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.
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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
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CLICK HERE to see all purchase options in our Price List
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* 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
Cover Page |
Download Free
SbSABCoverPage.pdf
(1.5MB)
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Description
Suggestions on how to use Step-by-Step
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Download Free
SbSABDescription.pdf
(592 KB)
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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.
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Download Free
SbSABProblemAnalysis.pdf
(212 KB)
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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.
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Download Free
SbSABSample.pdf
(352 KB)
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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
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Download Free
SbSABStudentM1.pdf
(700 KB)
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Student Version - Month 2: 9 Problems
Chain rule, Horizontal & vertical tangents,
Derivatives with natural log and exponentials,
Continuity & differentiability
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Download Free
SbSABStudentM2.pdf
(688 KB)
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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
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Download Free
SbSABStudentM3.pdf
(3.1 MB)
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Student Version - Month 4: 13 Problems
Function analysis, Absolute extrema,
2nd Derivative test, Optimization
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Download Free
SbSABStudentM4.pdf
(1.2 MB)
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Student Version - Month 5: 9 Problems
Basic integrals, Integrals with substitution,
Integration with Trig, Computation of Riemann sums,
Trapezoidal Rule
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Download Free
SbSABStudentM5.pdf
(1.1 MB)
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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)
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Download Free
SbSABStudentM6.pdf
(1.3 MB)
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Student Version - Month 7: 14 Problems
Average value of a function, Straight line motion (Integrals), Derivatives with inverse trig, area and volume
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Download Free
SbSABStudentM7.pdf
(1.4 MB)
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Student Version - Month 8: 7 Problems
Slope fields / differential equations
Growth and Decay
L'Hospital's Rule - NEW
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Download Free
SbSABStudentM8.pdf
(724 KB)
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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.
team@MasterMathMentor.com
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