Taylor Polynomial Teacher Resources
Find Taylor Polynomial lesson plans and worksheets
Showing 48 resources
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
Worksheet 14
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.
Curated OER
Taylor Series
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.
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
Exploring Infinite Series
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.
Curated OER
Differentiability and Linear Approximation
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.
Curated OER
Worksheet 14 - Spring 1996
In this math worksheet, students Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
Curated OER
Center of Mass, Tangent Line Error Bound
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.
Texas Instruments
Texas Instruments: Taylor Polynomials
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.
Khan Academy
Khan Academy: Calculus: Taylor Polynomials
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]
Khan Academy
Khan Academy: Calculus: Error or Remainder of a Taylor Polynomial Approximation
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...
Math Medics
S.o.s. Math: Taylor Series
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.
Khan Academy
Khan Academy: Calculus: Bounding the Error of a Taylor Polynomial Approximation
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]
Khan Academy
Khan Academy: Bounding the Error or Remainder of a Taylor Polynomial Approx.
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.
Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #6D
Video shows how to calculate the Lagrange error bound for a Taylor series polynomial approximation. [11:52]
Texas Instruments
Texas Instruments: Exploring Taylor's Integrals
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...
Khan Academy
Khan Academy: Calculus Bc Sample Questions: 2011 Calculus Bc Free Response #6 D
Lagrange error bound for Taylor Polynomial approximation.
Khan Academy
Khan Academy: 2011 Calculus Bc Free Response #6 D
Lagrange error bound for Taylor Polynomial approximation.
Khan Academy
Khan Academy: Maclaurin and Taylor Series: Maclaurin and Taylor Series Intuition
Approximating a function at 0 using a polynomial
Khan Academy
Khan Academy: Maclaurin and Taylor Series
Understanding the properties of the remainder or error function for an Nth degree Taylor approximation of a function
Khan Academy
Khan Academy: Maclaurin and Taylor Series: Euler's Formula and Euler's Identity
Rationale for Euler's Formula and Euler's Identity
Math Open Reference
Math Open Reference: Lagrange Remainder
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.
Math Graphs
Houghton Mifflin: Math Graphs: Polynomial Approximations [Pdf]
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.