Curated OER
What are Signed Numbers? (Polynomials)
Young scholars define polynomial functions. In this algebra lesson, students add, subtract, multiply and divide polynomials using properties of polynomial functions.
EngageNY
Mental Math
Faster than a speedy calculator! Show your classes how to use polynomial identities to multiply numbers quickly using mental math.
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
Divide Polynomials By Factoring
Students investigate how to perform the operation of division with polynomials. The lesson begins with a warm up that has them factor a set of polynomials and then problems using factoring for division are introduced as guided practice.
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...
Curated OER
Multiplying and Dividing Polynomials
Students practice multiplying and dividing polynomial expressions with monomials. After a lecture on how to calculate the expression, students practice solving their own polynomial expression while being guided by their classmates.
Curated OER
Teach Your Friends Polynomials
Students investigate polynomials. In this ninth or tenth grade mathetmatics activity, students teach their peers the steps to adding, subtracting, multiplying, dividing, and factoring polynomials. Students create a PowerPoint...
Curated OER
Polynomials
Eighth graders investigate the concepts and combining them into polynomials. The teacher uses direct instruction for delivery. They can use Algebra to make this lesson hands-on for the benefit of kinesthetic learners.
Curated OER
Positive and Negative Numbers
Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics instructional activity, learners use Algebra blocks to demonstrate multiplying polynomials.
Curated OER
How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
Curated OER
Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Willow Tree
Factoring Polynomials
Young mathematicians discover trees organize more than just families — they help factor, too. The instructional activity begins with factor trees and develops slowly to factoring by grouping and special patterns.
Curated OER
Dividing Polynomials by Monomials
In this polynomial worksheet, students divide polynomials by monomials. This one-page worksheet contains ten problems, with answers.
Curated OER
Dividing Integer Powers
Work on the concept of using division with integer powers. The skills of using exponents and multiplying powers should be in place before attempting this lesson. The lesson provides examples for the teacher to use for direct instruction.
Curated OER
Worksheet #11: Dividing Polynomials
For this multiple choice polynomial worksheet, students complete 20 problems involving division of polynomials and reduce them to their lowest terms.
Curated OER
Dividing Expressions
In this algebra worksheet, students divide expressions and utilize exponent rules. There are 7 questions with multiple parts.
Curated OER
Watch Your P's and Q's
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
Curated OER
Polynomial Divisions
Young scholars factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
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...
Virginia Department of Education
Exponents
Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
Curated OER
Solving Various Algebraic Equations for Real and Imaginary Roots
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
EngageNY
The Structure of Rational Expressions
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
Curated OER
Functions and Roots
In this function worksheet, students factor polynomials, or use the FOIL method, to simplify polynomials and determine the roots. This three-page worksheet contains ten problems. Explanations and examples are provided.
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