Lesson Plan
Illustrative Mathematics

Placing a Square Root on the Number Line

For Teachers 7th - 9th Standards
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
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...
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 plan concludes by having them consider the results to develop...
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...
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...
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.
Lesson Plan
EngageNY

Does Every Complex Number Have a Square Root?

For Teachers 11th - 12th Standards
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
Lesson Plan
Curated OER

Powers and Roots

For Teachers 8th - 10th
Eighth graders determine the square and cube roots of given numbers in this math lesson. They determine the missing number in a sequence. Additionally, they calculate the interior and exterior polygon angles.
Lesson Plan
Illustrative Mathematics

Estimating Square Roots

For Teachers 7th - 9th Standards
No calculators! Assure your learners that they can find the square root of a large number. All they need are two known squares close by and a table. Come up with an additional practice and your number crunchers will have it mastered in...
Lesson Plan
EngageNY

Roots of Unity

For Teachers 11th - 12th Standards
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
Lesson Plan
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EngageNY

Solving Quadratic Equations by Completing the Square

For Students 9th - 10th Standards
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...
Lesson Plan
Curated OER

Squares and Square Roots

For Teachers 8th - 10th
Students find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson, students draw squares and find their areas. They estimate the sides of square when given the area. Students use...
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. They complete a worksheet identifying roots of perfect squares up to 400.
Lesson Plan
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Alabama Learning Exchange

Imaginary Numbers? What Do You Mean Imaginary?

For Teachers 9th - 12th Standards
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
Lesson Plan
EngageNY

The Decimal Expansion of Some Irrational Numbers

For Students 8th Standards
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...
Lesson Plan
Region of Peel

Put Me in Order

For Teachers 4th - 8th
Sorting fractions, integers, decimals and square roots into sequential order is an active process when you use a gym as your setting. After your class is divided into two groups and provided with number cards, they compete to see who can...
Lesson Plan
Curated OER

Babylonian Square Roots

For Teachers 6th - 10th
Students are introduced to a method for finding square roots used by the Babylonian people of Mesopotamia. The method involves dividing and averaging, over and over, to find a more accurate solution with each repeat of the process.
Lesson Plan
Curated OER

Numbers 1.1

For Teachers 11th - 12th
In this numbers 1.1 worksheet, students solve 64 problems about all kinds of numbers:  rational, irrational, prime, composite, square roots, fractions, decimals.
Lesson Plan
West Contra Costa Unified School District

Graph Square Root and Cube Root Functions

For Teachers 9th - 11th
Scholars first learn to graph square root and cube root functions by creating a table of values. They then learn how to graph functions from transformation of the graphs of the parent square root and cube root functions.
Lesson Plan
Curated OER

Dividing Radical Expressions

For Teachers 8th - 9th
In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
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...
Lesson Plan
Curated OER

Concept: Square Root

For Teachers 7th - 10th
In this square root worksheet, students solve problems with exponents. They find the square root of given numbers. Students ill in missing numbers on a radical clock face. This eleven-page worksheet contains notes, detailed instructions...
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....
Lesson Plan
Curated OER

Square Roots

For Teachers 7th - 8th
Students differentiate between perfect roots and rational roots. In this algebra lesson plan, students perform operation using roots. They add, subtract, multiply and divide rational expressions.