ADVANCED PLACEMENT MATHEMATICS - Preparing for the (AB)AP Calculus Examination

Sep 20, 2026

Advanced Placement Mathematics workbook preparing for the (AB)AP Calculus Examination. Includes six practice tests aligned with the College Board course description, emphasizing decision-making about when to use graphing calculators and requiring calculator use in specified parts. Provides expected calculator capabilities, explains free-response solution requirements, and outlines the exam structure by section and part with timing, breaks, and pacing guidance. Includes common student errors and directs students to use the answers and solution resources for review.

LanguageEnglish

CategoryExam

FormatPDF

Pages155

Reading Time6 h 31 min

AccessFree to download

Table of Contents

Section I Part A

Section I Part B

Section II Part A

# ADVANCED PLACEMENT MATHEMATICS PREPARING FOR THE(AB)AP CALCULUS EXAMINATION tangcnt linea+hbJuyd=lim IKAx+(×)Ay+K As+.+(Kx Atangceat tioa+hJ"x)ik e lim IAx+(x JA2+ix Ay,..+(×)A%I GEORGE W.BEST J.RICHARD LUX Copyright ◎2015 高 This workbook is intended for students preparing to take the Advanced Placement CalculusAB Examination.It contains six practice tests that are based on the course description publishedby the College Board.We have tried to make each of the six tests in this workbook as much likethe actual APExam as possible.For example,in the appropriate sections,there are questions thatrequire students to make decisions about whether to use the graphing calculator a lot,a little,or notat all.In order to provide a greater supply of this type problem,ourexams require the use of acalculator in about half the problems of Section I Part B,and all of Section II Part A. Each student is expected to have a graphing calculator that has the capability to: (1)produce the graph ofa function within an arbitrary viewing window, (2 find the zeros of a function, (3)compute the derivative of a function numerically,and (4)compute definite integrals. In the free-response sections,solutions obtained using one of these four capabilities needonly show the setup.Solutions using other calculator capabilities must show the mathematicalsteps that lead to the answer.In either case,a correct answer alone will not receive full credit. As in the AP Course Description for Mathematics,our examinations are in two sections ofequal weight.Section I is all multiple-choice and Section I is all free-response. 1.Section I Part A(28 questions in 55minutes).Calculators may not be used in this partofthe exam. 2.Section I Part B(17 questions in 50 minutes).Calculators are allowed. 3.Section II Part A(2questions in 30 minutes).Calculators are required 4.Section I Part B(4 questions in 60 minutes).Calculators may not be used and thestudent may go back to Part A if there is time. We have tried to create the problems in the spirit of calculus reform.Calculus reform impliesa change in the mode of instruction as well as increased focus on concepts and less attention tosymbolic manipulation;emphasis on modeling and applications;use of technology to explore anddeepen understanding of concepts;projects and cooperative learning.We have included questionswhere functions are defined graphically and numerically,as well as symbolically,in order to givethe students more practice in this type of analysis. We wish to thank the members of the Phillips Academy Mathematics Department for theirgenerous contributions ofideas,problems and advice.Their valuable assistance in testing theproblems in the classroom has made us quite confident about the validity of the exams.RobertClements of Phillips Exeter Academy provided excellent editorial assistance and insightfulcomments. In the hope of providing future students with a better workbook,the authors welcome yoursuggestions,corrections,problems of all sorts,and feedback in general.Please send yourcomments to: Venture Publishing9 Bartlet Street,Suite 55Andover,Ma 01810Phone/Fax 508-896-9486E-Mail gwbest@tiac.net nnnnΩ For The Student There are six examinations in this workbook.Use them as suggested by your teacher,but about two weeks prior to the AP Exam you should try to find a three hour and thirtyminute block of time to work through one entire exam.Each part of the exam should becarefully timed.Allow fifty-five minutes for Section I Part A,fifty minutes for Section IPart B,and ninety minutes for Section II.Take a ten minute break between Part A and PartB and also between Part B and Section II.This willgive you a good measure of the topicsthat need more intensive review as well as give you a feel for the energy and enthusiasmneeded on a three hour and fifteen minute exam.Repeat the above routine on a secondexam four or five days before the AP to check your progress. U The question

FAQs

What is the purpose of this workbook for students preparing for AP Calculus AB?

It provides six practice tests designed to closely match the actual AP Calculus AB exam format and question style. Students use the tests to build familiarity with decisions about calculator use and the exam’s pacing.

What graphing calculator capabilities are expected for the AP exam preparation in this workbook?

Students are expected to graph functions in a chosen viewing window, find zeros of a function, compute derivatives numerically, and compute definite integrals.

How should free-response solutions be handled when using calculator capabilities?

When using the four listed capabilities, solutions need only show the setup. If other calculator capabilities are used, solutions must show the mathematical steps leading to the answer, because a correct answer alone may not earn full credit.

Sep 20, 2026

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