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AP Calculus Practice Exam: BC Version - Part A
In this calculus activity, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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Discussion Sheet 8
In this math learning exercise, students examine the series and determine if they converge or diverge. They also find the interval of convergence for each power series.
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Questions over Chapter 12: Calculus and Analytic Geometry
In this calculus question worksheet, students read calculus questions by their peers. The students attempt to teach each other by answering the written questions. Questions cover limits, test for convergence, approximation, interval of...
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The Integral Test
In this integral test, students determine the limits, give partial sums of infinite series, explore geometric series, and use the Integral Test to determine if a function converges. This two-page worksheet contains six multi-step problems.
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Discussion Sheet 9
In this math worksheet, students determine the convergence and divergence for each series using the test that is indicated. They also compute the partial sum and determine the error.
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Integration Review
In this algebra worksheet, 11th graders solve a series and identify if the series will diverge or converge based on n equals. There are 5 questions.
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Math 16C: Worksheet 11
In this calculus activity, students answer 13 short-answer problems regarding number sequences, limits, convergence, divergence, polynomials and functions.
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Limit Comparison Test
In this calculus learning exercise, 11th graders solve 7 problems where they determine the convergence and divergence properties using the limit comparison test.
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College Calculus
In this college level Calculus learning exercise, students examine sequences to determine if they are increasing, decreasing, or non monotonic. Students find the sum of series and determine if they diverge. The one page learning...
CK-12 Foundation
Contact Lens
How do contact lenses work? The simulation allows young scientists to explore focal length and lens type to see how and why contact lenses work. Pupils control the focal length for an eye and a lens, the type of lens, and the distance...
Georgia Aquarium
The Ocean's Nursery
Linear perspective, estuaries, and water ways converge in a science-inspired art project. The class uses what they've learned about eco-systems, estuaries, and the food chain to create scale models of a local marsh. While the lesson is...
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Series Review VI
In this college level calculus worksheet, students use the ratio test to determine if a seriesconverges or diverges. The two page worksheet contains six practice problems. Answers are not included.
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Worksheet 12
In this math activity, students state the Alternating Series Test and give an example of it. They also write down an alternating series which does not converge.
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Matter and Motion
In this matter and motion worksheet, students solve 4 different problems that relate to determining the matter and motion of a function problem. First, they find the limit of a as n to infinity and then, determine whether each series...
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Basic Calculus II: Quiz 8
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...
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Comparison Test
In this comparison test worksheet, students use the comparison test or the limit comparison test to determine if a series is convergent or divergent. They give examples of a series. This two-page worksheet contains seven multiple...
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Summary Worksheet: Sequences
In this sequence worksheet, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use the...
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Worksheet 11 - Intervals
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
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It's Going to Blow Up!
Get your ocean explorers online, reading articles about submarine volcanoes. They answer a series of questions and take a geometery challenge in which they calculate how much of a volcano has been blown away. Make sure to explore several...
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Worksheet 17
In this math worksheet, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.
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Ratio Test
For this college level Calculus worksheet, students use the ratio test to determine if a series converges or diverges. The one page worksheet contains six problems. Solutions are not provided.
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BC Series 1 - Derivatives
In this function worksheet, young scholars find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
College Board
2016 AP® Calculus BC Free-Response Questions
The split is 50-50. Released free-response questions from the 2016 AP Calculus BC show that half the questions are from the AB portion of the course and the others are from the BC portion. Teachers and pupils use the items to prepare and...
College Board
2014 AP® Calculus BC Free-Response Questions
How much of the material is really important? Pupils use the free-response questions from the 2014 AP Calculus BC exam to see how the questions appear. With the supporting material, teachers understand the topics that appear on the test...