# 26’s

3 Act Math

## Act 1

1. Will tires with 26″ rims fit without modifications?
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.

## Sequel

5. What is the largest rim he could fit without cutting?

Common Core Standards
7.G.B.4
Know the formulas for the area and circumference of a circle and use them to solve problems
TEKS
G.12(B)
apply the proportional relationship between the measure of an arc length of a circle and the circumference of the circle to solve problems

## 4 thoughts on “26’s”

1. Hailey

Hi! I have a question about this task. My students compared both of the circumferences and got the wheel well to be 84.8. Then, for the rim, if you use the 26 and multiply that by pi you get 81.68. That means the rims do fit.
However, if you include the 2 in tire and do 30 (26+2+2) times pi you get 94.2 which means the rim would not fit. Why would you just include the rim without a tire?

1. Hi Hailey! Thank you for the question. I just updated the initial question to clarify a bit more. I was trying to ask if the tire AND the rim fit. So, you all are right on!

2. Molly

Do we need the diameter or radius for the initial space?

1. You can use either the diameter or radius when working with the circumference.

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