# Taylor Series Teacher Resources

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#### Taylor Series | Essence of Calculus, Chapter 10

Sometimes close enough is just perfect. The last video in a series of 11 explores the Taylor series and its connection to derivatives. It shows the process for finding Taylor series approximations for y = sin x and for y = e^x.

Texas Instruments

#### Convergence of Taylor Series

Students analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series.

Curated OER

#### Taylor Series: Natural Number

In this calculus worksheet, students apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.

Curated OER

#### Taylor Series

In this calculus worksheet, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.

Curated OER

#### Introduction to Taylor Series

In this Taylor Series worksheet, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page worksheet contains four multi-step problems.

Curated OER

#### Introduction to Taylor Series

In this Taylor series activity, students determine the difference between a Taylor series and a Taylor polynomial. They solve function problems. This two-page activity contains seven problems.

Curated OER

#### Taylor Series and Taylor Polynomials

In this math instructional activity, students solve problems that focus upon the use of the Taylor Series and Taylor Polynomials. Then they substitute and differentiate each equation.

College Board

#### 2007 AP® Calculus BC Free-Response Questions

Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...

College Board

#### 2009 AP® Calculus BC Free-Response Questions Form B

Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...

College Board

#### 2003 AP® Calculus BC Free-Response Questions Form B

Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...

Curated OER

#### Discussion Sheet 11: Taylor Series and Maclaurin Series

In this Taylor and Maclaurin series worksheet, students determine the nonzero terms in a series for a given function. They determine the limits and graph the function. This two-page worksheet contains examples, explanations, and six...

College Board

#### 2010 AP® Calculus BC Free-Response Questions

What do a zoo, snow, and a moving particle have in common? The six free-response items from the 2010 AP® Calculus BC exam allow teachers and pupils see how items may show up in context. Three of the questions are from only the BC portion...

College Board

#### 2007 AP® Calculus BC Free-Response Questions Form B

There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...

Curated OER

#### Taylor Series

In this Calculus worksheet, students use Taylor's inequality to show that the series converges to sin(x). The two page worksheet contains seven questions. Answers are not included.

Curated OER

#### Worksheet 22

In this math worksheet, students determine using geometry the radius of convergence of the Taylor series centered at x0 = 0 for the function

Curated OER

#### Taylor Seies

In this calculus worksheet, students find the Taylor series for each function adn give the interval where the series converges. The two page worksheet contains nine questions. Answers are not included.

Curated OER

#### Rates of Convergence of Functions and Sequences

In this math worksheet, students explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.

Curated OER

#### Worksheet 18 - Spring 1996

In this math instructional activity, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.

Curated OER

#### Applications of Taylor Polynomials

In this math worksheet, students investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.

Curated OER

#### Intervals of Convergence

In this math worksheet, students examine the concept of intervals and how they converge. Then students apply the Taylor series for the problems.

Curated OER

#### Worksheet 39 - Polar Coordinates

In this polar coordinates worksheet, students graph polar coordinates and determine the values of a given series. This one-page worksheet contains 14 multi-step problems.

Curated OER

#### Visualizing Taylor Series and Fourier Series Approximations

In this math worksheet, students read the examples of the Taylor series and geometric series. Then they investigate the application of examining the Taylor polynomials.

Curated OER

#### Taylor and Maclaurin Series

In this Taylor and Maclaurin series worksheet, students answer 10 questions about Taylor and Maclaurin series. Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.

Curated OER

#### Error and Power Series

In this college level calculus worksheet, students compare two series to compute the error given the number of terms added. Students write the Maclaurin and Taylor series for the given functions. The two page worksheet contains seven...