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Worksheet
Curated OER

Multiplying Special Case Polynomials

For Students 8th - 10th
In this algebra worksheet, learners practice finding the product of two binomials. In each case either the answer represents a difference of squares or a perfect square trinomial. There are 26 problems with an answer key.
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Lesson Plan
Chicago Teachers Union Quest Center

Factored Form of a Quadratic Function

For Teachers 9th - 12th Standards
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
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Lesson Plan
Virginia Department of Education

Factoring for Zeros

For Teachers 8th - 11th
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
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Worksheet
Curated OER

Factoring Special Cases

For Students 9th - 12th
In this factoring worksheet, high schoolers factor twenty-two factoring problems. Students factor perfect square trinomials and the difference of squares.
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Worksheet
Curated OER

Factoring Test

For Students 9th - 12th
In this algebra worksheet, students simplify monomials, perform basic operations on two polynomials, and factor binomials and trinomials. There are 20 questions and a bonus.
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Worksheet
Curated OER

Factoring Quadratic Trinomials

For Students 9th
In this factoring trinomials activity, 9th graders solve and complete 36 various types of problems. First, they write each trinomial in factored form. Then, students write all of the factor pairs of the third term and circle the pair...
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Lesson Plan
Curated OER

Nine Factoring Algebraic Expressions Problems

For Teachers 8th - 11th
In this factoring worksheet, students factor algebraic expression in eight multiple choice problems and one free-response problem.  The solutions are provided.
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Lesson Plan
EngageNY

Recognizing Equations of Circles

For Teachers 9th - 12th Standards
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
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Worksheet
Curated OER

Factoring Quadratic Expressions

For Students 11th
In this Algebra II worksheet, 11th graders factor quadratic expressions.  The two page worksheet contains explanation of topic, worked examples, and three practice problems.  Answers are not included. 
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Worksheet
Curated OER

Adding and Subtracting Rational Expressions

For Students 7th - 9th
In this adding and subtracting rational expressions worksheet, students solve 22 problems with complex denominators. Eight problems have common denominators, for the other 14, students must first multiply to find the common denominator.
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Worksheet
Curated OER

Factoring Completely

For Students 9th - 11th
In this algebra instructional activity, students factor out polynomials using the GCF. They identify special patterns or formula and factor those out first. There are 11 polynomial problems of different degrees.
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Lesson Plan
Curated OER

Worksheet Chapter 5 College Prep Algebra

For Teachers 10th - 12th
In this algebra worksheet, students evaluate algebraic expressions, simplify exponents, write numbers in scientific notation, perform division of equations, and find the area of given problems. This worksheet contains 75 problems and an...
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Lesson Plan
Curated OER

Polynomials and Factoring

For Teachers 7th - 9th
Learners classify, add, subtract, and factor polynomials. In this polynomials instructional activity, students classify polynomials by creating their own system. During a discussion, the class decides on a common system. They add and...
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Lesson Plan
Curated OER

Old Poly Factoring

For Teachers 9th - 11th
Students are given a set of Old Poly cards and then match polynomials to their factored forms in a game of Old Maid. They complete a worksheet for assessment.
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Lesson Plan
Curated OER

The X Factor - Trinomials and Algebra Tiles

For Teachers 7th - 12th
Students use algebra tiles to identify the binomial factors and the graphing calculator to verify the result. In addition, they will identify the x-intercepts and y-intercepts of each trinomial function and explore relationships between...
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Lesson Plan
Curated OER

Chapter 5 Solving Problems

For Teachers 9th - 12th
Students explore the concept of algebra topics. In this algebra topics lesson, students solve linear and quadratic equations. Students solve systems and factor equations. Students practice problems involving perfect square trinomials and...
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Lesson Plan
EngageNY

Completing the Square (part 1)

For Students 9th - 10th Standards
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the square.
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Assessment
Mathematics Assessment Project

Sidewalk Stones

For Students 9th - 12th Standards
One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...
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Worksheet
Curated OER

Simplifying Rational Expressions

For Students 9th
In this rational expressions worksheet, 9th graders identify and solve 20 different problems that include simplifying various types of rational expressions. First, they define and describe a rational expression and how to find its...
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Lesson Plan
Curated OER

Multiplying Polynomials - FOIL

For Teachers 9th - 11th
Students participate in an activity to demonstrate the distributive property. They take notes as they observe different methods of FOIL. Afterward, students work on their own, and in groups to determine which method to use and complete...
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Lesson Plan
Curated OER

Calculate the Slope of a Line Using Two Points

For Teachers 8th - 11th Standards
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
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Lesson Plan
Curated OER

Translate Word Phrases and Sentences into Equations

For Teachers 8th - 11th Standards
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
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Lesson Plan
Curated OER

A Polynomial Quilt

For Teachers 10th
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...
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Lesson Plan
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Curated OER

Sums and Difference of Cubes

For Teachers 8th - 11th Standards
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.

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