##
* *Reflection: Real World Applications
Elephant Tracks! - Section 2: Class Discussion

The attached student work shows two successful attempts at finding the age of an elephant. These two groups not only utilized sound mathematical reasoning to complete the task, but they were also able to repeat their processes back to me when I asked. It can't be seen from the pictures, but it was very helpful for the groups to solve the problem on the back of the footprint (or on a scrap piece of paper) before copying it on to the front with marker. Other groups who calculated incorrect ages (they could tell when they were wrong) were frustrated by not first doing their work in pencil.

*Real World Applications: Sample Student Work*

# Elephant Tracks!

Lesson 18 of 21

## Objective: Students will be able to solve multi-step equations requiring logarithms to find the age of their elephant! Additional scaffolding and support are provided after the discovery.

#### Class Discussion

*5 min*

After allowing all of the groups to figure out the age of their elephant, I focus on asking secondary questions about when/why it might be beneficial to manipulate an equation to solve it for a new variable. I ask the students if they can think of other instances when this might be helpful. I do all of this while continuing to rotate around the room. Usually, Algebra II students have been exposed to enough mathematics to be able to share at least an example or two. This conversation is a great way to pull in several math practice standards! Although I elected to hold a brief whole class discussion, you may find it beneficial to use breakout groups or another strategy in your classroom. Whatever you do, make it your own! The elephant tracks example is a fun way to roll out a new level of problem, get the students to understand common mistakes, talk about the domain/range of a function, and integrate the math practice standards of your choosing! I always have the kids do their work right on the elephant track, and then post them around the room for a week or so. Although it is a goofy activity, the students really love it!

*expand content*

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- UNIT 1: Culture Building Unit - Welcome to the New Year!
- UNIT 2: Exponential and Logarithmic Functions
- UNIT 3: Sequences and Series
- UNIT 4: Statistics: Something for Everyone
- UNIT 5: Review Lessons
- UNIT 6: Writing Prompts in Mathematics
- UNIT 7: Trig Tidbits
- UNIT 8: Functions, Problem Solving, and 21st Century Skills
- UNIT 9: Polynomials and Problem Solving
- UNIT 10: Probability
- UNIT 11: Imagine This! Imaginary and Complex Numbers
- UNIT 12: Let's Explore Radicals!

- LESSON 1: Introduction to Exponential Functions - Rational Exponents
- LESSON 2: Real Number Exponents
- LESSON 3: A Conceptual Introduction to Exponential Functions: Collaboration, Questioning, and Financial Advice!
- LESSON 4: Discovering Solutions to Exponential Equations
- LESSON 5: An "Exponentially" Rewarding Battle!
- LESSON 6: Productive Struggle - A Pre-Spring Break Challenge of Exponential Functions
- LESSON 7: Compositions, Inverses & Role Play: Extending Concepts to Exponential Functions
- LESSON 8: Exponential Functions and Logarithms - Connecting the Dots
- LESSON 9: Exponentials and Logarithms: LOUD and CLEAR!
- LESSON 10: A Wrap on Logarithmic dB's and An Extension to Logarithmic Properties
- LESSON 11: Classroom Journey: Exponential and Logarithmic Properties
- LESSON 12: Laws of Logarithms and Real Applications
- LESSON 13: Calculator Boot-Camp and Solving Exponential Equations
- LESSON 14: Logs, Loans, and Life Lessons!
- LESSON 15: "Demystifying e" Day #1
- LESSON 16: Logs, Loans, and Life Lessons Collaboration Day!
- LESSON 17: FInal Discussion - "Demystifying e" PLUS Skills Practice with Logarithms
- LESSON 18: Elephant Tracks!
- LESSON 19: End of Unit Differentiated Problem Set
- LESSON 20: Differentiated Problem Share Out - Unit Review
- LESSON 21: Unit Review