# Calculus: Representing Functions by Power Series

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1. This is the bundled unit for UNIT 10: MORE ON SERIES for AP Calculus BC topics.Each lesson provides:✎ A set of Guided Notes which is a full-sheet skeleton format of the lesson,✎ Teachers have a fully-editable SMART Board® presentation that matches set of Guided Notes.The bundle includes:★ Bonus: Sum
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2. This is an AP CALCULUS BC CURRICULUM for students enrolled in AP CALCULUS BC, or CALCULUS 2. The lessons and presentations are aligned to College Board® AP Standards. The lessons cover only the topics specific to AP Calculus BC.What is included in each unit lesson:✎ A set of Guided Notes which is a
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Product Description

This is the fourth lesson in a six-lesson unit on More on Series for students enrolled in AP Calculus BC, Calculus 2. There is also a BONUS Intro to Taylor Polynomials Exploration.

Lesson Objective:

★ Differentiate and integrate a power series

★ Find a geometric power series that represents a function

★ Construct a power series using series operations

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:

★ LO 4.2B: Write a power series representing a given function

★ EK 4.2B2: The Maclaurin series for sin(x), cos (x), and e^x provide the foundation for constructing the Maclaurin series for other functions

★ EK 4.2B5: A power series for a given function can be derived by various methods

★ EK 4.2B3: The Maclaurin series for 1/(1-x) is a geometric series

★ EK 4.2B4: A Taylor polynomial for f(x) is a partial sum of the Taylor series for f(x).

The unit includes the following topics:

4. Representing Functions by Power 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
8 pages
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Teaching Duration
55 minutes
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