Monday, August 27, 2012

Week 2 :: A Warm Up I'm proud of

One of Week 2's prompts for the New Blogger Initiation is to pick something--anything--that we've created that we're proud of.  If I read it correctly, it can even be just a problem.

So, here goes: a Warm Up/Bell Ringer/Do Now that I'm quite proud of.  It's the pre-cursor to a lesson on transformations for Pre-Calculus:

WARM UP (Do Now)

1. Write f(1)=2 as an ordered pair.
2. If you know the point (1,2) is on the graph of y=f(x), what point do you know has to be on the graph of y=f(x)+3?  Why?  (Hint: What is f(1) equal to?)
3. What about on the graph of y=f(x+3)?
Plotting these transformations gets us thinking about translations and (I think) reveals the "opposite" behavior of the "inside" transformations.  (Though it's really not opposite at all, is it?!  Yay for math!)

That's all I have for this week!  Thanks to the wonderful people at the blogging initiative for encouraging continued writing.

1 comment:

1. I like it. The best part is number three. An addition question could be, what do you need to know to answer this question? I wonder if they've seen much of this before or not. I think the questions lead the students well toward figuring it out for themselves.

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