Polynomial Functions Teacher Resources

Find Polynomial Functions lesson plans and worksheets
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Instructional Video
Khan Academy

Khan Academy: Differential Equations: Undetermined Coefficients 3

For Students 9th - 10th
Video shows an example of solving a second order linear nonhomogeneous differential equation involving a polynomial function using undetermined coefficients. [8:09]
Instructional Video
Khan Academy

Khan Academy: Calculus: Calculus: Graphing Using Derivatives

For Students 9th - 10th
Video lesson using the first and second derivatives to find critical and inflection points and to graph a polynomial function. [20:31]
Instructional Video
Khan Academy

Khan Academy: Algebra: Interesting Polynomial Coefficient Problem

For Students 9th - 10th Standards
Video demonstrates how to determine the coefficients of a third degree polynomial when given the zeros of the polynomial and the y-intercept. [16:15]
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Evaluating and Graphing Polynomials

For Students 9th - 10th
Twenty-two problems present a variety of practice evaluating and graphing polynomials. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...
Unit Plan
Cuemath

Cuemath: Graphing a Quadratic Function

For Students 9th - 10th Standards
A comprehensive guide for learning all about how to graph a quadratic function with definitions, domain and range of quadratic function, vertex form, standard form, how to solve them, solved examples, and practice questions.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes, Factorization of Quadratic Polynomial Ii

For Teachers 9th - 10th Standards
This task is intended to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions. The argument here generalizes to show that a polynomial of degree d can have at most d roots....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial

For Teachers 9th - 10th Standards
This is the first of a series of problems building to an understanding of an important property of polynomial functions, that a polynomial of degree d can have at most d roots. Aligns with A-APR.B.2.
Instructional Video
Khan Academy

Khan Academy: Taylor Series at 0 (Maclaurin) for E to the X

For Students 9th - 10th
Video lesson using a Maclaurin series to approximate an exponential function by using a polynomial function and relates its polynomial approximation to that for the sine and cosine functions.
Unknown Type
Khan Academy

Khan Academy: Even & Odd Functions: Equations

For Students 9th - 10th Standards
Given the formula of a polynomial function, determine whether that function is even, odd, or neither.
Unit Plan
Khan Academy

Khan Academy: End Behavior of Polynomials

For Students 9th - 10th Standards
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: La Function Cuadratica. Parabolas.

For Students 9th - 10th Standards
In Spanish. In this unit you will examine the plot of a second -degree polynomial function. You will establish similarities and differences between the graphs of two second-degree polynomial functions from their coefficients.
Instructional Video
Sophia Learning

Sophia: Decartes' Rule of Signs

For Students 9th - 10th Standards
Determine the number of real roots of a given polynomial function using Decartes' rule of signs. Assess learning with a quiz.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 11.13 Fundamental Theorem of Algebra

For Students 9th - 10th Standards
The Fundamental Theorem of Algebra is really the foundation on which most of the study of Algebra is built. In simple terms it says that every polynomial has zeros. That means that every polynomial can be factored and set equal to zero....
Instructional Video
Khan Academy

Khan Academy: Maclaurin and Taylor Series: Sine Taylor Series at 0 (Maclaurin)

For Students 9th - 10th
Video lesson using a Maclaurin series to approximate a sine function by using a polynomial function.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii

For Teachers 9th - 10th Standards
In this task, students compare exponential and linear functions and find that exponential functions with a base larger than one eventually exceed in value any given linear (or polynomial) function if the value of the input is...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: La Function Cuadratica. Parabolas.

For Students 9th - 10th Standards
This is an interactive activity to explore the second-degree polynomial function. It goes from the simplest case, y=x^2 to different translations.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Rational Zero Theorem

For Students 9th - 10th Standards
This tutorial will show you how to use the rational zero theorem, to find all zeros of a polynomial function, and how to use Descartes' rule of signs. Offers step-by-step solutions to example problems as well as practice problems for you...
Instructional Video
Khan Academy

Khan Academy: Maclaurin and Taylor Series: Visualizing Taylor Series for E^x

For Students 9th - 10th
Video lesson using a Taylor series to approximate e^x around x=3 by using a polynomial function and then showing some of the graphs of the expansion by using the Wolfram Alpha website.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Quotient Rule and Higher Derivatives

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] In the lesson students study the derivatives of rational functions and higher derivatives of polynomial functions. Students examine guided notes, review guided...
Activity
Texas Instruments

Texas Instruments: Finding Extreme Values

For Teachers 9th - 10th
In this activity, students can use symbolic algebra and graphing to find the extreme values for a polynomial function.
Instructional Video
Khan Academy

Khan Academy: Calculus: The Chain Rule

For Students 9th - 10th
Video lesson that reviews how to find the derivative of polynomial functions and then informally introduces the chain rule by looking at a few examples. Includes link to additional practice at the top of the video. [9:12]
Instructional Video
Khan Academy

Khan Academy: Method of Undetermined Coefficients: Undetermined Coefficients 3

For Students 9th - 10th
Video shows an example of solving a second order linear nonhomogeneous differential equation involving a polynomial function using undetermined coefficients.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Intermediate Algebra

For Students 9th - 10th
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions

For Students 9th - 10th Standards
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.

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