I recently stole this lesson from CEBDN to intro related rates. It starts with a video of a martini glass filing up with liquid and a discussion of the rate of change of volume, radius and height. Then the students dove into analyzing the video using Logger Pro – which was super easy and something I’m going to use again in the future.
- We began the day by going over a released Free-Response Question on yesterday’s quiz. It was an implicit differentiation question, in which the last piece stated ‘x and y are both functions of t.’ My students had no idea how to deal with this. Rather than try to cobble and explanation together, I switched on the video and asked ‘What does the volume of water depend on..’
- The software manipulation was very easy with the instructions in the packet – thanks whoever made it.
- Seeing the data numerically and visually was solid. I think it was a great mental hook for related rates
- One of my students thought the software was so cool that we should make our own videos. Note to self – this is an extensionable project next year. This would help with the fact that a martini glass filling up is fairly uninspiring.
- My transition from video to teams at the computer was kludgy, and it killed some of the enthusiasm they were building from the discussion.
- Make sure my students are better at excel before they get to calculus…if only I taught these students before their senior year. Oh wait I do. Note to self: find the course to really hammer excel in…maybe 9th grade…
- I needed a better sense of what their outcome was to look like – I didn’t really care to collect the packet, but didn’t specify any sort of excel final draft. Something they could work more on at home, not just at school.
- I spent 3 class days, which needs to be 2 with a better finished product. I know of things I can do to trim the fat though.
Thanks to the blogosphere for the lesson!