Saturday, September 28, 2013

This Lesson Cost Me \$1

Zero product property today, only the students don't know that yet.

For them, its a game-show-style guess-the-number game.

I want a fun prize for the winner, but all I can come up with is a couple of quarters. That will have to do.

Before class, I write a bunch of numbers on this board and cover them with index cards. I'll even give a hint about the first two.

The students are totally into it . . . 2! . . . 3! . . . 6! . . . 1! . . .

Someone decides to try negatives . . .  -1! . . . -2!

Finally, someone else tries 0.5. . . Fancy. But wrong.

I let this go on for a bit.

Then I break the bad news. Sorry guys. It was 6000 and 1/1000. Better luck in round 2.

And there are more guesses . . . 1! . . .  -1!  . . . 12!

Someone is on to me . . . "Guys, this could be ANYTHING!"

So you give up? It was 58 and 1/58. Okay, on to round 3.

At this point I am expecting all hands to go up. In a perfect world, everyone would want to guess zero! Right? Wrong.

That's where I am surprised. One lonely hand goes up . . . Zero? He asks hesitantly. My first two examples raised enough skepticism that students are sure there must be a catch.

This isn't how it worked in my head but that is okay. I can adjust.

Is Tyler right? Can we know for sure that one of the numbers is zero? Discuss at your tables.

I walk around and listen and most seem to be figuring it out. Someone suggests 5 and -5 but quickly realizes that won't work. For those who aren't convinced, I challenge them to come up with a number other than zero that will work.

We conclude that Tyler is right and move on to the final round.

Zero!!!

Not exactly. I tricked you this time by using variables. But tell me what you know . . .

"x minus 3 or x plus 2 equals zero".

Yep. That is all.

P.S. Next time I am giving everyone a white board to write down their guesses for each round. I had a lot of participation, but definitely regret that I didn't get a response from every single student.

Friday, September 20, 2013

Homecoming Balloons

Me: Okay, the balloons are in my closet. Now, there are 50 pink and 50 silver but only 25 of the black. Remember that when you are planning out your rows.

. . . later . . .

Decorating girl:  We decided to put the rest of the balloons on the floor.

Me:  Oh, I thought you were going to do three rows on the ceiling.

Decorating girl: Yeah, but there weren't enough black balloons to continue our pattern.

. . . sigh . . .