Wednesday+310310

__**Wednesday 31/3/10**__


 * To identify and explain number patterns.**

[|Number Pyramid Resource]

Use the number pyramid to investigate, identify and explain patterns.
 * You will need to present your thinking and calculations clearly.**

Type a number into the bottom left hand corner of the pyramid.
 * ACTIVITY**- You will need to have access to a computer to see the pyramid in action. __Every pyramid in this investigation functions in the same way.__

Are there any patterns within the pyramid? Look at each row in turn. How could you get  84   at the top? How could you get  44   at the top? Can you explain why you only get multiples of  4   at the top when you start with an integer in the bottom left hand corner?

But why can you not get  48   at the top (using integers in the bottom left hand corner)? How can you describe those top-most numbers that you can get?

Test out your observations and insights with  x   as your starting number. Can you make any general comments about what is happening? Extend your thinking to a five-tier and a six-tier problem.

__**EXTENSION**__; Create your own version of the problem; change ONE process- e.g. how could the base layer of the pyramid be different? How could the operation between 2 numbers be different? Investigate the NEW patterns and rules that the change creates- TEST a partner to see if they can IDENTIFY and EXPLAIN the new patterns.