# Properties of Exponents (Day 2 of 2)

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## Objective

SWBAT simplify Algebraic expressions using properties of exponents

#### Big Idea

Students will use a calculator to investigate the Zero and the Negative Exponent Property.

## Do-Now

10 minutes

Students will complete the Do-Now in 5 minutes. We will then review the answers as a whole group.

Next, a student will read the objective, "SWBAT simplify Algebraic expressions using properties of exponents".

Before moving forward, I will pass back the graded exit cards from our last class. I will call on student volunteers to explain the correct answers to the group in their own words.

## Investigation

10 minutes

Students will complete the Exponent Investigation with a partner using a graphing calculator. In order to complete this activity, students must express their answers as a fraction.

After completing the table, we will share out the results of the table aloud. I will ask students to share the conclusions that they were able to come up with, and then ask them to apply their conclusions to exponential expressions that contain variables.

## Guided Notes + Practice

30 minutes

Students will follow along using this Presentation and Guided Notes. Students should also refer to the notes we used during our last class.

For each property, I will  begin by providing the class with four solved problems to write in the "Example" column in their guided notes. We will then work together as a class to derive a few sentences that explain the property for the "Rule" column. I will then ask a few student volunteers to come up to the front to use the information we concluded during our exponent investigation to prove that our explanation is correct. Students will then draw a visual example in the "Why This Works" column.

Students will complete the You Try section with a partner. We will then review the responses as a whole group.

## Independent Practice

20 minutes

Students will practice simplifying expressions using properties of exponents using this Handout from the Kuta Software website.

Students will work in pairs. As students are working I will circulate around the room to give assistance. I will allow students who are struggling with the concept to use Cheerios used in our last class to aid them in their mathematical reasoning.

After 10 minutes, I will call on student volunteers to come up to the front of the room to lead the whole group through a review of the correct responses.

## Closing

10 minutes

I will ask a few students to summarize what we learned in class today, and to describe how they would teach this content to a classmate who has been absent. Students will then complete an Exit Card.