Worksheet
Curated OER

Theory of Polynomials

For Students 11th - Higher Ed
For this theory of polynomials worksheet, students solve nine problems total related to polynomials. In this first part, they use synthetic division to find the quotient, and the remainder if there is a dividend and a divisor. In the...
Worksheet
Curated OER

Long Division of Polynomials

For Students 9th - 10th
In this polynomial worksheet, students simplify problems through the use of division. This three-page worksheet contains examples, followed by ten problems.
Lesson Plan
Curated OER

Division of Polynomials

For Teachers 6th - 8th
In this math worksheet, students find the solutions to the expressions with polynomials using the operation of division. There are two methods shown in the two examples.
Worksheet
Curated OER

Dividing Polynomials

For Students 11th - Higher Ed
In this Algebra II/college level worksheet, students use long and synthetic division to divide polynomials and use the Factor Theorem to show that a given polynomial is a factor of a polynomial function.  The two page worksheet...
Worksheet
Curated OER

Multiplication and Division of Rational Expressions

For Students 8th - 9th
In this rational expressions worksheet, learners solve and complete 20 different problems that include multiplying and dividing rational expressions. First, they multiply or divide to simplify each result. Then, students factor the...
Worksheet
Curated OER

Multiplication and Division of Rational Expressions

For Students 9th
In this rational expressions worksheet, 9th graders identify and solve 15 different problems that include multiplying and dividing various rational expressions. First, they multiply or divide each pair of rational expressions. Then,...
Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Lesson Plan
Curated OER

What are Signed Numbers? (Polynomials)

For Teachers 7th - 10th
Students define polynomial functions. For this algebra lesson, students add, subtract, multiply and divide polynomials using properties of polynomial functions.
Worksheet
Curated OER

Division of Polynomials

For Students 9th - 10th
In this algebra worksheet, learners divide polynomials by monomials and binomials. They use the correct property of the quotient rule when dividing. There are 9 questions with an answer key.
Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Worksheet
Curated OER

More on Factors, Zeros, and Dividing

For Students 10th - 12th
Students explore the concept of finding zeros of polynomials.  In this finding zeros of polynomials worksheet, students find the zeros of polynomials given one zero.  Students factor and find all the zeros of 18 polynomials.
Unit Plan
Mathematics Vision Project

Module 3: Numbers and Operations

For Students 10th - 12th Standards
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
Lesson Plan
Curated OER

Who am I? Find A Polynomial From Its Roots

For Teachers 9th - 12th
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...
Lesson Plan
Curated OER

Multiplying Polynomials

For Teachers 7th - 9th
Help learners study polynomials. They will review how to multiply polynomials either by using the FOIL method if they are multiplying a binomial by another binomial, or by using the distributive property.
Lesson Plan
Curated OER

Adding And Subtracting Polynomials

For Teachers 6th - 9th
Students investigate the concept of adding and subtracting polynomials. They put terms in the correct order in order to solve them vertically. They simplify first with combining like terms and then conducting the calculations. The...
Lesson Plan
Curated OER

Multiplying Polynomials

For Teachers 8th - 10th
Students explore multiplying polynomials. They observe solving polynomials using the standard order of operations, FOIL, and the box method. Throughout the demonstration, students explore strategies of solving word problems such as...
Lesson Plan
Curated OER

Factoring Polynomials

For Teachers 8th - 10th
Young mathematicians examine the "Tic-tac-toe" factoring method to factor polynomials. They use algebra tiles to model solutions of binomial multiplication problems. They discuss strategies and observe teacher-made models for solving...
Lesson Plan
Curated OER

Discovering Different Types of Functions

For Teachers 10th - 12th
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Lesson Plan
Curated OER

Synthetic Division Review

For Teachers 9th - 12th
In this synthetic division worksheet, students use synthetic division to divide a binomial. Explanations and examples are provided. This three-page worksheet contains ten problems, with answers.
Assessment
1
1
Mathematics Assessment Project

Arithmetic with Polynomials and Rational Expressions

For Students 9th - 12th Standards
It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have...
Lesson Plan
1
1
Willow Tree

Factoring Polynomials

For Students 8th - 11th Standards
Young mathematicians discover trees organize more than just families — they help factor, too. The lesson begins with factor trees and develops slowly to factoring by grouping and special patterns. 
Assessment
EngageNY

Mid-Module Assessment Task - Algebra 2 (Module 1)

For Students 10th - 12th Standards
Challenge classes to think deeply and apply their understanding of polynomials. The assessment prompts learners to use polynomial functions to model different situations and use them to make predictions and conclusions.
Lesson Plan
EngageNY

Mental Math

For Students 10th - 12th Standards
Faster than a speedy calculator! Show your classes how to use polynomial identities to multiply numbers quickly using mental math. 
Lesson Plan
Virginia Department of Education

Adding and Subtracting Polynomials Using Algebra Tiles

For Teachers 8th - 10th Standards
Scholars learn how using algebra tiles to add and subtract polynomials can model how to combine polynomials. They use their newfound knowledge to complete a worksheet of problems.

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