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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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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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Lesson Plan
Curated OER

Factoring Perfect-Square Trinomials and Differences of Squares

For Teachers 8th - 9th
In this algebra worksheet, students 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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Worksheet
Curated OER

Square Root Worksheet

For Students 6th - 8th
In this square root worksheet, middle schoolers determine the square root of perfect squares. This one-page worksheet contains 20 problems.
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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
Virginia Department of Education

Perfecting Squares

For Teachers 6th Standards
Here's a perfect way to introduce perfect squares. Individuals color in the diagonals of squares and record observations about patterns. They connect their diagrams to exponents of two and perfect squares.
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Assessment
Concord Consortium

Squares and Cubes

For Students 9th - 10th Standards
The task is simple, but the solution is a little more complex. Learners must find the smallest number that results in a perfect square when multiplied by two and a perfect cube when multiplied by three. The task requires an analysis of...
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Lesson Plan
EngageNY

Simplifying Square Roots

For Students 8th Standards
Explore the process of simplifying square roots through an analysis of perfect squares. The fourth lesson of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The perfect square factor...
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Lesson Plan
Curated OER

Application of Completing the Square

For Teachers 9th - 12th Standards
A TI technology activity that helps learners to recognize and use the characteristic of a perfect square quadratic to complete the square. Additionally, they apply their knowledge to solve real-world problems.
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PPT
Curated OER

Exploring Square Roots and the Pythagorean Theorem

For Teachers 5th - 6th
For learners of algebra, this presentation could be of good use. They are coached on the basics of how to calculate square roots and perfect squares, and they are shown the intriciacies of the Pythagorean Theorem. There are many practice...
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Interactive
CK-12 Foundation

Evaluation of Perfect Square Roots: Neighborhood Park

For Students 7th - 9th Standards
Walking in the park can be good for the body and for mathematics skills. Young scholars use an interactive app to investigate the relationship between squares and square roots using a square with adjustable length. The program also takes...
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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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Worksheet
Curated OER

Factoring the Difference of Two Perfect Squares

For Students 9th - 11th
In 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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Interactive
Curated OER

Factoring Trinomials - Perfect Squares

For Students 9th - 12th
In this online math learning exercise, 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...
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Lesson Plan
Virginia Department of Education

Square Roots

For Teachers 7th
Square away any doubts about using a new resource. Pupils learn about squares and square roots in the mini-lesson plan. They complete a worksheet identifying roots of perfect squares up to 400.
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Interactive
CK-12 Foundation

Evaluation of Square Roots

For Students 8th - 10th Standards
Think outside the box and use an engaging, interactive app that shows the relationship between square roots and squares using an actual square. Pupils find that moving a slider increases the side length of a square and its associated area.
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Lesson Plan
Curated OER

Perfectly Square

For Teachers 4th
Fourth graders use graph paper to make models of perfect squares. They be given a word problem in a worksheet imbedded in this plan. They may work in small groups or work alone to figure out the answer.
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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

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

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

What Number, Which Added to 100 and 164 Make Them Perfect Squares?

For Students 8th - 12th
In this perfect squares worksheet, students solve to find the numbers, which added to 100 and 164 make them perfect squares.  The solutions are provided.
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Worksheet
Curated OER

Perfect Squares

For Students 5th - 10th
In this perfect square worksheet, students are asked if the numbers up to 3 digits are perfect squares and they answer yes or no. Students complete 8 problems.
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Worksheet
Curated OER

Factoring The Difference of Two Perfect Squares

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

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