## Algebra Unit: Exponential Relationships

Brief note: a time-out from art-related items to post an assignment for a Coursera class for assessment by peers.

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**Unit: Exponential Relationships**

9th grade, but 8th graders are welcome!

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Investigation 1: Exponential Growth
**

Welcome to our new unit in Connected Math, Exponential Relationships! We have five different investigations, and you will find yourself doing a lot of comparisons of exponential relationships with linear relationships. (Told you linear would never go away!) You can see an overview of the unit by clicking on the link above to see the parent information letter. DO NOT WAIT TO GET YOUR NEW UNIT BOOK from your district office – you don’t want to get behind!!

Here are two key pieces we will focus on:

**UNIT GOALS**(Specific Arizona Standards for this unit at the end of this investigation):

- * Is the relationship between variables an example of exponential growth or decay? Why?
- • How can this relationship be detected in a table, graph, or equation? What is the growth factor?
- • What table, graph, or equation would model the data or the pattern in a graph relating the variables?
- • How could I answer questions about an exponential situation by studying a table, a graph, or an equation of the exponential relationship?
- • How does this exponential relationship compare to other relationships between variables I have studied?

**Stuck? Email: ***************@*****************

**Now to the fun stuff: Investigation 1**

- You will need: scissors and a sheet of paper (regular paper is fine, and you might be happier with a blank sheet)
- Your journal for record-keeping, notes, and solving problems
- A new anchor chart for vocabulary on a separate page in your journal – use a stickie tab on the page for easy reference to it.
- [Reference for peer readers on anchor charts – http://www.julieballew.com/A_Literate_Life/Photos/Pages/Anchor_Charts.html. Students will have other samples, since what I use I cannot share publicly (only in a classroom/online teaching setting) because of proprietary agreement with past employer)].

**Stuck? Email: ***************@*****************

**Stuck? Email: ***************@*****************

**Stuck? Email: ***************@*****************

14. Continue working on homework problems for this investigation: Practice problems on page 11 – 18: Everyone do #1-14, and then 3 others of your choice. Everyone do #33 – 38. (Due at the end of the week.)

### Deadlines:

**STATE STANDARDS:**

- HS.F-LE.A.1a. Distinguish between situations that can be modeled with linear functions and with exponential functions.
- HS.F-LE.A.1b. Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

Mathematical Practice Standards:

- 1. Make sense of problems and persevere in solving them.
- 2. Reason abstractly and quantitatively.
- 3. Construct viable arguments and critique the reasoning of others.
- 4.Model with mathematics.
- 5.Use appropriate tools strategically.
- 6.Attend to precision.
- 7.Look for and make use of structure.
- 8.Look for and express regularity in repeated reasoning.

**Copyright notice:** all links are public domain and links are included by clicking on pictures. This unit is directly from Connected Math 2, published by Pearson. The conversion to an online format is the work of the instructor, Linda Moran, and cannot be reproduced without permission of the instructor.