So my precalc class isn't enjoying the problem I gave them to do today... but I've heard some awesome conversations!
Here's what they were given:
"
Given f(x) = 1 - x and g(x) = 1/x, how many different compositions can you make out of these functions?"(I found this problem several years ago and have always given it as a mini-project to be done individually. Thought that it might be more interesting worked with someone.)
The class started in silence. They weren't quite sure where to start, but after considering it for a few moments they started talking and writing.
I wandered around offering some suggestions - simplify that... what happens when you do this?... have you seen this before?
Had a very interesting conversation with one girl who was getting frustrated. She pulled the, "I'm never going to have to do this in the future!" line, so we talked about what skills she was actually working on.
Working with a group
Communication
Problem solving (start small, work bigger)
Algebraic skills
I think I won her over (though she told me she was going to become a hobo so she wouldn't have to do math).
Everyone seemed ok by the time they left class. Not giving them a homework assignment helped.
:)
3 comments:
Did I miss something about hobos? I had a girl tell me last week that she didn't have to learn math or science because she was going to be a hobo.
As I actually know someone who temporarily quit his job to do the railroad hobo thing, I tell my students that being a hobo only uses a little math, but a LOT of physics if you're riding the rails.
Patti -
I told my girl that today... she was ok with doing the physics involved but then decided that she would just "go for it" when riding a train and not worry about the math involved. I suggested she might want to worry about it since she could end up under the train otherwise. :)
Some of my kids were loving it actually...till I showed them some of the "unique" solutions weren't at all. It's not due til tomorrow, but already a handful of them have shown me the correct solutions! Thanks for the activity!!
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