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Worksheet
Curated OER

Polynomials

For Students Higher Ed
In this College algebra learning exercise, students determine the degree of polynomials.  Students add, subtract, multiply, divided and factor polynomials.  The two page learning exercise contains thirty-eight problems.  Answers are no...
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Worksheet
Curated OER

Simple Factoring of Polynomials

For Students 9th - 10th
In this polynomial learning exercise, students use the factoring method to simplify polynomials. Examples and explanations are provided on this two-page learning exercise. Ten problems are included.
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Worksheet
Curated OER

Dividing Monomials

For Students 9th
In this monomials worksheet, 9th graders solve and complete 14 different problems that include dividing various monomial expressions. First, they divide the powers with the same base and subtract the exponents. Then, students simplify...
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Lesson Plan
Curated OER

Polynomials

For Teachers 8th
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.
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Lesson Plan
Curated OER

Positive and Negative Numbers

For Teachers 6th - 9th
Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics lesson, learners use Algebra blocks to demonstrate multiplying polynomials.
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Lesson Plan
Curated OER

How Simple Is Your Rational Expression?

For Teachers 8th - 10th
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...
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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.
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Lesson Plan
Curated OER

Worksheet #11: Dividing Polynomials

For Teachers 9th - 10th
In this multiple choice polynomial worksheet, students complete 20 problems involving division of polynomials and reduce them to their lowest terms.
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Lesson Plan
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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. 
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Worksheet
Curated OER

Solving Monomials and Polynomials

For Students 9th
In this solving monomials and polynomials worksheet, 9th graders solve 18 different problems related to solving by division. First, they use the Distributive Property to write every term of the numerator over the monomial in the...
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Activity
Illustrative Mathematics

Zeroes and Factorization of a General Polynomial

For Teachers 10th - 12th Standards
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
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Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
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Worksheet
Curated OER

Integrated Algebra/Math A Regents Questions by Performance Indicator

For Students 8th - 10th
In this dividing polynomials worksheet, students complete 7 division of polynomial problems. Each problem features 4 possible answers.
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Activity
Illustrative Mathematics

Zeroes and factorization of a non polynomial function

For Teachers 10th - 12th Standards
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
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Lesson Plan
Curated OER

Dividing Integer Powers

For Teachers 8th - 12th
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.
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Lesson Plan
Curated OER

Polynomial Divisions

For Teachers 8th - 10th
Pupils 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.
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Worksheet
Curated OER

Divide Monomials #2

For Students 6th - 7th
In this dividing monomials activity, students complete a set of 6 problems, showing their work in the word space provided. Answers are included on page 2.
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Lesson Plan
Curated OER

Dividing Expressions

For Teachers 8th - 12th
In this algebra worksheet, learners divide expressions and utilize exponent rules. There are 7 questions with multiple parts.
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Worksheet
Curated OER

The Remainder and Factor Theorems

For Students 11th
In this remainder and factor theorems worksheet, 11th graders solve and complete 10 different problems. First, they divide using synthetic division and write their answer in the form given. Then, students use synthetic division to find...
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Worksheet
Curated OER

Simplifying Fractions

For Students 8th - 9th
In this simplifying expressions worksheet, students solve and complete 16 various types of problems. First, they express each expression as a single fraction in simplified form. Then, students perform the indicated operations. In...
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Worksheet
Curated OER

Operations on Functions

For Students 9th - 12th
In this operations and functions instructional activity, students add, subtract, multiply, and divide functions.  This one-page instructional activity contains 18 multi-step problems. 
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Lesson Plan
Virginia Department of Education

Exponents

For Teachers 7th - 10th Standards
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...
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Worksheet
Curated OER

Polynomials Division

For Students 9th - 11th
For this algebra worksheet, students solve polynomials by division using long and synthetic division. There is on one problem on this worksheet.
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Worksheet
Curated OER

Final Exam Review: College Algebra

For Students 11th - Higher Ed
In this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations.  They identify the slope of a line and write linear equations.  Students use Cramer's rule, graphing, substitution,...

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