Unit Plan
CK-12 Foundation

Ck 12: Algebra: Factorization Using Difference of Squares

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Factor the difference of two squares and perfect square trinomials and solve quadratic polynomial equations by factoring.
Interactive
Quia

Quia: Square Roots (Concentration Game)

For Students 6th - 8th Standards
This concentration game explores square roots. There is a link to a list of the numbers being used so students can check their answers.
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
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.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Factoring Polynomials

For Students 9th - 10th
This site from the University of Saskatchewan provides an explanation of factoring by grouping, greatest common factor, perfect squares, and difference of squares. Higher degree polynomials factored as well. Some examples provided along...
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.
Lesson Plan
Alabama Learning Exchange

Alex: What's My Number

For Teachers 6th - 8th
In this lesson, eighth grade middle schoolers 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
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.
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.