Here is a teaser for upcoming posts:
This week in my calculus classes we are going to start our discussion of finding volumes. I've already picked up a supersized box of Play-Doh and dental floss so that we can easily explore area by cross-sections. I'll make my famous mathematical paperweight out of a sine curve and semicircles and we'll try to estimate the volume.
After the Play-Doh, I'm modifying Dan Myer's WCYDWT volumes of rotation with glasses project. I have some glasses to bring in and we'll test out our ideas. I'm thinking a good follow-up would be to have students create their own Coke bottle that holds 20 oz of fluid. They will make their own curve and give me the integral. I wonder if there is a good software program or applet out there where students can easily enter their own curve and have the program rotate the area for them? My mind is quickly filling with ideas about this project. I can't wait to see the student results!
And one other big thing- I'm doing my first live, in person conference presentation this Friday at the ATOMIM spring conference in Bangor. It's not too late to register online! If you're there and reading this now, you probably don't need to be attending my presentation about Edublogging, but stop by and introduce yourself!