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For the past few lessons in project maths we have been learning about Billiard balls. This requires a lot of steps to do this and I really struggled at the start but then I joined a group of 4 people including me and we collaborated really well and found strategy’s and then we put it all into a equation and that got our answer.

For lesson 1 we did some modelling using big squares, string and blue-tac. I did not really understand the problem at first and I still could not understand it for the whole first lesson. In the first lesson we had some grid paper and we had 5 problems to solve and that really got me confused because we had a lot of grids like 5×6 and I could not solve it. It took me the whole lesson.

For lesson 2 we started to look for patterns so our teacher could say how many bounces would a 3×6 grid have and then we can answer it without using a piece of paper ruler and a paper grid. But at the start of the lesson I joined a group with Josh, Darcy and Robbie and we set out to do the task. Our group was determined not to use the software and we didn’t and we figured out the answer. When we got a an answer we had to turn it into an algebra equation. We got our answer and turned into and algebra equation but we knew we could make it less complicated. So our first one was { x plus y } equals x plus y divided by the CF equals the answer minus 2. We turned it into { [ x plus y ] / CF] } minus 2.

For lesson 3 we knew we had to try and test our theory on the maths 300 software. So we tried it and it worked I was so glad that it worked so we did not have to go back to the drawing board and start all over again. Then we had to go on with an extension what was try and find the pockets. We knew it would have Prime and Composite numbers so that is what we tried but that kind of worked and the we worked out that it had something to do with odd, even Prime and composites. So our answers are:

Prime plus Composite

Odd plus even and Prime plus Composite equals the Top left corner

Odd plus even and Prime plus Composite equals the Top right corner

Even plus even and Prime plus Composite equals the Top right corner

Prime plus Prime

Odd plus even and Prime plus Composite equals the Top left corner

Odd plus Odd and Prime plus Composite equals the Top right corner

There is no even plus even on the Prime plus Prime because there is no two even numbers in Prime.

Composite plus Composite

Odd plus odd and prime plus Composite equals the Top left corner

Odd plus even and Prime plus Composite equals the Top right corner

Even plus even and Prime plus Composite equals the Top right corner.

They were our answer we also did another extention that I did not finish. But Darcy did ion the car on the way to school yesterday. I wish I figured it out though. The strategy’s I used were find a pattern and that was pretty much it. I learnt how to put equations into a algebra equations because I had never done that before. If you do this problem work in a group because the collaboration really helps.