# Calculus: The Integral Test and p-Series

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This is the third lesson in a six-lesson unit on Sequences and Series for students enrolled in AP Calculus BC or Calculus 2.

Lesson Objective:

★ Understand the definition of both geometric series and p-series

★ Use the Integral Test to determine convergence and divergence of infinite series

★ Use properties of convergence for p-series and harmonic series

★ Test p-series for convergence

Every lesson includes:

✎ A set of Guided Student Notes

✎ A daily homework assignment

✎ Two forms of a daily homework quiz or exit ticket

✎ Teachers also have the benefit of a fully-editable SMART Board® Lesson for presentation and discussion.

College Board® Learning Objectives:

LO4.1A Determine whether a series converges or diverges

EK 4.1A3: Common series of numbers include geometric series, the harmonic series, and p-series

EK 4.1A4: A series may be absolutely convergent, conditionally convergent, or divergent

EK 4.1A5: If a series converges absolutely, then it converges

The unit includes the following topics:

3. The Integral Test and p-Series

4. The Integral Test

5. Comparison of Series

6. Alternating Series

The SMART Board lesson can be used in many ways.

Teachers can display the presentation using the following:

* SMART Board®

* Airliner Wireless Slate

* Through the SMART Notebook Express ®

* Other APPS available for Tablets

If you have any questions or comments

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Total Pages
10 pages
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Teaching Duration
45 minutes
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\$5.50