Taylor Polynomial Teacher Resources

Learners graph Taylor polynomials. For this calculus lesson, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.

Pupils graph Taylor polynomials in this calculus instructional activity. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.

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.

In 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.

In this Taylor polynomial worksheet, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.

In 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.

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

In this calculus instructional activity, students solve five functions. They use the answers to approximate a second function. Students graph the Taylor polynomials and functions. They compare the two Taylor approximations.

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.

In 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.

Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...

In this polynomial learning exercise, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. ...

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.

In this math learning exercise, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.

In this math worksheet, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.

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

In this differentiability learning exercise, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page learning exercise...

In this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier polynomial....

In this AP Calculus review worksheet, students solve twenty-eight multiple choice questions in preparation for the AP Calculus BC exam.

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...

High schoolers 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...

In this limits activity, students use Taylor's Theorem to solve two short answer problems. They use L'Hopital's Rule to solve two short answer problems. Students read a two page lesson on limits.

Young scholars solve problems using limits in this calculus activity. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.

Learners solve problems using the TI. In this calculus instructional activity, students evaluate functions using sequences. They graph the functions on the TI and make observations.