Lesson Plan
Texas Instruments

#### Convergence of Taylor Series

For Teachers 9th - 12th Standards
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.
Worksheet
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#### Taylor Series: Natural Number

For Students 9th - Higher Ed
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.
Worksheet
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#### Taylor Series

For Students 9th - Higher Ed
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.
Worksheet
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#### Taylor Series and Taylor Polynomials

For Students 11th - Higher Ed
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.
AP Test Prep
College Board

#### AP® Calculus: Special Focus - Infinite Series

For Teachers 10th - 12th
Read a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...
Worksheet
Curated OER

#### Introduction to Taylor Series

For Students Higher Ed
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.
Worksheet
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#### Introduction to Taylor Series

For Students Higher Ed
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.
Worksheet
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#### Taylor and Maclaurin Series

For Students 11th - 12th
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.
Worksheet
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#### Discussion Sheet 11: Taylor Series and Maclaurin Series

For Students Higher Ed
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...
Worksheet
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#### Taylor Series

For Students 12th - Higher Ed
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.
AP Test Prep
College Board

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

For Students 10th - 12th
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...
Worksheet
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#### Taylor Seies

For Students 12th - Higher Ed
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.
Lesson Plan
Curated OER

#### Worksheet 39 - Polar Coordinates

For Teachers Higher Ed
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.
Worksheet
Curated OER

#### Applications of Taylor Polynomials

For Students 11th - Higher Ed
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.
AP Test Prep
College Board

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

For Students 10th - 12th
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...
AP Test Prep
College Board

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

For Students 10th - 12th
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...
AP Test Prep
College Board

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

For Students 10th - 12th
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...
AP Test Prep
College Board

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

For Students 10th - 12th
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...
Activity
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#### Express Yourself Lesson Seed 19: Synthesis

For Teachers 6th Standards
Wrap up your unit on The Cay with an engaging argumentative writing assignment. Writers must decide if they believe The Cay should be banned. The resource includes links to several articles, which have been addressed and examined in...
Worksheet
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#### Visualizing Taylor Series and Fourier Series Approximations

For Students 11th - Higher Ed
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.
Worksheet
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#### Worksheet 22

For Students 11th - Higher Ed
In this math worksheet, students determine using geometry the radius of convergence of the Taylor series centered at x0 = 0 for the function
Worksheet
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#### Rates of Convergence of Functions and Sequences

For Students 12th - Higher Ed
In this math worksheet, students explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.
Worksheet
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#### Worksheet 18 - Spring 1996

For Students 11th - Higher Ed
In this math instructional activity, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
Worksheet
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#### Error and Power Series

For Students Higher Ed
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...