A Trip through History (Multiplying, Dividing, and Rationalizing Square Roots)

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4.21 MB   |   10 pages

PRODUCT DESCRIPTION

Title:
A Trip through History (Multiplying, Dividing, and Rationalizing Square Roots)

Description of student activity:
Students will learn and practice the product and quotient properties of square roots as well as rationalizing monomial and binomial denominators. They will do this while also learning why rationalization is useful today as well as practice why it was useful prior to square rooting calculators.

To start this activity, students (or the teacher) will read the introductory handout pages. This handout will explain the product and quotient properties of square roots, rationalizing monomial denominators, and rationalizing binomial denominators with the conjugate.

After completing the handout, students will be guided through an explanation of why rationalizing is used now as well as why it was useful prior to calculators with a square root function. They will then practice simplifying radial expressions using a table of square root values instead of the square root function on their calculators. The resulting numbers will be multiplied together on their calculator and they will pretend they have an extended “Multiplication Table”.

The next section explains why rationalizing the denominator made simplifying fractions much easier by using a long division example of a rationalized and non-rationalized denominator in combination with the square root table. Students will then practice rationalizing monomial denominators and rationalizing binomial denominators with a conjugate.

Lastly, students will complete 7 matching problems while able to use their calculators fully. Some of these problems include variables that require rationalizing instead of simply using their calculators.

Download Includes:
- Lesson Handout (2 pages)
- Lesson (4 pages)
- Answer Key (4 pages)

Additional Licenses:
If you would like to copy this product for more than one teacher, please download additional licenses, available at 50% off the original price.

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Terms of Use:
This product is for a personal classroom use by a single teacher. Permission is granted to copy pages specifically designed for student or teacher use by the original purchaser or licensee. The reproduction of any other part of this product is strictly prohibited. Copying any part of this product and placing it on the Internet in any form (even a personal/classroom website) is strictly forbidden. Doing so is a violation of the Digital Millennium Copyright Act (DMCA).
Total Pages
10
Answer Key
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A Trip through History (Multiplying, Dividing, and Rationa
A Trip through History (Multiplying, Dividing, and Rationa
A Trip through History (Multiplying, Dividing, and Rationa
A Trip through History (Multiplying, Dividing, and Rationa
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