In high school, I ran the 1600 and 3200 meter races. In one particular 3200m there were over 50 runners on the track. I was placed in an alley made up of lanes 9 and 10 and was out in the middle of nowhere, already halfway around the curve. We cut in at half a lap, it seemed like I was way ahead but ended up landing in the middle of the pack.
Here is what geometry looked at today:
We put a few guesses on the board then they asked for some info, I ended up giving ’em this:
The surprising piece is the straights of the track aren’t 100 meters… I think there is the possibility of an awesome problem within that piece of information that would really get students thinking (maybe designing a track or something). Not quire sure how to approach it though.
They went on their way, after a few minutes I introduced some structure.
They finished the table then I asked ’em to make it fair and on a picture of a track, find where the staggered starts should be so every runner ran exactly 400 meters. I lost a few of the students at this point, they were pretty stubborn in moving forward. so the problem just hung loose at this point for the rest of the period. When I try it again next year, I might stretch the thing into a period and a half or so.