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.