Reflection: High Quality Task Laws of exponents - Section 3: Huddle

 

This year, I've raised the bar for what I expect for students to demonstrate their understanding.  In the days following this lesson, I ask kids to "prove" the various properties of exponents using an annotated example that proves that you can, for example, subtract exponents when you divide amounts. 

 

This has led to a much deeper understanding of the various properties of exponents, and also created so much more understanding around both the zero property and negative exponents.

 

See the student work I uploaded - and scroll down to the bottom of the page to see one student's work.  She used the example of 9^3 divided by 9^2 to prove that this is 9^1.  Rather than use the word "cancel," I push the kids to see that they are creating "ones" -- 9 over 9 is 1.  I think this concept is helpful in continuing to push their algebraic understanding.

  High Quality Task: Getting Students To Prove the Laws of Exponents
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Laws of exponents

Unit 6: EXPONENTS AND SCIENTIFIC NOTATION
Lesson 1 of 10

Objective: SWBAT prove and apply properties of integer exponents.

Big Idea: Use logical reasoning to prove the properties of integer exponents. These rules are not made up - they make mathematical sense!

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26 teachers like this lesson
Subject(s):
Math, Number Sense and Operations, Exponents, 8th grade, properties of exponents
  75 minutes
jeff li 6 1 resized
 
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