“Water is flowing out of a garden hose at a rate of 10 gallons per minute into a circular swimming pool that has a diameter of 16 feet. How fast is the water rising in the pool in inches per minute? Hint: The area of a circle is pi r squared (done in proper math notation that I’m not going to bother with here). ”
Yes, I’m in full “sympathy for the student” mode here. I totally get why this is in here — get folks thinking about what volume *means.* I see what I see, however. I see the students whom it propels into “HELP!! I CAN’T DO MATH!!” mode. It takes a lot of energy for me to get ’em thinking about volume instead of thinking about dropping the course. The main problem is a simple one: Overwhelm, and they don’t have a conversion for gallons to cubic inches or cubic feet. All their other problems can be solved w/ that sheet. It’s the details — but they matter!