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# Applications of Exponential Functions Review

Lesson 25 of 26

## Objective: Students will be able to identify their strengths and weaknesses related to the skills and ideas of this unit and to review the key gaps in their knowledge.

#### Review

*70 min*

The purpose of today's class is for students to make sure that they have fully mastered the key skills of the unit. The session is deliberately not structured, because the students should structure their own review.

I immediately distribute the practice quiz to students and then I spend the first 15 minutes of the class period circulating to help students choose their areas of focus. I instruct students to start with the problems they do not know how to do, and then to organize their resources to get started.

If students do not stay focused with this loose structure, I occasionally assign study groups. Often I have them start out in seats of their choosing, and then once I have observed their level of focus, along with their strengths and weaknesses, I assign them a study group to collaborate with in completing the review.

Another strategy to organize the review is to ask one or two students to serve as the "Class Expert" for each problem and to post these on the board. Then as other students struggle with problems, I direct them to these class experts.

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#### Reflection

*10 min*

I like to take several minutes at the end of the review session to ask students to reflect on how effectively they used their time and on any other topics they need to review in greater depth before tomorrow's quiz. You can circulate and have this conversation with each group or pair of students, or you can ask students to write down their answers to some reflection questions:

(1) How well did you use your time today? Explain.

(2) What did you do that you think helped you be prepared for this quiz?

(3) What could you still do tonight to be prepared for the quiz tomorrow? Which topics in particular do you need to review? What resources can you use to help you?

I like to create a culture of reflection in my class, which happens only if you constantly ask students to reflect. Even though their answers to these particular questions might not be especially revealing, the more often that you ask these types of questions, the more comfortable students will become thinking this way.

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- UNIT 1: Linear and Nonlinear Functions
- UNIT 2: Piecewise Functions
- UNIT 3: Absolute Value Functions and More Piecewise Functions
- UNIT 4: Introduction to Quadratic Functions through Applications
- UNIT 5: More Abstract Work with Quadratic Functions
- UNIT 6: Rational Functions
- UNIT 7: Polynomial Functions
- UNIT 8: Exponential Functions
- UNIT 9: Ferris Wheels
- UNIT 10: Circles
- UNIT 11: Radical Functions
- UNIT 12: Cubic Functions

- LESSON 1: Bunnies and Exponential Growth
- LESSON 2: More Bunnies and Exponential Growth
- LESSON 3: Candy Bars and Exponential Decay
- LESSON 4: Bunnies and Exponential Equations
- LESSON 5: Graphing Bunnies
- LESSON 6: Exponential Data Tables
- LESSON 7: Fitting Exponential Functions Given Two Points
- LESSON 8: Matching Exponential Graphs to Equations
- LESSON 9: Exponential Functions Review
- LESSON 10: Exponential Functions Portfolio and Summative Assessment
- LESSON 11: Exponential Functions and Approach Statements
- LESSON 12: Graphing Exponential Functions
- LESSON 13: Matching Graphs of Exponential Functions to their Equations
- LESSON 14: Exponential Function Designs
- LESSON 15: Graph Exponential Functions Review
- LESSON 16: Graph Exponential Functions Summative Assessment and Portfolio
- LESSON 17: Bouncy Ball Investigation
- LESSON 18: Percent Change: Growth and Decay
- LESSON 19: More Percent Changes and Exponential Functions
- LESSON 20: Writing Exponential Functions to Solve Problems
- LESSON 21: Different Time Intervals and Exponential Functions
- LESSON 22: Compound Interest
- LESSON 23: Compound Interest Formula
- LESSON 24: Continuously Compounded Interest
- LESSON 25: Applications of Exponential Functions Review
- LESSON 26: Applications of Exponential Functions Summative Assessment