College Board
AP® Calculus: Special Focus - Infinite Series
Read a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...
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Infinite Series
In this math worksheet, learners examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Discussion Sheet 10: Series
In this series worksheet, students use the absolute convergence test to determine numbers in a series and the interval of convergence. They list the first four terms in a series. This two-page worksheet contains approximately 30 problems.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
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Worksheet 10
In this math worksheet, they state the tests for convergence or divergence of a series. Then they show examples of series to which the tests could be applied.
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Worksheet 9 - Spring 1996
In this math worksheet, students state the tests for convergence or divergence of a series. Then they apply the tests of convergence and divergence.
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Worksheet 9
In this math worksheet, students test the concepts of divergence and convergence for each formula. Then they test the functions using the Ratio Test.
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Worksheet 10 - Spring 1996
In this math activity, students investigate how a series can apply the law of convergence. They also test the functions using convergence.
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Comparing Improper Integrals
In this math instructional activity, students compare the improper integrals. They determine if each integral converges or diverges. The improper integral test is read and applied.
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Worksheet 13
In this math worksheet, students define how for a given value of x, the series S(x) converges. Then they prove how convergence can be absolute.
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Worksheet 12 - Spring 1996
In this math worksheet, learners consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
College Board
2018 AP® Calculus BC Free-Response Questions
Don't just rely on the textbook. Released items from the AP Calculus BC provide pupils and teachers insight on how topics appear on the exam. The six items are divided into calculator and non-calculator sets with half of them also...
College Board
2017 AP® Calculus BC Free-Response Questions
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...
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...
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Worksheet 4 - function
In this function worksheet, students identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.
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Discussion Sheet 8
In this math activity, students apply the test for each series and determine if they converge or diverge. Students also find the exact value of the convergent 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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Discussion Sheet 9
For 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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Diagnostic Test: Angles & Parallel Lines
In this diagnostic test worksheet, students solve problems involving angles, parallel lines, and perpendicular lines. They identify alternate interior angles, alternate exterior angles, and corresponding angles. Students find the...
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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.
College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
Curated OER
Take-Home Midterm Exam #3
The University of Hawaii has published a vast collection of midterm and final exams for their Physics 152 course. This particular exam offers a variety of assessment methods, and covers the topic of electromagnetic radiation....
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O'Connor's Short Stories by Flannery O'Connor
After reading Flannery O'Connor's short stories, provide your high schoolers with these questions. You could use these to prompt higher level thinking for an upcoming test, or provide them as essay prompts.
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