# Rotonda West

3 Act Math

## Act 1

1. How many houses are in the development?
2. Write down a guess.

## Act 2

3. What information would be useful to figure this out?
4. Write down some questions you have in your head right now.

Check out this Desmos graph to give the students an opportunity to play with the angles in the circle. Two radii and an equation are setup to calculate the angle as the students move the radii. From there, the kids can find sector areas.

Finally, here is some real estate information on Trulia. The students can figure out an average square footage by using the average listing price and average price per square foot.

## Sequel

5. How much money would be needed to build and develop this community?

In order to extend the task, I like the idea of putting the students in the shoes of the community developer. They could brainstorm the information needed in order to figure this out. How much does each lot cost? Material cost? Zoning permits and restrictions? Wildlife preservation issues? There are numerous possibilities.

It’s also interesting to note that the original developer sold the property due to financial issues. As a final report, the students could write a letter to the developer in order to provide a guide to financial planning.

Common Core Standards
HSG.C.B
Find arc lengths and areas of sectors of circles
TEKS
G.12(C)
apply the proportional relationship between the measure of the area of a sector of a circle and the
area of the circle to solve problems

## 6 thoughts on “Rotonda West”

1. Wow, this is legit. Are you showing up for TMC by any chance? I would love to have you share this!

1. Thanks John! Forgive my ignorance, but what is TMC? When and where is it? It would be an honor to share (might not be possible though since my wife and I have a baby on the way within the next couple weeks).

1. Twitter math camp, a place where a bunch of math nerds go to hang out in person. This year, it’s in Tulsa. Either way, keep up the great work!

2. Thanks for the info. Definitely sounds like something I’d like to attend in the future!

2. Very nice Dane! I’d love to hear how it goes for your students.

1. Thanks Andrew! Maybe I’ll write a post about it in the future. Let me know if you use it with yours and how it goes!

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