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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.
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...
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...
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
Adding and Subtracting Polynomials
Define, simplify, add, and subtract polynomials. Identify the degrees of a polynomial. Determine if a polynomial is a monomial, a binomial, or a trinomial. Then look at simplifying a polynomial by combining the coefficient values of like...
Curated OER
An Introduction to Polynomial Functions
In this introduction to polynomial function worksheet, young scholars classify, state the degree, find the intercepts, and evaluate polynomial functions. Six of the problems are true/false problems and thirty-eight and free-response...
EngageNY
Successive Differences in Polynomials
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
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.
West Virginia Department of Education
Multiplying Polynomials Using Algebra Tiles
Tiles are not just for algebra—see how they can help with multiplication too. Young mathematicians learn to use algebra tiles to model polynomial multiplication. A follow-up worksheet provides practice with the skill.
Curated OER
Adding and Subtracting Polynomials
For use with a TI-nspire calculator, this lesson focuses on adding and subtracting polynomials. Learners use calculator to add and subtract polynomials using both the vertical method horizontal methods. A class discussion follows the...
Curated OER
The Quest for Roots of Higher Order Equations
Young mathematicians explore the concept of solutions to higher order equations as they find roots of polynomials of degree three or higher. They also use the zero function on the Ti-83 to locate zeros of polynomials on a graph.
Willow Tree
Solving Quadratic Equations
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
EngageNY
Putting It All Together
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
02 x 02 Worksheets
Dividing Polynomials Using Algebra Tiles
Discover how algebra tiles can help in dividing polynomials. Pupils watch as instructors demonstrate how to use algebra tiles to solve problems involving the division of a quadratic expression by a linear expression. Once they get the...
Curated OER
Forty-Eight Perform Operations on Polynomials Problems
Pupils add, subtract, and multiply polynomials in forty-eight problems. Problems twenty-three through forty-eight each have three parts. The solutions are linked. A good option for homework to reinforce what you have taught...
Curated OER
Factoring Polynomials 2
In this algebra worksheet, students factor thirty-six polynomial expressions. All of the expressions are second degree polynomials. Twelve problems are the sum or difference of two squares, and one problem has a common factor for both...
Curated OER
Students Multiply Polynomials without Algeblocks
Introduce your class to the lattice method as a way to multiply polynomials. This instructional activity is specifically aimed at getting students to use methods other than Algeblocks to solve polynomials.
Curated OER
Taylor Polynomial Examples
Students graph Taylor polynomials. In this calculus lesson plan, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
Curated OER
The Remainder Theorem Using TI-Nspire CAS
Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...
Curated OER
End Behavior of Polynomial Functions
Young scholars identify the end behavior of polynomial functions. In this algebra lesson, students graph different polynomials functions and find a correlation between exponents and function behavior. They identify the effect the leading...
Curated OER
Subtracting Monomials and Polynomials
Students subtract monomials and polynomials by combining like terms. In this advanced subtraction lesson, students define the rules and properties for subtraction of polynomials. They apply the rules for addition to help with the rules...
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
Curated OER
Eighty-Six Various Polynomial Function Problems
In this polynomial functions worksheet, students solve eight-six various problems concerned with the degree, graph, intercepts, end behavior, and transformations of polynomial functions. Some of the problems are algebraic work and some...
Curated OER
Introduction to Polynomials
Students analyze the graphs of polynomial functions, examine vocabulary associated with polynomials, and determine the maximum number of real roots possible for a polynomial