Step-by-Step - Practice Problems for BC Calculus

Now you can give complete free-response problems starting
the first week of school (and all 53 of them are absolutely free!)

Does this describe you?

. You teach BC 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 infinite series, months before you even introduce the topic of series.

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 use L'Hopital's rule for finding limits without involving improper integrals. 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.

BC Step-by-Step remedies that situation. Similar to the AB version of Step-by-Step, this material is divided into 17 topics, based on the typical order that material is taught in BC Calculus. Those topics are further reduced into 7 months, from September to March, that places these topics loosely into the months that the material is typically taught. In this collection of 53 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 "Integration by Parts" without being concerned about "improper integrals" which is typically taught 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 53 problems is ABSOLUTELY FREE. No strings attached. You will find the links to download all 7-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 11 MB split into 6 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

 Download Practice Problems Download Solutions Paper Version* w/ Problems and Solutions Flash Drive* w/ Problems and Solutions Step-by-Step BC Solutions FREE! (see links below) \$44.95 \$54.95+\$6.00 shipping \$51.95+\$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 SbSBCCoverPage.pdf (304 KB) Description Suggestions on how to use Step-by-Step SbSBCDescription.pdf (368 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. SbSBCProblemAnalysis.pdf (236 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. SbSBCSample.pdf (264 KB) Student Version - Month 1: 7 Problems L'Hopital's Rule and Integration by Parts SbSBCStudentM1.pdf (736 KB) Student Version - Month 2: 7 Problems Integration w/Partial Fractions, Improper Integrals SbSBCStudentM2.pdf (400 KB) Student Version - Month 3: 7 Problems Euler's Method, Logistic Growth SbSBCStudentM3.pdf (704 KB) Student Version - Month 4: 7 Problems Arc Length, Parametric Functions SbSBCStudentM4.pdf (1444 KB) Student Version - Month 5: 7 Problems Vector Functions, Polar Curves SbSBCStudentM5.pdf (756 KB) Student Version - Month 6: 7 Problems Taylor Polynomials, Error Bounds SbSBCStudentM6.pdf (700 KB) Student Version - Month 7: 10 Problems Infinite Series - Convergence tests/intervals, Geometric, Harmonic Series, Series using e and trig, Alternating series, Conditional and Absolute convergence - NEW Manipulation of series SbSBCStudentM7.pdf (768 KB)

 Download Practice Problems Download Solutions Paper Version* w/ Problems and Solutions Flash Drive* w/ Problems and Solutions Step-by-Step BC Solutions FREE! (see links above) \$44.95 \$54.95+\$6.00 shipping \$51.95+\$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.