in project maths lately we have been doing a problem called billiard ball bounces. in this game there is a ball on a billiard table. first you have to hit it from the bottom left corner and hot it on a 45 degree angle. the table is a certain size like a grid that is, for example, 3*4 and the ball continues to go on a 45 degree path until it come to a pocket. it will rebound on a forty degree angle if it come to the edge of the table where there is no pocket and continue it’s path. we were finding out the amount of bounces for every different sized table.

The first thing that we did was measure it out on a big table to get a good idea of the problem and then did a worksheet. after we understood it we were allowed on the soft where to see what data we could find and try to find a formula to see if we could get the amount of bounces without having to measure it out on the actual table. We gathered a lot of data and we found some rules. One of the rules were length + width -2. this only works if the length is odd and width is odd or length + width = odd. there are some exception even still. I did find a rule for even but I think that there is a better one.

I think that this question was very challenging and I found it difficult to find a rule that works for every.