Alternating Series (BC Calculus – Unit 10)

Description

⭐⭐ This AP Calculus BC lesson provides you with a customizable and fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Alternating Series.⭐⭐

✅ Lesson 10.4 Alternating Series is a one-day lesson with an emphasis on Mathematical Practice 3 Justification.

3.D: Apply an appropriate mathematical definition, theorem, or test.

✅Learning Objective:

★ Use the Alternating Series Test for convergence

★ Use the Alternating Series Remainder to approximate the sum of an alternating series

★ Classify convergent series as either absolutely or conditionally convergent

★ Rearrange an infinite series to obtain a different sum

✅ College Board® Topics:

⭐ Topic 10.5: Harmonic Series and p-Series

⭐ Topic 10.6: Comparison Tests for Convergence

⭐ Topic 10.10: Alternating Series Error Bound

✅ What is included in this resource?

⭐ Guided Student Notes

⭐ Video Lesson Link for Flipped Classroom models

⭐ Google Slides®

⭐ Fully-editable SMART Board® Slides (You MUST have SMART Notebook software to open.)

⭐ Homework/Practice assignment

⭐ Daily Lesson Quiz (2 sets)

⭐ Full solution sets

⭐ Fully-editable PowerPoint Files (You MUST have PowerPoint to edit.)

✅ College Board® Learning Objectives:

⭐ LIM-7.A: Determine whether a series converges or diverges. (BC Only)

⭐ LIM-7.A.7: In addition to geometric series, common series of numbers include the harmonic series, the alternating harmonic series, and p-series. (BC Only)

⭐ LIM-7.A.8: The comparison test is a method to determine whether a series converges or diverges. (BC Only)

⭐ LIM-7.A.9: The limit comparison test is a method to determine whether a series converges or diverges. (BC Only)

⭐ LIM-7.B.1: If an alternating series converges by the alternating series test, then the alternating series error bound can be used to bound how far a partial sum is from the value of the infinite series. (BC Only)

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AP® is a registered trademark of the College Board® which was not involved in the creation of, and does not endorse this product.

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