### Summary

This lesson addresses rules for exponents. Students will discover the rules for exponents through an exploration of numerical expressions and visual representations of exponents. Prerequisites for this lesson include an understanding of the components of an exponent. This lesson allows students to explore digital breakouts while using rules of exponents.

### Essential Question(s)

How can properties of integer exponents create expressions?

### Snapshot

**Engage**

Students will watch a video of growing bacteria to observe the exponential growth rate of an epidemic breakout.

**Explore**

Students will discover rules of exponents through numerical, visual, and conjectures.

**Explain**

Students will clarify and create exponent rules from exploration activity.

**Extend**

Students will complete a digital breakout using rules of exponents.

**Evaluate**

Students will complete us a Muddiest Point strategy to identify information that needing clarification.

### Materials

Exponent Rules: Digital Breakout slides

"Components of Exponents" handout

"Rules of Exponents" handout

"You Found the Cure" handout

"Muddiest Point Exit Ticket" handout

Computers/Laptops or other internet-connected devices

### Engage

Begin the slide show, introducing the lesson and the Essential Question on slide two: "How can properties of integer exponents create expressions?" Set the stage by telling students that today they will form "medical" teams to find a cure for a growing epidemic. They'll need to be successful in order to save the world!

Show slide 4 and introduce an I Notice, I Wonder strategy by asking students to make a T-chart in their notebooks. Have them label the left-hand side of the chart, "I Notice..." and the right-hand side, "I Wonder..."

Transition to slide five. Show the 15-second bacteria video (the full URL is listed in the Resources below as well). After the video, have students fill in at least one thing they noticed in the left-hand side of their chart. Then have the students fill in at least one thing they wonder in the right-hand side.

Lead a whole-class discussion on the students' "I Notice..." and "I Wonder..." statements. You can use slide six to jot record observations for the class to see. This will help with creating a background story and visual reference for students to retain for the Extend storyline later in this lesson.

### Explore

Pass out the Components of Exponents handout. Group students in pairs to complete the handout.

Display slide 10. The Components of Exponents handout allows students to work with exponents to understand the components of a power. Students will demonstrate their knowledge through expanded notation (not using exponents), numerical notation through standard notation, and visually.

**Skip to the Explain for Components of Exponents.**

After the Explain for Components of exponents, have students complete the Rules of Exponents handout.

The Rules of Exponents handout allows students to discover the rules for operations with exponents. Following the example given, students will write numerical expressions, write a rule, and demonstrate the rule. Slides 15 through 19 break down the handout into sections that you can display to guide the discussion of each rule.

**Skip to the Explain for Rules of Exponents.**

### Explain

**Explain for Components of Exponents:**

Display slide 20 and Introduce an Inverted Pyramid strategy. Have students join with another pair to discuss the exponent components they discovered. After a few minutes, have the new group of four students join another group of four to discuss the components. After another few minutes, come together for a whole-class discussion about what components or patterns the students discovered with the exponents.

**Have students return to their original pairs and complete the Explore for Rules of Exponents, before moving on to the Explain for Rules of Exponents.**

**Explain for Rules of Exponents:**

Ask students use the Inverted Pyramid strategy again. Have students join with another pair to discuss the exponent rules they discovered. After a few minutes, have the new group of four students join another group of four to discuss the rules. After another few minutes, come together for a whole-class discussion about what rules or patterns the students discovered with the exponents.

### Extend

Display slide 22. Have students return to their original pairs or re-pair them as you feel is needed. Each pair will need Chromebook, iPad, computer, or another device to access the Epidemic Breakout . (The full URL for the website can be found in the resources below and in the slide show.)

Students will need to find the clues hidden in the digital breakout in order to "save the world." Each clue covers one of the exponent operations. Once a clue is completed, it will create a key to be typed in the space provided. Once all five keys are found, students will then submit the form. The form will notify the students if they entered an incorrect key. Once students have completed the breakout, distribute one "You Found the Cure!" handout to each pair. Students should enter the code, note where they found it, and how they solved for the clue.

### Evaluate

Display slide 24. Use a Muddiest Point strategy to have students complete the attached Exit Ticket. Ask your students "Of everything we have learned today, what do you feel most confident about? What is "crystal clear" to you?" Then ask them, "What do you feel least confident about? In other words, what is your "muddiest point" from today?" Give students time to think and answer both questions.

Use students' responses to evaluate their knowledge and to determine what needs to be revisited during the next instructional opportunity.

### Resources

Digital Breakouts. (n.d.). Retrieved from https://sites.google.com/norman.k12.ok.us/digbreakouts/digital-breakouts?authuser=2

Epidemic Outbreak. (n.d.). Retrieved from http://bit.ly/exponentsbreakout

Exploring Exponents. (n.d.). Retrieved from https://www.youcubed.org/tasks/exploring-exponents/

Izzo, D. (2007, July 29). Bacteria Growth. Retrieved from https://www.youtube.com/watch?v=gEwzDydciWc

K20 Center. (n.d.). Bell ringers and exit tickets. Strategies. Retrieved from https://learn.k20center.ou.edu/strategy/d9908066f654727934df7bf4f505d6f2

K20 Center. (n.d.). I notice, I wonder. Strategies. Retrieved from https://learn.k20center.ou.edu/strategy/d9908066f654727934df7bf4f507d1a7

K20 Center. (n.d.). Inverted pyramid. Strategies. Retrieved from https://learn.k20center.ou.edu/strategy/d9908066f654727934df7bf4f507a918

K20 Center. (n.d.). Muddiest point. Strategies. Retrieved from https://learn.k20center.ou.edu/strategy/baee4e90c5fa1a7060ca04dd8b003a81