Taylor Polynomial Teacher Resources

Find Taylor Polynomial lesson plans and worksheets
Showing 48 resources
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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

Worksheet 14

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

Taylor Series

For Students 9th - Higher Ed
For 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

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.
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Lesson Plan
Curated OER

Exploring Infinite Series

For Teachers 9th - 12th Standards
Learners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.
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Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.
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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

Center of Mass, Tangent Line Error Bound

For Students 10th - 12th
For this center of mass worksheet, students determine the center of mass of an isosceles triangle. They examine functions and determine the tangent error bound.  This one-page worksheet contains 5 problems.
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Activity
Texas Instruments

Texas Instruments: Taylor Polynomials

For Teachers 9th - 10th
Students learn to define a Taylor polynomial approximation to a function f of degree n about a point x = a. They also learn to graph convergence of Taylor polynomials. They use Taylor polynomials to approximate function values.
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Instructional Video
Khan Academy

Khan Academy: Calculus: Taylor Polynomials

For Students 9th - 10th
Video lesson showing the formula for a Taylor series expansion to five terms and uses it to approximate the cosine function. Includes the graphs of a specific number of terms of the approximate function using a graphing calculator. [18:05]
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Instructional Video
Khan Academy

Khan Academy: Calculus: Error or Remainder of a Taylor Polynomial Approximation

For Students 9th - 10th
Video first reviews the formula for a Taylor series expansion and then defines the error function to be the difference between the polynomial approximation and the actual function. Properties of the derivatives of the error function are...
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Activity
Math Medics

S.o.s. Math: Taylor Series

For Students 9th - 10th
This lesson details the taylor series with a general description, formulas, and an explanation of its usage in mathematics. Content also includes a focus on the Taylor series as limits of Taylor polynomials, including two examples.
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Instructional Video
Khan Academy

Khan Academy: Calculus: Bounding the Error of a Taylor Polynomial Approximation

For Students 9th - 10th
Video uses a property of the error function for a Taylor series expansion from the previous video to bound the (n+1)th derivative of the error function. Result is the Lagrange error bound. [15:08]
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Instructional Video
Khan Academy

Khan Academy: Bounding the Error or Remainder of a Taylor Polynomial Approx.

For Students 9th - 10th
Video uses a property of the error function for a Taylor series expansion from a previous video to bound the (n+1)th derivative of the error function. Result is the Lagrange error bound.
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Instructional Video
Khan Academy

Khan Academy: Calculus: 2011 Calculus Bc Free Response #6D

For Students 9th - 10th
Video shows how to calculate the Lagrange error bound for a Taylor series polynomial approximation. [11:52]
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Activity
Texas Instruments

Texas Instruments: Exploring Taylor's Integrals

For Teachers 9th - 10th
In this activity, the students will learn the use of Taylor's polynomials to integrate functions that are not easily integrated by hand. They learn this by completing a series of calculations that vary from integrating to finding a...
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Instructional Video
Khan Academy

Khan Academy: Calculus Bc Sample Questions: 2011 Calculus Bc Free Response #6 D

For Students 9th - 10th
Lagrange error bound for Taylor Polynomial approximation.
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Instructional Video
Khan Academy

Khan Academy: 2015 Ap Calculus Bc 6 C

For Students 10th
Multiplying two Taylor polynomials.
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Instructional Video
Khan Academy

Khan Academy: 2011 Calculus Bc Free Response #6 D

For Students 10th
Lagrange error bound for Taylor Polynomial approximation.
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Instructional Video
Khan Academy

Khan Academy: Maclaurin and Taylor Series: Maclaurin and Taylor Series Intuition

For Students 9th - 10th
Approximating a function at 0 using a polynomial
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Instructional Video
Khan Academy

Khan Academy: Maclaurin and Taylor Series

For Students 9th - 10th
Understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function
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Instructional Video
Khan Academy

Khan Academy: Maclaurin and Taylor Series: Euler's Formula and Euler's Identity

For Students 9th - 10th
Rationale for Euler's Formula and Euler's Identity
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Handout
Math Open Reference

Math Open Reference: Lagrange Remainder

For Students 11th - 12th
Learn about the Lagrange remainder with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Polynomial Approximations [Pdf]

For Students 9th - 10th
The exercise explores first-, second-, and third-degree polynomial approximations. Students label the graphs of the polynomial approximations. The handout is available in PDF format.

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