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Lesson Plan
Curated OER

Factoring Perfect-Square Trinomials and Differences of Squares

For Teachers 8th - 9th
In this algebra worksheet, pupils factor expressions into the product of two binomials. Four of the problems involve factoring perfect square trinomials. The remaining eight problems require students to factor problems that are the...
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Lesson Plan
Curated OER

Exponential Expressions - Perfect Squares, Square Roots

For Teachers 6th - 8th
Color tiles are used to model perfect squares. Alone or in pairs, middle schoolers will find patterns. Afterward, the relationship between perfect squares and roots will be discussed as a whole class.
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Worksheet
Curated OER

Number Sense and Numeration: Multiples, Factors and Square Roots

For Students 6th - 8th
A great resource for any math teacher covering multiples, factors or square roots; this worksheet walks young mathematicians through the logic behind factoring and square roots with a systematic set of problems which gradually increase...
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Lesson Plan
Curated OER

Perfect Squares and Factoring

For Teachers 9th - 12th
A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.
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Worksheet
Curated OER

9.6 Factoring Special Polynomials

For Students 9th - 11th
In this factoring special polynomials, students find the product of given polynomials. They factor polynomials and determine the difference of two squares. This one-page activity contains 40 multi-step problems.
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Worksheet
Curated OER

Factoring Perfect Squares

For Students 9th - 10th
For this factoring worksheet, students factor perfect squares. Explanations and examples are provided at the beginning of the worksheet. This two-page worksheet contains ten problems.
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Worksheet
Curated OER

Factoring the Difference of Two Perfect Squares

For Students 9th - 11th
For this Algebra I/Algebra II worksheet, students factor the difference of two perfect squares.  The one page worksheet contains five multiple choice questions.  Answers are included. 
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Worksheet
Curated OER

Perfect Squares and Factoring

For Students 9th - 11th
In this perfect square worksheet, students factor perfect square trinomials and polynomials. They identify trinomials and polynomials that are perfect squares. This one-page worksheet contains 21 problems.
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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
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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Interactive
Curated OER

Factoring Trinomials - Perfect Squares

For Students 9th - 12th
In this online math worksheet, students factor trinomials which are actually perfect squares. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific teaching...
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Worksheet
Curated OER

L5.3 Worksheet: Multiplying and Factoring Polynomials

For Students 9th - 12th
In this multiplying and factoring polynomials worksheet, students solve 25 short answer problems.  Students FOIL binomials, expand binomials, factor perfect square trinomials, etc.
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Lesson Plan
Curated OER

Simplify Radicals

For Teachers 7th - 8th
Learners are introduced to the concept of radicals and how to use them in various situations. They review rational and irrational numbers while simplifying different number sentences. They also practice factoring perfect squares.
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Worksheet
Curated OER

Perfect Squares and Factoring

For Students 9th - 11th
In this perfect squares and factoring worksheet, students solve and complete 26 different problems that include a number of polynomials. First, they determine whether each trinomial is a perfect square trinomial and factor if possible....
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Worksheet
Curated OER

Factoring The Difference of Two Perfect Squares

For Students 8th - 9th
In this factoring worksheet, students factor the difference of two perfect squares. All ten given equations contain at least one squared variable and one constant.
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Worksheet
Curated OER

Simplifying Radicals

For Students 9th - 10th
In this radical worksheet, students write given radical expressions in a square root form. Explanations and examples are provided at the beginning of the document. This two-page worksheet contains 24 problems. Answers are located at the...
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Lesson Plan
2
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EngageNY

Mastering Factoring

For Students 10th - 12th Standards
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two cubes. 
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Worksheet
Curated OER

Factoring Special Cases

For Students 9th - 12th
In this factoring learning exercise, students factor twenty-two factoring problems. Students factor perfect square trinomials and the difference of squares.
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Lesson Plan
Curated OER

Factoring Polynomials

For Teachers 8th - 11th Standards
In this Algebra II/college level worksheet, learners use the discriminate to determine if a polynomial has factors with integral coefficients and factor polynomials, including factoring by pulling out the GCF and factoring by grouping....
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Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 1)

For Students 9th - 10th Standards
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
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Worksheet
Curated OER

Completing the Square

For Students 8th
In this completing the square worksheet, 8th graders solve 10 different problems that include completing a square. First, they complete the square in the first 8 problems and write their solutions. Then, students determine what values to...
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Worksheet
Curated OER

Factoring Trinomials (a=1)

For Students 8th - 10th
In this factoring trinomials worksheet, students factor twenty-six trinomial expressions. One problem is not factorable, one is a perfect square, and seven problems require students to factor out a common integer prior to factoring the...
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Interactive
CK-12 Foundation

Factor Polynomials Using Special Products: Difference of Two Squares

For Students 9th - 11th Standards
Factoring patterns are not magic! Show your classes how to model the difference of two squares' factors using an area model. Learners manipulate the width and length of two squares to represent the polynomial a^2-b^2. They use the model...
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Lesson Plan
Curated OER

Simplifying Square Roots

For Teachers 9th - 12th
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.