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Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
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Worksheet
Curated OER

Discussion Sheet 8

For Students 11th - Higher Ed
In this math worksheet, 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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Worksheet
Curated OER

Discussion Sheet 8

For Students 11th - Higher Ed
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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Worksheet
Curated OER

Discussion Sheet 7

For Students 11th - Higher Ed
In this math activity, students examine the sequences and determine if there is convergence or divergence present. They also apply the logic to the word problems.
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Worksheet
Curated OER

Discussion Sheet 9

For Students 11th - Higher Ed
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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Interactive
Curated OER

Twenty-Eight Multiple Choice No Calculator Allowed AP Calculus BC Practice Exam

For Students 12th - Higher Ed
In this AP Calculus BC practice exam, students solve twenty-eight multiple choice problems without the use of a calculator.  This learning exercise should be completed in fifty-five minutes.
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Worksheet
Curated OER

Twenty-Eight Multiple Choice AP Calculus BC Exam Preparation Questions

For Students 11th - Higher Ed
In this AP Calculus review worksheet, students solve twenty-eight multiple choice questions in preparation for the AP Calculus BC exam.
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Worksheet
Curated OER

P-Series Handout

For Students 12th - Higher Ed
In this calculus worksheet, students are given 3 short-answer problems regarding p-series, convergence, and estimating convergent p-series.
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Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 1)

For Students 11th - Higher Ed
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
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Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 3)

For Students 11th - Higher Ed
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
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Lesson Plan
Curated OER

Introduction to Limits

For Teachers 9th - 12th
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
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Worksheet
Curated OER

College Calculus

For Students Higher Ed
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...
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
In this Calculus worksheet, students are provided with problems of a similar nature to those on their exam.  Problems include limits, derivatives, and integrals.  The four page worksheet contains twenty-eight problems.  Answers are not...
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Interactive
Curated OER

Review of Calculus BC II

For Students 11th - 12th
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page interactive...
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Worksheet
Curated OER

Maximum and Minimum of Functions

For Students 10th - 12th
In this calculus learning exercise, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
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Lesson Plan
Curated OER

Newton's Method

For Teachers 9th - 12th Standards
Student approximate the roots of E using Newtons Method. In this calculus lesson, young scholars calculate the equation of tangent a line. They use the TI to visualize the tangent line.
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Lesson Plan
Curated OER

Sequences

For Teachers 9th - 12th Standards
Students solve problems using the TI. In this calculus lesson, students evaluate functions using sequences. They graph the functions on the TI and make observations.
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Worksheet
Curated OER

Basic Calculus II: Quiz 7

For Students Higher Ed
In this improper integrals worksheet, students explain the reasons each of three integrals may be considered improper. They evaluate each by determining if it converges to a number or diverges.
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Worksheet
Curated OER

Math 16C: Worksheet 11

For Students 12th - Higher Ed
In this calculus learning exercise, students answer 13 short-answer problems regarding number sequences, limits, convergence, divergence, polynomials and functions.
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Worksheet
Curated OER

Limit Comparison Test

For Students 11th
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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Worksheet
Curated OER

Worksheet 12

For Students 11th - Higher Ed
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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Worksheet
Curated OER

Power and Maclaurin Series

For Students 11th - 12th
For this calculus worksheet, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.
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Worksheet
Curated OER

Worksheet 14 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
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Worksheet
Curated OER

Basic Calculus II: Quiz 8

For Students Higher Ed
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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