Reflection: Developing a Conceptual Understanding Powers of Products and Quotients - Section 4: Application


Before putting together this lesson for the project, I would allow students to use the term distribute as a verb to exemplify what to do when simplifying using the power of products rule.  “Distribute the exponent among each of the factors” and simplify. This quite frequently appears in texts and other internet resources as something permissible. Yet I’ve perceived that by allowing this, students may fall into the mistake of “distributing” the exponent among the addends in examples such as (a +  b)2 with much more ease than they already do.  After all, students have learned that the distributive property is used over addition and subtraction          { a(b ± c) = ab  ± ac }.  Given 8th grader’s learning stage, with respect to real number properties, I feel that the term “distribute” should be kept in its place and not mixed in with the exponent properties. I’d make sure students understand WHY the power of a product or quotient works before using any term as a short cut to the answer.  Maybe terms like “issue, allocate, or even saying “each factor receives” can be used instead. 

  Distribute the power??
  Developing a Conceptual Understanding: Distribute the power??
Loading resource...

Powers of Products and Quotients

Unit 4: Powers and Exponents
Lesson 5 of 16

Objective: SWBAT simplify Powers of Products and Quotients

Big Idea: This lesson introduces and applies the last two of the basic properties of powers!

  Print Lesson
5 teachers like this lesson
image power product quotient
Similar Lessons
Properties of Exponents (Day 1 of 2)
Algebra I » Polynomials
Big Idea: Students will use Cheerios to visualize 4 important properties of exponents (Product Rule, Quotient Rule, Power to a Power, and Power to a Quotient)
Washington, DC
Environment: Urban
Noelani Davis
Pay it Forward
8th Grade Math » Law and Order: Special Exponents Unit
Big Idea: Exponential growth can have an amazing impact in a small amount of time.
New York, NY
Environment: Urban
Shaun Errichiello
Laws of Exponents - Negative and Zero Powers
8th Grade Math » Exponents and Radicals
Big Idea: Memorization is short term knowledge but understanding endures time.  Create the rules for exponents by expanding the bases to understand.
Bowling Green, KY
Environment: Suburban
Christa  Lemily
Something went wrong. See details for more info
Nothing to upload