Rules of Exponents. Foldable Notes Lindsay Perro. Help your students get beyond traditional notes and have a fun way to organize their ideas!

Transcription

1 Rules of Exponents Foldable Notes Help your students get beyond traditional notes and have a fun way to organize their ideas! Created by: Lindsay Perro 204 Lindsay Perro

2 Foldable T ips! Why use foldables? Foldables provide your students with a hands on way to write notes. They don t realize they are still learning when they are folding, cutting and gluing/taping! What do I need? Two sided tape - Yes, it s a bit pricey but you can add it to your supply list. It is not as messy as liquid glue, won t peel off like a glue stick and you don t have to wait for it to dry or have lumpy, soggy papers! Colorful paper - I prefer cardstock because it is strong. If you can t get your hands on a large amount of colorful paper, white copy paper will be fine but have your students use colored pencils (no markers they will bleed through standard paper) to add some pops of color! Scissors Depending on your students, you may want to do some of the cutting. If not, be sure each student has his/her own pair of scissors. Sharing will cause this process to take a lot longer! 204 Lindsay Perro

3 Rules of Exponents How to use : Cut along the dotted lines and fold on the solid lines (use picture as a guide.) Copy page 5 of this document this will be the front of the foldable. Pick one of the three additional pages to copy on the back. You may need to practice with your printer/copier settings to ensure it copies in the correct direction on the back. Options : I have provided three different versions of the foldable.. Completely blank. Have your students write in the notes and examples, OR use the cutouts and glue in the notes and/or examples. 2. Notes written in. The notes have already been typed in this version. Students need to write in the example. 3. Examples filled in. The examples have been filled in, but not the notes. This version provides students with the ability to analyze the examples, and determine the rules themselves. Recommended. 4. Notes & Examples written in. Use this version especially for students who have writing difficulties or have IEPs that require them to be given preprinted notes. 204 Lindsay Perro

4 Completed Example 204 Lindsay Perro

5 Product Rule Quotient Rule Power Rules Negative Exponent Rule Back of foldable 204 Lindsay Perro Zero Exponent Rule

6 Exponent Rules Power of a Power Power of a Product

7 When multiplying base and add the Exponent Rules When dividing base and subtract the Power of a Power To raise a power to a power, multiply the exponents. Power of a Product Each base is raised to the power A negative exponent causes the number to be re-written as the reciprocal of the original number and the exponent becomes positive. Any number raised to the zero power is equal to one.

8 + xᵐ = ᵐ 4² 4⁴ = Exponent Rules Power of a Power Power of a Product - xᵐ = ᵐ 4⁹ = 4³ ()ᵐ = ᵐ (4²)⁶ = 4¹² (xy)ᵐ = xᵐyᵐ (4 5)⁶ = 5⁶ x ⁿ = 4 ⁶ = n = 4 =

9 When multiplying base and add the + xᵐ = ᵐ 4² 4⁴ = Exponent Rules When dividing base and subtract the Power of a Power To raise a power to a power, multiply the exponents. Power of a Product Each base is raised to the power A negative exponent causes the number to be re-written as the reciprocal of the original number and the exponent becomes positive. - xᵐ = ᵐ 4⁹ = 4³ ()ᵐ = ᵐ (4²)⁶ = 4¹² (xy)ᵐ = xᵐyᵐ (4 5)⁶ = 5⁶ x ⁿ = 4 ⁶ = Any number raised to the zero power is equal to one. n = 4 =

10 Exponent Rules Notes Cut-Outs (for 2 foldables) When multiplying base and add the When multiplying base and add the When dividing base and subtract the Power of a Power To raise a power to a power, multiply the exponents. Power of a Product Each base is raised to the power When dividing base and subtract the Power of a Power To raise a power to a power, multiply the exponents. Power of a Product Each base is raised to the power A negative exponent causes the number to be re-written as the reciprocal of the original number and the exponent becomes positive. Any number raised to the zero power is equal to one. A negative exponent causes the number to be re-written as the reciprocal of the original number and the exponent becomes positive. Any number raised to the zero power is equal to one. 204 Lindsay Perro

11 Exponent Rules Examples Cut-Outs (for 3 foldables) xᵐ = ᵐ xᵐ = ᵐ xᵐ = ᵐ 4² 4⁴ = xᵐ 4⁹ = 4³ ()ᵐ = ᵐ (4²)⁶ = 4¹² - 4² 4⁴ = xᵐ 4⁹ = 4³ ()ᵐ = ᵐ (4²)⁶ = 4¹² - 4² 4⁴ = xᵐ = - ᵐ 4⁹ = 4³ ()ᵐ = ᵐ (4²)⁶ = 4¹² (xy)ᵐ = xᵐyᵐ (4 5)⁶ = 5⁶ (xy)ᵐ = xᵐyᵐ (4 5)⁶ = 5⁶ (xy)ᵐ = xᵐyᵐ (4 5)⁶ = 5⁶ x ⁿ = 4 ⁶ = n = 4 = x ⁿ = 4 ⁶ = n = 4 = x ⁿ = 4 ⁶ = n = 4 = 204 Lindsay Perro

12 Terms of Use 204 Lindsay Perro. Your download includes a limited use license from Lindsay Perro. The purchaser may use the resource for personal classroom use only. The license is not transferable to another person. Other teachers are able to purchase their own license through my store. This resource is not to be used: By an entire grade level, school or district without purchasing the proper number of licenses. For a large number of licensees, please me at lindsayperro@gmail.com As part of a product listed for sale or free by another individual. On shared databases. Online in any way other than on a password protected website for student use only. Copying any part of this product and placing it on the internet in any form (with the exception of a single teacher s password protected website used by students only) is strictly forbidden and is a violation of the Digital Millennium Copyright Act (DMCA). These items can be picked up in a Google search and then shared worldwide for free. Thank you for respecting my work! Font licenses for this product were purchased from: Lindsay Perro

13 Are you looking for ways to make Middle School Math and Algebra more relevant and fun? Are you tired of the same old textbooks and black & white worksheets? Find me online and go Beyond the Worksheet! Blog Facebook Pinterest