unit extra reps, and check your setup and justification rather than only the final number.
What percent is a 5 on the AP Calculus BC exam?
There is no fixed percentage. College Board rescales the raw-to-1–5 conversion every year, so the cut-off moves. Run a practice raw score through our AP Calculus BC score calculator to see roughly where it lands.
Is AP Calculus BC harder than other AP classes?
It covers more than AB — series, parametric, polar and extra integration techniques — but it is consistently one of the highest-scoring AP exams, which partly reflects a strong, self-selecting cohort rather than an easy paper.