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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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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
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-instructional activity. They complete a worksheet identifying roots of perfect squares up to 400.
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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

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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Lesson Plan
EngageNY

Square Roots

For Students 8th Standards
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
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Interactive
CK-12 Foundation

Sequence of Partial Sums: Partial Sums

For Students 11th - Higher Ed
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
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Lesson Plan
Curated OER

Area, Arithmetic and Algebra

For Teachers 8th - 9th Standards
Explore the concept of this perfect square trinomial and difference of squares lesson. A hands-on activity that uses paper rectangles and squares to illustrate the perfect-square trinomial and difference of squares formulas.
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Lesson Plan
Curated OER

Catcher in the Rye: Chapters 18-20 Venn Diagram

For Teachers 9th - 12th
Well into Catcher in the Rye, when things are looking bleak and your readers may be needing some levity, read the picture book The Perfect Square by Michael Hall. Then use the Venn diagram included to compare how Holden Caulfield and the...
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Worksheet
Curated OER

Number Sense and Numeration: Square Roots

For Students 8th
In this square roots worksheet, 8th graders solve 14 different types of problems to include determining the square root of a number of problems, determining the area of a rectangle and the length of a side of a square with the same...
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Lesson Plan
EngageNY

Existence and Uniqueness of Square Roots and Cube Roots

For Students 8th Standards
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
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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
EngageNY

Comparing Irrational Numbers

For Students 8th Standards
Build on your classes' understanding of irrational numbers by comparing their values. The 13th lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers on a...
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Interactive
CK-12 Foundation

Use Square Roots to Solve Quadratic Equations: Plus or Minus

For Students 9th - 12th Standards
Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...
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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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Workbook
1
1
University of Utah

Rational and Irrational Numbers

For Students 8th Standards
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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Lesson Plan
Curated OER

Rational, Irrational and Square Roots

For Teachers 7th
Seventh graders identify rational and irrational numbers and then, estimate the square root of numbers that are not perfect squares. They then identify what the radical is and differentiate between that and a division symbol clearly....
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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

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

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.