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.
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.
W

L

Touches

Final
Corner

5

7

12

Upper
Right

8

3



5

4



10

13



5

9











