Thursday, 13 February 2014

Les regularites croissantes

This week we have looked at some interesting increasing patterns.
We learned about Blaise Pascal (a French mathematician from the 1600s) and his triangle. We found lots of cool patterns in his triangle, including the pattern you get when you colour in all of the odd numbers, the number patterns in the diagonal rows (one row has a pattern made by adding one each time, another row has a pattern made by adding 2, then 3, then 4, etc.), and the 'hockey stick' pattern.
Blaise Pascal 1623-1662


Pascal's triangle

We have also learned about Fibonacci's number sequence.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... which is made by adding the first two numbers together to get the third, thenthe 2nd and 3rd numbers to get the 4th, etc. We saw how if we use those numbers to make a spiral, that spiral is found in nature on cauliflower, pinecones, sea shells, and on many plants.



Fibonacci spiral