# Act 1:

*Will the app download in time for the game?*

# Act 2:

*What information would be useful to figure this out?*

I decided to give a couple screenshots in order for the students to measure the central angle and use proportional reasoning to determine the download time.

I thought it would be neat for the kids to use Desmos to measure the angles, so I created the following graphs:

# Act 3:

# Sequel:

*What would happen if at 4 seconds the download meter formed a 45° central angle?*

# Official Lesson Page:

# Standards:

**Common Core**- 7.RP.A.2 – Recognize and represent proportional relationships between quantities.
- HSG.C.B.5 – Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

**TEKS (2015-2016)**- 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