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EngageNY
Structure in Graphs of Polynomial Functions
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
EngageNY
Graphing Factored Polynomials
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
EngageNY
Transformations of the Graphs of Logarithmic and Exponential Functions
Transform your lesson on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they examine...
EngageNY
Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
Curated OER
Polynomials Functions
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
Curated OER
Graphing Polynomials of Higher Degree
Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...
Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
CK-12 Foundation
Finding and Defining Parts of a Polynomial Function Graph
So many things to remember when graphing polynomials and this guide gives a helping hand to do so. The packet goes through examples and explains things like critical values, end behavior, and multiplicities. There are image links and...
K20 LEARN
Awesometh Degree of a Function
Build up a polynomial. Learners use printed cards to create polynomials. Using a graphing utility, pupils make comparisons between the polynomials they built. To further cement the concept, they build upon their algebraic vocabulary as...
EngageNY
Modeling Riverbeds with Polynomials (part 2)
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
EngageNY
Modeling Riverbeds with Polynomials (part 1)
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
Virginia Department of Education
Transformational Graphing
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
Curated OER
Polynomials: Factors, Roots and Zeroes
Learners factor polynomial equations. For this algebra lesson, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.
Curated OER
One of the Many Ways
Explore the concept of polynomials and determine the value and number of zeros for a given polynomial using the Rational Root Theorem. Then graph the polynomials and relate the number of zeroes to the degree of the polynomial.
Curated OER
A Polynomial Quilt
Tenth graders create polynomial quilts. In this polynomials lesson, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
Curated OER
Graphical Analysis
Get out your TI-nspire graphing calculator and explore polynomials. Learners determine where a given polynomial are increasing or decreasing, find maximums, minimums, and zeros of polynomials, and discuss end behavior of polynomials....
Curated OER
Going Back to Your Roots
Who doesn't need to know the Fundamental Theorem of Algebra? Use the theorem to find the roots of a polynomial on a TI calculator. The class explores polynomials with one solution, no real solutions, and two solutions. This less lesson...
Curated OER
Taylor Polynomials
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
Curated OER
Zeros of Polynomials
Students graph polynomials. In this Algebra II lesson, students investigate the graph of a polynomial to determine the value and the number of zeros. This lesson requires the use of a graphing calculator.
Curated OER
Taylor Polynomial Examples
Students graph Taylor polynomials. In this calculus instructional activity, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
Curated OER
Polynomial Rollercoaster
Learners relate polynomials to a rollercoaster track as they translate a graph around on a coordinate plane. They differentiate between different forms of algebraic expressions.
Mathematics Assessment Project
Representing Polynomials
Use this complete and very detailed lesson plan to assess your students' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
EngageNY
The Remainder Theorem
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
Curated OER
Adding and Subtracting Polynomials Using Algebra Tiles
Learners add and subtract polynomials. In this algebra lesson, students use algebra tiles to perform operation of polynomials. They model their problems and understand how to combine like terms using tiles.