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AP Calculus AB · Cram chart

AP Calc AB cheat sheet: a unit-by-unit cram chart.

You cannot take this into the exam, and College Board gives AP Calculus AB no formula sheet, so the cram chart below is what you review the night before. It pairs each of the eight units with its weighting on the multiple-choice section, the one idea being tested, the tool you have to have memorized, and the mistake College Board itself names for that unit. For the unit-by-unit course guide and a study plan, see how to study for AP Calculus AB.

Updated September 2026 by Mahmudul HasanPart of AP Calculus AB Review

What an AP Calc AB cheat sheet is (and what you can bring)

On this page, “cheat sheet” means a revision aid rather than contraband: a short, high-yield summary of what each unit actually tests. College Board’s own list of what to leave outside the exam room names books, notebooks and notes, so nothing you write goes in with you. And because AP Calculus AB is not one of the nine subjects given printed reference information, no formula sheet is waiting for you either: you walk in with everything memorized.

The one tool you do get is a graphing calculator, and it is permitted on only two of the exam’s four parts: multiple-choice Part B and free-response Part A. You work the remaining two by hand.

What a chart like this adds to a bare formula list is context — what a unit is actually asking you to do, and the setup or notation slip that turns a correct calculation into a lost point.

Cheat sheet vs the formula sheet

They do different jobs. Our formula sheet page is the full list of derivatives, integrals and theorems you have to commit to memory, a list you need precisely because the exam hands you nothing. This cheat sheet is shorter and concept-first: it reminds you which tool each unit calls for, how much that unit is worth, and where students actually lose the points, which a raw formula list leaves out.

The unit-by-unit cram chart

Eight units. Every row gives you three things: what the unit is about, the tool you have to walk in knowing, and the mistake to avoid. The percentage beside each unit title is College Board’s published weighting for the multiple-choice section. College Board does not publish a per-unit weighting for the free response at all, so no row here claims one.

Two units share the top of that range: Unit 5 and Unit 6 are both 15–20%, tied rather than ranked. If you are short of time, those two are where the multiple choice concentrates, and Unit 3 and Unit 7 are the lightest at 5–10% each.

Unit 1: Limits and continuity 10–15%
Idea: how a function behaves near a point. Must-know: limit laws, one-sided limits, continuity, the Intermediate Value Theorem, and how limits explain an asymptote. Watch out: College Board’s own note for this unit is to confirm a theorem’s conditions hold before you use it, and to show that you checked. The everyday version: plugging in before simplifying a 0/0 form.
Unit 2: Differentiation, definition and properties 10–15%
Idea: the derivative is an instantaneous rate and a slope. Must-know: the limit definition, and the power, product and quotient rules. Watch out: College Board says a right number on its own earns nothing here: estimate a slope from a table and the difference quotient has to appear on the page. Also: reversing the order in the quotient rule.
Unit 3: Composite, implicit and inverse 5–10%
Idea: differentiate complicated and non-explicit functions. Must-know: the chain rule, differentiating implicitly, and inverse-function derivatives. Watch out: the error College Board names is not noticing that the chain rule applies, rather than misusing it, and losing track of the order when several rules stack. The everyday version: dropping the inside derivative.
Unit 4: Contextual applications 10–15%
Idea: derivatives as rates in real contexts. Must-know: motion in a straight line, related rates, linear approximations, and L’Hôpital’s rule. Watch out: College Board is explicit that you must show the limit really is an indeterminate form before you apply L’Hôpital’s rule, and that 0/0 and infinity over infinity are labels, not values you can set something equal to. Also: mislabeling units or the sign of velocity.
Unit 5: Analytical applications 15–20%
Idea: use derivatives to analyze a graph. Must-know: increasing and decreasing intervals, concavity and inflection, the Mean Value Theorem, critical points and the two derivative tests, and optimization. Watch out: College Board asks you to name the function you are arguing about: write f, f’ and f’’, not “it”, because a Reader cannot award a justification they cannot follow. Also: claiming an extremum without a sign analysis.
Unit 6: Integration and accumulation 15–20%
Idea: antiderivatives and accumulated change. Must-know: the Fundamental Theorem of Calculus, Riemann sums, u-substitution, and average value. Watch out: College Board wants the whole definite integral written out on a calculator question, limits of integration and differential included, and the constant of integration present on every indefinite one. Also: forgetting to change the bounds after substituting.
Unit 7: Differential equations 5–10%
Idea: equations that involve a derivative. Must-know: slope fields, separating the variables, and exponential growth and decay models. Watch out: College Board says failing to separate the variables, or leaving out the constant of integration, severely limits the points you can earn, and names a third mistake almost nobody publishes: assuming that any differential equation with a fraction in it must have a logarithmic solution.
Unit 8: Applications of integration 10–15%
Idea: integrals measure area and volume. Must-know: area between curves, and volumes by the disc method, the washer method, and known cross sections. Watch out: the confusion College Board names for this unit is average value against average rate of change — they answer different questions. Also: the wrong orientation in an area integral, or mis-squaring a radius.

