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Taylor Polynomials and Approximations (BC Calculus - Unit 10)

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11th - 12th, Higher Education
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10 + 28 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. This is an AP CALCULUS BC CURRICULUM MEGA BUNDLE 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.**********************************************************
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Description

Taylor Polynomials and Approximations Lesson:
Your AP Calculus BC students will find Taylor and Maclaurin polynomial approximations of functions.

What is included in this resource?

⭐ Guided Student Notes

Fully-editable SMART Board® Slides

⭐ Homework/Practice assignment

⭐ Content quiz

⭐ Full solution set

Lesson Objective:

★ Find polynomial approximations of functions and compare them with the elementary functions

★ Find Taylor and Maclaurin polynomial approximations of elementary functions

★ Use the remainder of a Taylor polynomial

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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 10.11: Finding Taylor Polynomial Approximations of Functions

College Board® Learning Objectives:

LIM-8.A: Represent a function at a point as a Taylor polynomial. (BC Only)

LIM-8.A.1: The coefficient of the nth degree term in a Taylor polynomial for a function f centered at x = a is (f^n (a))/(n! ).
(BC Only)

LIM-8.A.2: In many cases, as the degree of a Taylor polynomial increases, the nth degree polynomial will approach the original function over some interval. (BC Only)

LIM-8.B: Approximate function values using a Taylor polynomial. (BC Only)

LIM-8.B.1: Taylor polynomials for a function f centered at x = a can be used to approximate function values of f near
x = a. (BC Only)

The unit includes the following topics:

6. Taylor Polynomials and Approximations

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
10 + 28 Slides
Included
Teaching Duration
Lifelong tool
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