BC Calculus Exams
This page provides FREE OF CHARGE a set of BC Calculus exams and quizzes as a resource for Teachers (see table below).
For purchase are:
BC Calc Exam Answers: Download
Full set of Answer Keys as a download. Only $49.95 |
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BC Calc Exams: Paper
Full set of Exams in printed form. Only $54.95 + shipping |
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BC Calc Exam Answers: Paper
Full set of Exam Answer Keys in printed form. Only $54.95 + shipping |
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OVERVIEW:
Over the years, I have developed many exams and of course, they change from time to time. I am not one of those teachers who allow the students to see their exams for just a few minutes. I believe that because they will be taking the A.P. exam, they need to have these exams from which to study.
My exams take several forms: quizzes, exams, and take-home exams. Quizzes and exams differ in terms of quantity of problems, time given, and point value. Take-home exams are what they seem to be – students are given the exam, take it home to complete, and bring it back the next day. I take a risk when giving such an exam – the risk being that students will talk about the problems and get help on problems they cannot do. Students are warned of the consequences of blatantly copying from someone else. But, between you and me, I am not tremendously upset if students end up talking and even arguing about problems. The fact that they are discussing calculus is, to me, a positive sign, and the point value of a take-home exam is not so great that it will dramatically improve the average of a student. I am fully aware of the dangers of a take-home exam but there is not way I can stop students from talking. I give these exams infrequently, mostly to gain a bit of time (an in-class exam takes up an entire day), but I also like to give students a way to raise their averages a bit.
I am one of those teachers who return exams immediately and students appreciate the quick feedback. I look at an exam as a learning experience and a way for them to gauge how well students have mastered information. Still, going over exams can take a great deal of time, time that is at a premium in an A.P. course. To that end, I give a solution key to the students for every exam. We will still go over problems that the class in general had trouble with but students are asked to compare their exams to the solution key to understand their errors. The solution key is just that – not just a set of answers but the process used to solve each problem.
Occasionally, I will give a practice test a day or two before in similar format to the actual exam. Students use this to determine whether or not they understand the material.
Whether or not I give a practice test, the quizzes and exams are quite similar to the manual the students have. There are few tricks nor problems asking students to be clever. I want the students to be able to do the basic problems in calculus, finding limits, derivatives, indefinite, and definite integrals as well as the basic applications of each. My course usually ends one month before the A.P. exam and we spend that month reviewing old released exams and many previous free response problems. It is during that times when we look at the “clever” concepts – the concepts that I rarely test during the school year. Students who have the basic concepts of calculus down do well with these difficult problems and do well in the A.P. exam as their scores indicate (see the About Us) page to view these scores.
You are free to use any or all of these exams. You are also free to white-out the website at the bottom of each page. You can come up with the answers yourself or purchase the full set of solutions yourself.
DOWNLOAD BC CALC EXAMS - FREE!
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Topic
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Content
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(file size: 233KB)
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Algebraic (linear only) problems where epsilon is given and delta is found. Non linear problems are done via calculator.
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(file size: 687 KB)
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BC Calculus involves some reviewing ate first. I combine transformations. Continuity, differentiability, basic limits with the major thrust – l’Hopital’s rule,
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(file size: 227 KB)
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Marginals are tested as well as Newton’s method (without calculator) and estimation with differentials.
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Left, right, midpoint rectangles are tested along with the trapezoidal rule and Simpson’s method.
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Given a piecewise curve, students are asked to find definite integrals between various values utilizing geometric formulas. Also, examine the accumulation function based on this graph. Answers included.
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Same as above
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Disk, washers, shells, arc length and surface area are tested.
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A 27-question multiple choice exam testing all concepts up through volume, arc length, and surface area
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Hard problems are hard for students so these are tested separately.
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This exam tests not only work but fluid force and center of mass.
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Same as above
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Much of this material is a review from AB calculus but it is vital that students be able to take derivatives and integrals using the ln function and exponentials.
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(file size: 381 KB)
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u-substitution, integration by parts, powers of sines and cosines, partial fractions and improper integrals are tested.
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Students must make and interpret slope fields, use Euler’s Method to estimate numerical solutions to DEQ’s and solve a logistic growth problem.
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Time to put all it all together with a big exam. This is a 37 question multiple choice exam testing all concepts through logistic growth. Two sections, one with calculator and one without.
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A small quiz testing knowledge of derivatives and integrals using inverse trig functions as well as finding the derivative of an inverse relation at a given point.
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Parametric equations, points of tangency, horizontal and vertical tangents, arc length and surface area of revolution.
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5 problems each having 4 variations is good for a take-home quiz on polar equations. Horizontal and vertical tangents, arc length, and surface area of revolution are tested. Calculators needed.
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Vector addition, dot products, vector-valued functions, derivatives and integrals and velocity and acceleration.
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4 problems asking students to generate Maclaurin or Taylor polynomial approximations of functions and determine the error in using such.
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Series is a big topic so I have a test that tests about half of it – convergence and divergence of sequences and series using some basic tests..
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This test convergence and divergence using all tests. Answers are included although there are more than one way to prove convergence of many of them.
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Same as above.
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BC Calc Exam Answers: Download
Full set of Answer Keys as a download. Only $49.95 |
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BC Calc Exams: Paper
Full set of Exams in printed form. Only $54.95 + shipping |
|
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BC Calc Exam Answers: Paper
Full set of Exam Answer Keys in printed form. Only $54.95 + shipping |
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