Step-by-Step - Practice Problems for AB® Calculus

Now you can give complete free-response problems starting
the first week of school (and all 76 of them are absolutely free!)

Does this describe you?

. You teach AB Calculus out of a

textbook, but like to use

supplementary sources.

. You try to give your students as much

practice as possible to prepare them

for the rigors of the AP® exam.

. You are frustrated trying to find problems to address your students' current skills because, despite the great wealth of sample exam questions available, most problems encompass the entire course rather than focus on individual topics.

If the above is true, you are not alone! It is difficult to find calculus problems that are relevant to the early topics in the course rather than ones that are global to the entire course. Many questions involve integration, months before you even introduce the topic of integration.

So you are forced to say to the students: "Here is an actual problem from an old AP exam with 5 parts: a, b, c, d, e. Just do parts a and b." There is a very limited number of released problems that, for example, test students only on their ability to take derivatives and find tangent lines. Early in the course, you want to give the students the experience of taking a full 9-point question and you cannot do so until much later in the course.

In Step-by-Step, the AP® curriculum is divided into 37 topics, based on the typical order that material is taught in AB Calculus. Those topics are further organized into 8 months, from September to April, which places them loosely into the months that they are typically taught. In this collection of 76 problems, available FREE OF CHARGE, you can test students on any topic using the standard 9-point structure without having to address topics that come later in the course. For example, you can give a problem that focuses on "function analysis" without being concerned about "average value of the function" which would involve integration and is typically taught much later in the course.

To get an in-depth idea of what Step-by-Step offers, I recommend you download our Step-by-Step Overview. This PDF file will outline all the topics and describe what each problem addresses.

Best of all, the student version of these 76 problems is ABSOLUTELY FREE. No strings attached. You will find the links to download all 8-months of problems at the bottom of this page.

SOLUTIONS

Detailed Step-by-Step solutions are available for purchase. The solutions are inserted directly under the problem sections so that you can see both the problem and solution at the same time. When you purchase the solutions, you may either download them (approximately 19 MB split into 9 PDF files) or have them mailed to you on a flash drive or paper format. The flash drive format (recommended) contains the student versions so you don't have to download them.

PURCHASE OPTIONS

Since you can purchase solutions to both the Demystify the Multiple Choice Exam and Demystify the Free Response Exam, in both AB and BC versions, there are many combinations available for purchase. Please look at them carefully.

 Download Practice Problems Download Solutions Paper Version* w/ Problems and Solutions Flash Drive* w/ Problems and Solutions Step-by-Step Solutions FREE! (see links below) \$57.95 \$69.95+\$6.00 shipping \$64.95+\$7.50 shipping CLICK HERE to see all purchase options in our Price List

* 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

 Cover Page SbSABCoverPage.pdf (1.5MB) Description Suggestions on how to use Step-by-Step SbSABDescription.pdf (592 KB) Problem Analysis Definitely download this. It analyzes every problem, tells you what concept(s) each emphasizes, gives you an idea about difficulty and whether calculators are allowed. SbSABProblemAnalysis.pdf (212 KB) Sample Problem and Solution This uses one of the problems from the collection and gives you an idea of what the grading rubric looks like. SbSABSample.pdf (352 KB) Student Version - Month 1: 6 Problems Limits, Average rate of change, Instantaneous rate of change, Derivatives with limits, Basic derivatives, Equations of tangent lines, Trig derivatives, Local linear approximation SbSABStudentM1.pdf (700 KB) Student Version - Month 2: 9 Problems Chain rule, Horizontal & vertical tangents, Derivatives with natural log and exponentials, Continuity & differentiability SbSABStudentM2.pdf (688 KB) Student Version - Month 3: 8 Problems Intermediate Value Thm., Rolle's & Mean Value Thm., Derivative of the inverse of a function, Related rates, Straight line motion with derivatives SbSABStudentM3.pdf (3.1 MB) Student Version - Month 4: 13 Problems Function analysis, Absolute extrema, 2nd Derivative test, Optimization SbSABStudentM4.pdf (1.2 MB) Student Version - Month 5: 9 Problems Basic integrals, Integrals with substitution, Integration with Trig, Computation of Riemann sums, Trapezoidal Rule SbSABStudentM5.pdf (1.1 MB) Student Version - Month 6: 10 Problems Accumulation function/Fundamental theorem, Integral of a rate of change to give accumulated change Derivative of accumulation function (2nd FTC) SbSABStudentM6.pdf (1.3 MB) Student Version - Month 7: 14 Problems Average value of a function, Straight line motion (Integrals), Derivatives with inverse trig, area and volume SbSABStudentM7.pdf (1.4 MB) Student Version - Month 8: 7 Problems Slope fields / differential equations Growth and Decay L'Hospital's Rule - NEW SbSABStudentM8.pdf (724 KB)

 Download Practice Problems Download Solutions Paper Version* w/ Problems and Solutions Flash Drive* w/ Problems and Solutions Step-by-Step Solutions FREE! (see links below) \$57.95 \$69.95+\$6.00 shipping \$64.95+\$7.50 shipping CLICK HERE to see all purchase options in our Price List

* 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.