Unit titles and weightings: AP Calculus AB and BC Course and Exam Description, PDF p.20 (printed 15) and p.204 (printed 199). Named student mistakes: the “Preparing for the AP Exam” section of each unit guide, PDF pp. 34, 56, 72, 84, 96, 114, 134 and 148 (printed 29, 51, 67, 79, 91, 109, 129 and 143).

Where students lose the most points

On the free response, most lost points are not the arithmetic: they are the justification. College Board weights its Justification practice at 35–60% of the free-response section against 10–20% of the multiple choice, while its Communication and Notation practice never appears in the multiple-choice section at all. Both of those live only where you have to write something down.

In practice that means Readers want a correct setup, proper notation including the differential and the limits of integration, and a reason for each conclusion stated in the context of the problem. A right answer with missing work or a bare number does not earn the point. Our AP Calculus AB FRQ guide works through the scoring question by question.

How to use the chart in your last week

Take the chart one unit at a time. Read a row, then work two or three problems from that unit. Grade yourself against the idea-tool-mistake row rather than the final answer, and check your setup and justification the way a Reader would.

Work down the chart by weighting if time is short. Close the gaps with the Progress Check answers by unit, keep the formula sheet open so the tools stay memorized, and run a practice raw score through the AP Calculus AB exam score calculator to see where it lands.

Frequently asked questions

Quick answers, checked against College Board.

Can I bring my own cheat sheet into the AP Calculus AB exam?

No. Notes of any kind, handwritten or printed, stay outside, and nothing is handed out on the day to replace them. Your only permitted aid is an approved graphing calculator. Use a sheet like this one in the week beforehand, so that by exam morning it is in your head rather than in your bag.

What is the difference between an AP Calc AB cheat sheet and a formula sheet?

A formula sheet lists the raw formulas. A cheat sheet adds what each unit is worth, the key idea, and the mistake College Board names for that unit, which makes it better for last-week review.

Which AP Calculus AB units are most important?

Two are tied for the top, not ranked: Unit 5 on analytical applications, and Unit 6 on integration, both carry 15–20% of the multiple-choice section. Neither outranks the other. The lightest are Unit 3 and Unit 7 at 5–10% each.

Does AP Calculus AB give you a formula sheet?

No. College Board publishes a list of the subjects whose students receive printed reference information on exam day, and AP Calculus is not on it. So every formula, theorem and test in the chart above has to come from memory, which is exactly why a last-week review sheet is worth building.

What is the best way to cram for AP Calculus AB?

Work one unit at a time, starting with the two heaviest. Review the cram row, then do two or three problems and check your setup and justification rather than just the final number, because that is where the free-response points actually sit.

Is AP Calculus AB hard?

It is one of the more demanding AP math courses, though the pass rate is healthier than its reputation suggests. Our AP Calculus AB difficulty guide gives an honest breakdown.

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