I'm having my students relate what they've learned about amplitude, period, phase shift and vertical shift to a real world scenario involving ferris wheels. I started by having them read chapter 15 of the book, The Joy of X which I've blogged about before. It's a chapter about the ubiquitousness (is that a word?) of the sine curve. It's a great read! We then focused in on the example of the Ferris wheel that he gives in the chapter. I started by working through the first problem on the worksheet with them. I then turned them loose to do the card match and work the second problem. The conversations they had and the observations they made were amazing! And I love love love the card match - it really forces them to see the connection between the graphs, the equations, and the descriptions of the Ferris wheels. One of the graphs doesn't have a matching equation, so they have to write that equation themselves, and two of the descriptions get used twice, which brings up a great conversation about how that can happen. I loved this activity!
Ferris Wheel Activity Note - I didn't realize that the problem was in meters, so on the last question you can either ask them for meters/min and km/hr or you can have them change meters to feet in the problem. Sorry about that!