Activity
Discovery Education

Discovery Education: Web Math: Simplify a Term Under a Radical Sign

For Students 6th - 8th Standards
This site walks you step-by-step through simplifying an expression under a square root sign. Type your problem into the "math solver," and your answer, complete with a full description, is provided.
Activity
Discovery Education

Discovery Education: Web Math: Simplify a Term Under a Radical Sign

For Students 9th - 10th
This site walks you step-by-step through simplifying an expression under a square root sign. Type your problem into the "math solver," and your answer, complete with a full description, is provided.
Activity
Integrated Publishing

Integrated Publishing: Rational and Irrational Numbers

For Students 9th - 10th Standards
Content, suitable for an introductory algebra course, explains the difference between rational and irrational numbers, how to rationalize the denominator, how to evaluate radicals and the square root process. Practice problems included.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Square Roots and Irrational Numbers

For Students 9th - 10th Standards
Math Forum response to whether square roots of all non-perfect squares are irrational. Contains a proof showing that such cases are, indeed, irrational.
Unknown Type
Khan Academy

Khan Academy: Square and Cube Challenge

For Students 7th - 8th Standards
Practice solving problems using your knowledge of square and cube roots. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Complex Numbers

For Teachers 9th - 10th Standards
A wealth of material to help you plan classroom instruction on complex numbers: several lessons that cover the number i, square roots of negative numbers, and operations involving complex numbers; practice activities, some of which...
Handout
University of Cambridge

University of Cambridge: Nrich: Irrational Proof

For Students 9th - 10th Standards
This site contains a proof that the square roots of all prime numbers are irrational.
Interactive
Fun Brain

Fun Brain: Tic Tac Toe Squares (Math Facts Games)

For Students 5th - 8th Standards
Players practice adding, subtracting, multiplying, and dividing skills while playing virtual Tic Tac Toe. They can also try their hand at squares, cubes, and square roots.
Interactive
Other

Answermath: Raiz

For Students 9th - 10th
An online root game which offers practice in mental math and times practice. When you submit the wrong answer, it provides the correct one. Students and teachers can choose square root or cube root problems. In Spanish, with links to...
Activity
Texas Instruments

Texas Instruments: Study Cards

For Teachers 6th - 8th
Students use the StudyCard stack to review their understanding of squares and square roots.
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Activity
Interactive Mathematics

Interactive Mathematics: Roots and Radicals

For Students 9th - 10th Standards
Here you'll find information on radicals: notation, symbols, and laws for simplifying. The information is brief, but easy to follow.
Lesson Plan
PBS

Pbs Learning Media: Exponents and Radicals: Targeted Math Instruction

For Teachers 9th - 10th Standards
This lesson plan focuses on exponents and radicals as they apply to problems involving squares, perfect squares, and square roots.
Handout
Math Open Reference

Math Open Reference: Root (Of a Number)

For Students 9th - 10th Standards
Learn how to find the root of a number. Topics covered include two roots, roots of negative numbers, and imaginary numbers. This site offers descriptions along with multiple examples.
Activity
Texas Instruments

Texas Instruments: Walking the Fence Line

For Teachers 6th - 8th
In this activity, students use the Geoboard to determine the perimeter of polygons. They learn to picture square roots visually as the side length of a square.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Trigonometric Equations Using Factoring

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving trigonometric equations using factoring, square roots, and the quadratic formula.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Multiplication and Division of Radicals

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] In this lesson student learn about dividing square roots. Students examine guided notes, review guided practice, watch instructional videos and attempt practice...
Website
Cool Math

Coolmath: Solving Quadratics Recap

For Students 9th - 10th Standards
This CoolMath resource reviews the ways to solve quadratic equations: factoring, finding square roots, and using the quadratic formula.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N cn.c.7 and a rei.b.4.a: Completing the Square

For Teachers 9th - 10th
The goal of this task is to solve quadratic equations with complex roots by completing the square. Aligns with N-CN.C.7 and A-REI.B.4.aI.
Activity
Texas Instruments

Texas Instruments: Knowing About Numbers

For Teachers 9th - 10th
Students experience square roots, perfect squares, and absolute value to enhance their knowledge of numbers. Taking this awareness, students apply it to operations with integers.
Lesson Plan
Alabama Learning Exchange

Alex: What's My Number

For Teachers 6th - 8th
In this instructional activity, eighth grade students will learn the steps necessary to approximate the square roots of numbers that are not perfect squares. Students will use a number line as a visual aid to complete this task.
Handout
Wolfram Research

Wolfram Math World: Principal Square Root

For Students 9th - 10th
MathWorld offers an explanation for the concept of principal square root is found here.
Activity
Oswego City School District

Regents Exam Prep Center: Simplifying Radicals

For Students 9th - 10th
Use this site to learn how to simplify radicals, even when the radical is not a perfect square. These examples will be a guide to you in simplifying all kinds of radicals.
Activity
Help Algebra

Help algebra.com: How to Rationalize the Denominator

For Students 9th - 10th
What do you do if the denominator contains a radical? This article explains how to rationalize a denominator that contains square roots, higher roots and the sums and differences of square roots. The examples also include problems that...