Activity: Billiard Paths 
Student
Page

Below is an unusual billiard table. The dimensions are determined by the numbers on the sliders. When you click on SHOOT a blue ball will start to roll at a 45 degree heading and bounce off the opposite sides until it ends up in a corner. The computer will then tell you how many bounces (touches) the ball made and in what corner it wound up in. 
Microworlds Java
version
Note: To use the Java version you will need to first download and install the Microworlds Player. Click here to find out how to do that. 
Your Challenge: See if you can come up with a way to predict (1) what the number of touches will be for any given size billiard table and (2) which corner the ball will end up in. 
An example (5x7 table) is done
for you. Try the others and see what you get.




















Try other number combinations.
See what conjectures or conclusions
you come with.
(Use the data
sheets to help you collect more data.)