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Equations With Rational Exponents Assignment Notebook

My Algebra 2 students have moved into logarithm territory, so I guess it's best time I post the rest of our interactive notebook pages regarding radicals.  We sort of got off to a bad start with logarithms.  I seriously blame it on the winter weather.  But, I think most of my students have finally caught on and realized that logarithms only look scary.  But, more about them in a future post.

Radicals.  Earlier, I posted pictures of the pages we made that dealt with prime factorization, parts of a radical, simplifying radicals, adding and subtracting radicals, and multiplying radicals.  The latter half of our unit covered dividing radicals, rationalizing the denominator, and converting between radical form and rational exponent form.

I shared with my students the reason why standardized tests require them to rationalize the denominator.  I gave them a long division problem to do by hand.  It was not pretty.  They cannot divide.  At all.  If I had more time, I would have had them write a persuasive paper over whether students should be required to rationalize the denominator in this day and age of technology.  I hate the fact that I have so much to cover in Algebra 2.  The majority of my students' Algebra 1 background is extremely lacking, however.  So, I've had to do some necessary reteaching.  Plus, I still have to make sure I teach all of the Algebra 2 standards.  It's a lot to do, but I'm doing the best that I can.

Multiplying and Dividing Radicals
Dividing Radicals Interactive Notebook Page

Rationalizing the Denominator and Converting Between Radical Form and Rational Exponent Form
Rationalizing the Denominator Interactive Notebook Page
Converting Between Rational Exponent Form and Radical Form INB Page

I gave this page to my students, and I instructed them to choose a variable of their choice for the index of their radical and for the exponent of their radicand.  One of my students thought it would make sense to use the variable e for the exponent and the variable i for the index.  When you convert to rational exponent form, the exponent goes over the index in the fraction that forms the exponent.  Exponent Over Index.  EOI.  The standardized tests that Oklahoma high school students take at the end of the year are known as End-Of-Instruction (EOI) tests.  So, this mnemonic device really only has special meaning to Oklahoma high school students.  But, I was so proud of my student for creating something to help her remember something she deemed important and sharing it with the class.  I was so impressed, I shared the idea with my other Algebra 2 period.  They didn't seem too thrilled or impressed, but I saw some students writing "EOI" on their quizzes.  So, I think it helped.  

I'm thinking that you could maybe find a way to relate it to Old MacDonald???  "Old MacDonald Had a Farm.  E I E I O."  Okay, maybe that's stretching it.  

PDF templates have been uploaded below.  You will need Flash/Shockwave to view.  If you cannot view these files, send me an e-mail, and I will be happy to send them to you in an attachment.

Dividing Radicals (PDF)

Rationalizing The Denominator (PDF)

Converting Between Rational Exponent Form and Radical Form (PDF)

Product Description

Algebra 2 Honors: Rational Exponents

This is the fourth lesson in an eight-lesson unit on Radical Functions and Rational Exponents designed for Algebra 2 Honors students who have a solid foundation in solid foundation in graphing and algebraic operations on functions.

The product includes everything you need to teach a rigorous lesson:
✎ Two options of an 8-page Bound-Book Foldable©
✎ SMART Board® Presentation
✎ Homework assignment
✎ Two forms of a Daily Quiz (can be used as a warm up, exit ticket, or a homework check)
✎ Answer keys and directions for assembly of the foldable

Students will be able to:
★ Select and apply the appropriate method to simplify expressions with rational exponents

The unit includes the following topics:
1) Roots and Radical Expressions
2) Multiplying and Dividing Radical Expressions
3) Binomial Radical Expressions
4) Rational Exponents
5) Solving Square Root and Other Radical Equations
6) Function Operations
7) Inverse Relations and Functions
8) Graphing Radical Functions

The SMART Board lesson can be used in many ways.
Teachers can display the presentation using the following:
* SMART Board ®
* Airliner Wireless Slate
* SMART Notebook for IPAD App
* Through the SMART Notebook Express ®
* Promethean Boards©
* Other APPS available for Tablets

You may also be interested in:
>Graphing Radical Functions Match Up Activity
Radical Functions and Rational Exponents Stations Activity
Radical Functions Unit Bundle
Here is a FREE ITEM that complements the unit.
Simplified Radical Form FREEBIE


If you have any questions or comments
please contact me by email at: jean@flamingomath.com

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Teaching Duration

50 minutes

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