To Accumulate a Rate — Integrate!

Teaching High School Mathematics

Try your luck!

Geometric Probability – Just more practice with calculating area, or something more?

20140224-091753.jpg
I’m planning on playing a game in class with my students today. I’ll give them each a penny when they come into the room. Without letting them look, I will let them toss a their penny into the box. If they win I’ll give them two pennies. Every student will record how many wins and losses. Once the whole class is done we’ll talk about the likelihood of winning for a player and for the game owner. Then I will let them see the inside and have them take measurements and figure out the different areas.
Question for students: Can you figure out the probability without playing the game?

20140224-091957.jpg
Then I will have students make their own boards using geometric shapes that will convince someone to think they can win but that odds are still in the game owners favor.

As an extension students can include winning different amounts of money depending on where you land so a player is more enticed to play.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

Information

This entry was posted on February 24, 2014 by in geometry, probability and tagged , , , , , .
%d bloggers like this: