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# Lagrange Error Bound and Accuracy (BC Calculus - Unit 10)

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11th - 12th, Higher Education
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Pages
9 + 21 slides
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1. Infinite Sequences & Series CALCULUS BC MEGA Bundle:This Calculus BC-MEGA Bundle of guided notes, homework, daily content quizzes, mid-unit and end-unit assessments, AP-Style assessments, review assignments, and cooperative activities covers the topics for INFINITE SEQUENCES & SERIES. The un
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2. AP Calculus BC 2nd Semester MEGA Bundle:This resource is a complete set of Guided Notes, homework, daily content quizzes and editable assessments for your AP Calculus BC students. There are five units aligned to AP College Board© CED Binder that cover the content with the rigor needed to prepare you
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### Description

Lagrange Error Bound and Accuracy Lesson:
Your AP Calculus BC students will use Taylor polynomials to estimate values of functions, measure the accuracy and error bound.

What is included in this resource?

⭐ Guided Student Notes

Fully-editable SMART Board® Slides

⭐ Homework/Practice assignment

⭐ Content quiz

⭐ Full solution set

Lesson Objective:

★ Use Taylor polynomials to estimate values of functions

★ Use Taylor’s Inequality to measure the accuracy of approximations.

★ Use alternating series error bound to bound the error of a Taylor approximation of a function.

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NOTE: This lesson has been updated to reflect the changes in the AP Calculus CED Binder .

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College Board® Topics:

Topic 10.10: Alternating Series Error Bound

Topic 10.12: Lagrange Error Bound

College Board® Learning Objectives:

LIM-7.B: Approximate the sum of a series. (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)

LIM-8.C: Determine the error bound associated with a Taylor polynomial approximation. (BC Only)

LIM-8.C.1: The Lagrange error bound can be used to determine a maximum interval for the error of a Taylor polynomial approximation to a function. (BC Only)

LIM-8.C.2: In some situations, the alternating series error bound can be used to bound the error of a Taylor polynomial approximation to the value of a function. (BC Only)

The unit includes the following topics:

7. Lagrange Error Bound and Accuracy

You may also be interested in:

Sequences & Series Essentials

Sequences & Series Assessments

Sequences & Series Homework

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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Total Pages
9 + 21 slides
Included
Teaching Duration
Lifelong tool
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