Let the Random Problem Ideas begin…
One of the ways that I want to use this blog is to throw problem ideas out there and get feedback. I don’t want to make a big deal out of any of them, like putting them in immediately usable form, because if I require myself to spend inordinate amounts of time to publish them, this blog will die a very quick death. So I will just toss ideas out there and see what happens. A lot of them will suck, by the way. Hey, I sound like EmergentMath right now. I hope he won’t mind.
So here goes my first one. I was at a baseball game yesterday and in the parking lot saw this vehicle with a dirty rear window:
So, simple enough, here’s the problem:
- How well-designed is the wiper system? (or what is the ratio of clean:dirty)?
- Design a better wiper system.
I could also take many pictures of different vehicles to give variety (I like problems to be messy and to not personally know any “answers” ahead of the students).
One other note: when I worked for Motorola developing automotive software, I drove a Mercedes E320 for the weekend, and it had a single-wiper system for the front windshield. There could be something there too.
My own critique would be that it seems too easy for a full-on problem, but too hard for a bellringer. It might not be engaging enough either. But I’ll leave the majority of bashing to others…please.
[Also, I know that I have absolutely no following on this blog, and what I do have is probably more interested in SBG than math at this point…so feedback will be close to nil, but I have to start somewhere, right?]