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Lesson Plan
Texas Instruments

Convergence of Taylor Series

For Teachers 9th - 12th Standards
Students analyze taylor series for convergence. In this calculus instructional activity, 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. 
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Worksheet
Curated OER

Taylor Series and Taylor Polynomials

For Students 11th - Higher Ed
For this math worksheet, students solve problems that focus upon the use of the Taylor Series and Taylor Polynomials. Then they substitute and differentiate each equation.
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Worksheet
Curated OER

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.
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Worksheet
Curated OER

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.
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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.
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Worksheet
Curated OER

Introduction to Taylor Series

For Students Higher Ed
In this Taylor series worksheet, students determine the difference between a Taylor series and a Taylor polynomial. They solve function problems. This two-page worksheet contains seven problems.
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Worksheet
Curated OER

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.
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Worksheet
Curated OER

Taylor Seies

For Students 12th - Higher Ed
In this calculus instructional activity, students find the Taylor series for each function adn give the interval where the series converges. The two page instructional activity contains nine questions. Answers are not included.
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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.
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Worksheet
Curated OER

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.
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Worksheet
Curated OER

Taylor Polynomials and Taylor Series

For Students Higher Ed
In this Taylor polynomials and series activity, students identify a tangent line to a function and use the absolute value test to determine the values of x. This five-page activity contains four problems, plus explanations and examples.
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Worksheet
Curated OER

Worksheet 18 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
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Worksheet
Curated OER

Worksheet 17

For Students 11th - Higher Ed
In this math worksheet, learners practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.
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Lesson Plan
Curated OER

Worksheet 11 - Intervals

For Teachers Higher Ed
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
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Worksheet
Curated OER

Using Fourier Series

For Students Higher Ed
In this Fourier series instructional activity, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree...
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Lesson Plan
Curated OER

Worksheet 38-Spring 1996

For Teachers Higher Ed
For this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
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Worksheet
Curated OER

Worksheet 15 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
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Worksheet
Curated OER

Cubic Approximation

For Students Higher Ed
For this calculus and analytic geometry worksheet, students problem solve and calculate the answers to five word problems involving the third degree Taylor polynomial function and the Maclaurin series computation.
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Worksheet
Curated OER

Worksheet 14 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
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Worksheet
Curated OER

Twenty-Eight Multiple Choice AP Calculus BC Exam Preparation Questions

For Students 11th - Higher Ed
In this AP Calculus review worksheet, students solve twenty-eight multiple choice questions in preparation for the AP Calculus BC exam.
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Lesson Plan
Curated OER

NUMB3RS - Season 2 - "Convergence" - Air Hockey

For Teachers 9th - 12th Standards
Learn how to use a matrix to organize data to solve a problem. This activity uses wins and losses to rank players for an air hockey tournament they wish to have. After practicing some basic matrix operations the class could do the...
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Worksheet
Curated OER

Worksheet 14

For Students 11th - Higher Ed
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.