Easel by TpT
Seamlessly assign resources as digital activities

Learn how in 5 minutes with a tutorial resource. Try it Now  

Taylor Polynomials and Approximations (BC Calculus - Unit 10)

Jean Adams
Grade Levels
11th - 12th, Higher Education
Formats Included
  • Zip
10 + 28 Slides
Share this resource
Jean Adams

Also included in

  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
    Save $7.15
  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
    Save $32.97


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


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


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:

1. Series and Convergence

2. The Integral Test and p-Series

3. Comparison of Series

4. Alternating Series

5. Ratio and Root Tests

6. Taylor Polynomials and Approximations

7. Lagrange Error Bound and Accuracy

8. Power Series and Interval of Convergence

9. Taylor and Maclaurin Series

10. Representing Functions by Power Series

Click HERE to SAVE 20% by buying all INFINITE SEQUENCES & SERIES products, including cooperative activities, in the UNIT 10 MEGA BUNDLE.

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.



Remember to leave feedback and you will earn points toward FREE TPT purchases. I love that feedback!

Also, follow me to be notified about my new products, sales, updates, and FREEBIES!

If you have any questions, comments or special requests

please contact me by email at: jean@flamingomath.com

Thanks for shopping in my store!

Jean Adams

Total Pages
10 + 28 Slides
Answer Key
Teaching Duration
Lifelong tool
Report this Resource to TpT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TpT’s content guidelines.


Questions & Answers

Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials.

More About Us

Keep in Touch!

Sign Up