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* *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*

# Laws of exponents

Lesson 1 of 10

## Objective: SWBAT prove and apply properties of integer exponents.

#### Warm-Up

*10 min*

Before asking students to complete today's Warm-Up, I want to do something a little bit silly to help students accomplish the change in mindset that I want them to undertake as we begin to talk about exponents. I provide an overview of my plan for launching class in this video narrative.

Here is the ice-breaker that I show in the video narrative:

Source url: https://www.youtube.com/watch?v=leH7IU4yOWE (accessed April 2, 2014)

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#### Huddle

*10 min*

In this lesson, I like to review the silver problem (see 6 - 1 huddle image). Not only do I ask for the correct answers, I ask students to say what was most likely to be popular wrong answers. By doing this, I try to highlight key misconceptions so students deepen their understanding.

The silver and gold problems are from Holt Algebra I.

#### Resources

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#### Homework

*15 min*

Homework 6 - 1 HW79 Laws of exponents is to be completed at home and should take students approximately 15 minutes.

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- UNIT 1: FLUENCIES AND THE LANGUAGE OF ALGEBRA
- UNIT 2: SOLVING LINEAR EQUATIONS
- UNIT 3: INTRODUCTION TO FUNCTIONS
- UNIT 4: INTERPRETING AND COMPARING LINEAR FUNCTIONS
- UNIT 5: SYSTEMS OF LINEAR EQUATIONS
- UNIT 6: EXPONENTS AND SCIENTIFIC NOTATION
- UNIT 7: PARALLEL LINES, TRANSVERSALS, AND TRIANGLES
- UNIT 8: CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS
- UNIT 9: PATTERNS OF ASSOCIATION IN BIVARIATE DATA
- UNIT 10: SLOPE REVISITED
- UNIT 11: VOLUME OF CYLINDERS, CONES, AND SPHERES
- UNIT 12: POLYNOMIALS AND FACTORING
- UNIT 13: QUADRATIC FUNCTIONS

- LESSON 1: Laws of exponents
- LESSON 2: Zero and negative exponents
- LESSON 3: Apply properties to general equivalent expressions
- LESSON 4: Scientific Notation
- LESSON 5: Perform operations with scientific notation 1
- LESSON 6: Perform operations with scientific notation 2
- LESSON 7: Scientific notation - How many times larger?
- LESSON 8: Flexible problem solving with scientific notation
- LESSON 9: Review exponents and scientific notation
- LESSON 10: Assessment #11 - Exponents Unit Assessment