Demystifying the AB Calculus
Free Response Exam (Revised)

 

 

The story is always the same: A teacher has covered the entire AP Calculus AB curriculum and feels good that he or she has addressed the entire gamut of problem types.  Yet, when the students look at the actual free-response questions in the exam, they wonder "when was that taught?" and "did we ever do a problem like that?" Frequently, these students are befuddled, especially when they haven't spent a lot of time reviewing past AP released exams.

 

With that concept in mind, this guide will cover a good many topics that research has shown to have been part of most Advanced Placement Calculus AB free-response questions in the past 25 years. I first look at them as separate entities, and then quickly see how they are incorporated into an actual AP test type problem. Finally, several of these topics are put together to mimic what students will see in the actual AP Calculus AB Exam.  Best of all, it is all FREE!

 

Using this 57-page manual, students will become skilled at the types of problems that typically have been on AP Calculus AB Exams for the past 20 years. There are 94 examples, most having subparts that are similar to AP free response problems. Students will learn to recognize the multifaceted nature of complex problems and how to approach the challenge. This guide will provide an in-depth level of understanding so that students do not spend time in the actual AP Exam scratching their heads!

 

REVISED FOR 2017 AP EXAM

 

This material includes L'Hospital's rule, which is new to the 2017 AP exam.

 

FREE STUDENT VERSIONS

 

You may download any or all of the material below FREE OF CHARGE. Topics are combined and you can download them all in 4 downloads. They are only about 7 megs total in size. 

 

SOLUTIONS

 

Detailed solutions are available for purchase. The solutions are inserted right under the problem so that you can see the problem and solution at the same time.  You may either download the solutions (approximately 12 MB split into 4 PDF files) or have them mailed to you in paper format. If you purchase it in combination with Demystifying the AB Exam Multiple-Choice version, it is also available on flash drive. In that format, you also get the student versions as well as our new publication 4 AP Calculus Practice Exams

 

 

Purchase Options Download

Paper

Version*

 

Purchase Demystifying the

AB Calculus Free Response Exam -
Solution Manual!

 

$39.95

$54.95
+$5 shipping

 

Purchase Demystifying the

AB Calculus Free Response Exam - Student Manual

(does not include solutions)

 

FREE!
(See links listed below)

$29.95
+$5 shipping


To purchase other combinations or options at a DISCOUNTED PRICE:

 

  • AB Free Response (FR) and Multiple Choice (MC) combination
  • AB & BC Calculus FR & MC combination
  • or to order a Flash Drive with your materials

 

Please see our full price list.  Click here.

 

 

    * Paper version is for those who would rather not download and print

       - Paper version and flash drive orders will be mailed within 1 to 2 days

 

 

FREE DOWNLOADS

 

Opening Pages

File: DemystABFROpeningPages.pdf 

Download
Free

A. Limits

B. Horizontal Asymptotes

C. Rates of Change

D. Equation of a Tangent Line

E. Local Linear Approximation

F. Continuity and Differentiability

G. Intermediate/Mean Value Theorems

H. Horizontal and Vertical Tangents

I. Related Rates

File: DemystABFRStudA-I.pdf 

Download
Free

J. Straight-Line Motion - Derivatives

K. Function Analysis

L. Second Derivative Test

M. Absolute Extrema

N. L'Hospital's Rule

O. Derivative of the Inverse of a Function

P. Computation of Riemann Sums

Q. Accumulation Function/Fundamental
     Theorem (FTC)

File: DemystABFRStudJ-Q.pdf 

Download
Free

R. Integral of a rate of change

S. Derivative of Accumulation Function  (2nd FTC)

T. Average Value of a Function

U. Straight-Line Motion - Integrals

V. Area and Volume

W. Differential Equations and Growth Problems

File: DemystABFRStudR-W.pdf 

Download
Free

 

 

 

Purchase Options Download

Paper

Version*

 

Purchase Demystifying the

AB Calculus Free Response Exam -
Solution Manual!

 

$39.95

$54.95
+$5 shipping

 

Purchase Demystifying the

AB Calculus Free Response Exam - Student Manual

(does not include solutions)

 

FREE!
(See links listed below)

$29.95
+$5 shipping


To purchase other combinations or options at a DISCOUNTED PRICE:
 

  • AB Free Response (FR) and Multiple Choice (MC) combination
  • AB & BC Calculus FR & MC combination
  • or to order a Flash Drive with your materials

 

Please see our full price list.  Click here.

 

 

    * Paper version is for those who would rather not download and print

       - Paper version and flash drive orders will be mailed within 1 to 2 days

 

 

 

PURCHASE ORDERS

 

We will accept purchase orders. Secure a P.O. from your school, complete the information as to what you wish to order, and email us and we will give you instructions for where to send it. Upon receipt, we will immediately send you your material.

 

    team@MasterMathMentor.com