Activity
Discovery Education

Discovery Education: Web Math: Factor Polynomial by Rewriting It as the Difference Between Two Squares

For Students 9th - 10th
This WebMath site includes an interactive problem solver. Use it to factor a polynomial that is the difference between two perfect squares. The website will bring back a full explanation behind the answer.
Handout
Quia

Ixl Learning: Square Numbers

For Students 3rd - 5th Standards
Brush up on your math skills relating to square numbers then try some practice problems to test your understanding.
Interactive
Fun Brain

Fun Brain: Tic Tac Toe Squares

For Students 6th - 8th Standards
Players simplify square roots to win the tic tac toe learning game.
Activity
Other

Mathebook.net: Middle: Square Root

For Students 6th - 8th Standards
The online virtual self-checking resource has students practice calculating the square root of a number.
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
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.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Factor Polynomials Using Special Products

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers factoring perfect square trinomials and the difference of squares.
Lesson Plan
PBS

Pbs Learning Media: Exponents and Radicals: Targeted Math Instruction

For Teachers 9th - 10th Standards
This instructional activity focuses on exponents and radicals as they apply to problems involving squares, perfect squares, and square roots.
Unit Plan
Khan Academy

Khan Academy: Special Products of Binomials

For Students 9th - 10th
Find special products (perfect squares and difference of squares) of "advanced" binomials: binomials with leading coefficients other than 1; binomials with higher degrees; and binomials with two variables. Students receive immediate...
Lesson Plan
Alabama Learning Exchange

Alex: What's My Number

For Teachers 6th - 8th
In this lesson plan, 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.
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.
Activity
Help Algebra

Help algebra.com: Factoring Polynomials

For Students 9th - 10th
Several types of factoring are covered in this article, including common factors, grouping, special factors, and completing the square. The examples include detailed explanations of the factoring process.
Handout
CK-12 Foundation

Ck 12: Algebra: Solving Quadratic Equations Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to review solving quadratic equations. Examples are included.
Unit Plan
Sophia Learning

Sophia: Introduction to Roots and Radicals

For Students 9th - 10th
Sophia: Introduction to Roots and Radicals uses teacher tutorials and online assessments to introduce and analyze concepts such as Even Roots, Negative Numbers, Odd Roots, Partial Root, Perferct Squares, Radicals Root, and Roots.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Simplification of Radical Expressions

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Evaluate radical expressions including perfect squares, cubes and approximate square roots.
Activity
Help Algebra

Help algebra.com: Simplifying Radical Expressions

For Students 9th - 10th
Simplifying radicals that do not contain perfect squares can be done easily by following the steps outlined on this resource. Use the examples to see exactly how to do this.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Simplification of Radical Expressions

For Students 8th - 9th
[Free Registration/Login may be required to access all resource tools.] Learn how to simplify different forms of radicals.
Unit Plan
Khan Academy

Khan Academy: Special Products of Binomials Intro

For Students 9th - 10th
Find perfect squares of the forms (x+a)squared and (x-a)squared, and differences of squares of the form (x+a)(x-a). Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Handout
Cut the Knot

Cut the Knot!: What Is a Number?

For Students 9th - 10th Standards
Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.
Handout
CK-12 Foundation

Ck 12: Algebra: Irrational Numbers and Radicals Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to review irrational numbers and radicals. Examples are included.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Fractional Exponents

For Students 8th Standards
[Free Registration/Login may be required to access all resource tools.] Evaluate radical expressions and fractional powers
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Properties of Rational Numbers

For Students 7th
[Free Registration/Login may be required to access all resource tools.] Recognize and identify irrational numbers and the set of real numbers
Graphic
Curated OER

Eqnarray11

For Students 9th - 10th
In this lesson, special cases of factoring are described, including perfect squares, difference of squares, and difference and sum of cubes. Exercises with answers included.
Graphic
Curated OER

Eqnarray23

For Students 9th - 10th
In this lesson, special cases of factoring are described, including perfect squares, difference of squares, and difference and sum of cubes. Exercises with answers included.

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