Here are the task verbs you’ll see on the exam:
Each one directs you to complete a specific type of response. Pay close attention to the task verbs used in the free-response questions. Free-response questions and scoring guidelines are available on the Exam Preparation section of the Exam page for AP Calculus AB. Practice!Īnswering free-response questions from previous AP Exams is a great way to practice: it allows you to compare your own responses with those that have already been evaluated and scored. Store partial answers in your calculator so that you can use them unrounded in further calculations. Simply saying that the second derivative equals zero or is undefined is not a justification. When asked to justify or to explain an answer, think about how that can be done.įor example, if you are asked to justify a point of inflection, you need to show that the sign of the second derivative changes. Be sure to express your answer in correct units if units are given and always provide a justification when it is asked for. Be sure to fully answer the question being asked.įor example, if a question asks for the maximum value of a function, do not stop after finding the x-value at which the maximum value occurs.
Ap calculus ab 2003 free response full#
If the answer to a later part of a question depends on the answer to an earlier part, you may still be able to receive full credit for the later part, even if that earlier answer is wrong. For example, you may receive no credit for your answer to part (a), but still receive full credit for part (b), (c), or (d). Credit for each part is awarded independently, so you should attempt to solve each part. Many free-response questions are divided into parts such as (a), (b), (c), and (d), with each part calling for a different response. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.Unless otherwise specified, your final answers should be accurate to 3 places after the decimal point. If you use decimal approximations in calculations, your work will be scored on accuracy. Unless otherwise specified, answers (numeric or algebraic) need not be simplified.fnInt(X2,X,1,5)), as calculator syntax is not acceptable. ∫𝑥2𝑑𝑥51) rather than calculator syntax (e.g. Remember to write your work in standard notation (e.g. If you use your calculator to solve an equation, compute a numerical derivative, or find a definite integral, then be sure to write the equation, derivative, or integral first: an answer without this information might not get full credit, even if the answer is correct. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Answers without supporting work will usually not receive credit.Ĭlearly label any functions, graphs, tables, or other objects that you use.
Ap calculus ab 2003 free response how to#
The exam reader wants to see if you know how to solve the problem. Show all the steps you took to reach your solution on questions involving calculations, even if a question may not explicitly remind you to do so. Show your work, even when you’re using a calculator. If you do work that you think is incorrect, simply put an “X” through it instead of spending time erasing it completely: crossed-out work won’t be graded. You may want to look over all the questions as you begin each part of the free-response section before starting work.ĭuring the second timed portion of the free-response section (Part B), you are permitted to continue work on problems in Part A, but you are not permitted to use a calculator during this time. Make sure not to spend too much time on any one question so you’ll have enough time to answer all of them. The following strategies for answering the free-response questions will help you on exam day.
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