Today at the end of Precalculus today I asked if any kids had any questions/topics they wanted a quick review on for an assessment we’re having tomorrow. (We lost a week due to Hurricane Sandy, so it’s been a while since they’ve worked on some of the topics.) One of the topics was inverse functions, so I gave a quick 3 minute lecture on them, and then we solved a simple “Here is a function. Find the inverse function.” question. They then wanted an example of a more challenging one, so I made up a function:
And then we went through and solved for y. And we found that …
… the function is it’s own inverse. Yup, when you go through and solve it, you’ll find that is true. (Do it!)
I said: “WAIT! Don’t think this always happens! This is just random! Really! This is random!”
But I just had the thought that this might be good to capitalize on. So I sent my kids the following email:
I don’t know if anyone will bite, but I hope that someone decides to take me up on it. I already have a few ideas on how to have them explore this! (Namely, first exploring and then exploring .)
We’ll see… I’m trying to capitalize on something random from class. I hope it pans out.