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Illustrative Mathematics

Rational or Irrational?

For Teachers 9th - 12th Standards
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
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Integrated Publishing

Integrated Publishing: Trinomial Squares

For Students 9th - 10th
Discussion on trinomial squares. Includes examples as well as practice problems.
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Texas Instruments

Texas Instruments: Estimating Square Roots

For Teachers 9th - 10th
By estimating the value of a square root students will get practice in identifying perfect squares, in checking for reasonableness of an answer, and in mental math.
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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.
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Math Is Fun

Math Is Fun: Squares and Square Roots

For Students 9th - 10th Standards
The learning activity examines squares and square roots. Topics include perfect squares, how to square a number, and the square root symbol. The resource consists of explanations and examples.
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.
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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
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.
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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.

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