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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

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

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
EngageNY

Simplifying Square Roots

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

Square Root Worksheet

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

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
Willow Tree

Simplifying Square Roots

For Students 7th - 10th Standards
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root expressions,...
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Assessment
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CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Target B

For Teachers 8th Standards
Develop a radical approach to covering the Smarter Balanced targets for 8th grade math with a presentation that helps further develop math skills. Seven sample items demonstrate the expectation for working with integer exponents,...
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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
Curated OER

Principles of Square Roots Lesson Plan

For Teachers 8th - 11th
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude, rise,...
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Lesson Plan
EngageNY

The Pythagorean Theorem

For Students 8th Standards
Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first instructional activity of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When...
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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, learners solve to find the numbers, which added to 100 and 164 make them perfect squares.  The solutions are provided.
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Handout
Charleston School District

Solving Exponent Equations

For Students 8th - 9th Standards
Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions. 
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Worksheet
Curated OER

Factoring The Difference of Two Perfect Squares

For Students 8th - 9th
In this factoring learning exercise, 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

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
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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Handout
Charleston School District

Evaluation of Roots

For Students 8th Standards
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
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Lesson Plan
Virginia Department of Education

Simplifying Square Roots of Whole Numbers

For Teachers 7th - 9th Standards
Simplify your life by using a resource on simplifying square roots. Pupils review square roots and calculate values of given radical expressions using a calculator. The lesson concludes by having them consider the results to develop 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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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.