Tuesday, August 1, 2017

AP Statistics Olympics

This is an activity that I think I invented.  I'm not 100% sure though, since I've been doing it for a long time and usually I steal activities from the internet, but I think this one is mine.  Please tell me if I'm wrong so I can give the real inventor credit!

AP Statistics Olympics!

I introduce z-scores by holding the AP Statistics Olympics in my class.  We start right away with the three olympic events.  I model each event and then kids can do them in any order all at once in a bunch of wonderful chaos.  The events and the notetaking all take place in a 47 minute class period, and with up to 32 kids in the class.

1) Trashketball
I set up a trash can against a wall and make a line on the floor with some masking tape.  Kids throw as many balled up pieces of paper in a row as possible.  Keep throwing until you miss and write your #shots on the board.  Most kids miss the first shot and get a 0.  For the sake of time, it's helpful to set up two trashketball stations.

2) Broad Jump (Standing Long Jump)
This is the station that I (wo)man.  On the floor I have a long piece of masking tape marked off with distances (by inch).  Students jump as far as they can, I call out where their heels hit and they write their distance on the board.


3) Reaction Time
I set up a few laptops (just having one laptop isn't enough - Holy Traffic Jam Batman!) and have students go to this website: https://www.humanbenchmark.com/tests/reactiontime
They write their average score over 5 tries (the website calculates the average for you) on a clipboard that I have over by the laptops.

As students finish up, I quickly input all the data into a spreadsheet so that I can calculate the average and standard deviation for each event.

I announce that we need to have one gold medal winner, one silver, and one bronze - but we had three different events, how can we compare?  This leads into . . . z-scores!  How impressive was a student's performance compared to everyone else?

We calculate the z-score for the winner of each event, and then we write out what this means in words.  I like that the reaction time winner will have a negative z-score, which automatically leads into discussions about positive/negative z-scores and absolute value.

Here are two photos of the completed foldable:



And a link to a blank copy of the foldable: https://app.box.com/s/rgkdo6fpk58ealg8n9yd

What I'd like to do differently:
You can see that in past years we just compared the top performer in each event.  This year I'd like for students to calculate their own z-scores in each of the three events and then we can discuss how we could combine those three z-scores for one score that encompasses all three events.  For example, you can't just take the absolute value of each z-score and add them, because if you have a negative z-score in the broad jump that would mean that you were below average and taking the absolute value would make it seem like you were above average.  I want the kids to figure out what makes the most sense here.

In addition, this year I'm NOT doing ISN's (Interactive Student Notebooks) - I'm doing chapter packets instead (only including my best foldables in the packet).  More about that in a future post.

I'm attaching my Chapter 2 Packet to this post - the new z-score pages are on pages 30-31 of the packet (the chapter 2 packet isn't that long, it's just that I continued the page numbering from the Chapter 1 packet - kind of like an ISN).