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# Experts on Exponential Equations

Lesson 7 of 11

## Objective: SWBAT solve exponential equations using inverses and graphing.

## Big Idea: Student teams become experts on one approach to solve an exponential or logarithmic equation and present the method to the class.

*40 minutes*

Students should complete the 4 **Clicker Questions** on pages 2-5 of today’s flipchart (solving exponentials using inverses). The questions review the basic definitions of logarithms and the natural logarithm.

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This activity is a great opportunity for students to demonstrate their progress with **Mathematical Practice 3**.** **I am going to assign each team one example problem from the Solving Exponential and Log Equations handout. Each team will have 5 minutes to work through the problem and become an expert on solving it. Later, they will present their findings to the class. As they work they will need to make clear the reasoning behind their work in order to justifying the final answer.

Once about 5 minutes have passed, I am going to have the teams find the one other team in class that worked on the same problem (or two since I have 11 teams total). Then, I want these teams to compare answers and revise. They will now form a new team and make a plan to collectively present the material.

**Differentiation: **While assigning problems to teams I will keep each team’s ability level in mind. The problems do have a range of difficulty. Example 2 would be best to assign to lower level teams as this is an important concept for students to practice and they already have some prior knowledge on this. Example 1 would be a good problem to assign to students with a low reading level or low English proficiency. There is very little language, but keep in mind that the math is a little more challenging. Example 5 requires strong calculator skills so that would be great for a technology savvy team.

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Each expert team will now present to the class. I don’t like to give too much direction on how teams present their findings. However they think will best teach their peers works great for me. Each team will have only 2 minutes to present. Yes, the time goes quick. So the point is for students to find the most efficient way to explain their process.

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Students’ presentations will trump this closure, so if time permits I would like students to complete a 3-2-1 Assessment for the unit. The directions are on the last page of the flipchart.

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- UNIT 1: Basic Functions and Equations
- UNIT 2: Polynomial Functions and Equations
- UNIT 3: Rational Functions and Equations
- UNIT 4: Exponential Functions and Equations
- UNIT 5: Logarithmic Functions and Equations
- UNIT 6: Conic Sections
- UNIT 7: Rotations and Cyclical Functions
- UNIT 8: Cyclical Patterns and Periodic Functions
- UNIT 9: Trigonometric Equations
- UNIT 10: Matrices
- UNIT 11: Review
- UNIT 12: Fundamentals of Trigonometry

- LESSON 1: What Is A Log?
- LESSON 2: Graphing and Shifting Logs
- LESSON 3: Discovering Log Rules (because logs rule!)
- LESSON 4: Applying Log Rules
- LESSON 5: Puzzling Log Equations
- LESSON 6: Solving Exponential Equations Using Logs
- LESSON 7: Experts on Exponential Equations
- LESSON 8: Modeling Exponentials Using Logarithms
- LESSON 9: Speed Dating with Logarithms
- LESSON 10: Logarithmic Equations Test Review
- LESSON 11: Logarithmic Equations Unit Test