Number Patterns in Number Squares

Number Patterns in Multiplication Squares

Number Patterns in Number Lines

Investigating Number Patterns

Investigating number patterns

Look at this pattern of 10 marbles Each different coloured row makes a triangle. So you can make a triangle with 3, 6 and 10 marbles.

If you add another row of (5) marbles then there are 15 marbles in the next triangle To build up the pattern we start with no marbles then add 1, then 2, then 3 then 4 and so on.

So the pattern is made up like this

From this you can see that the next number in the pattern can be worked out by adding 6 to 15 i.e. 6 + 15 = 21

A table like this one is a useful way to show how this pattern is made. These numbers are sometimes called triangular numbers. Can you see why?

order number difference 1st 0   2nd 1 1 3rd 3 2 4th 6 3 5th 10 4 6th     7th     8th

Look at this pattern of marbles. Can you make any number patterns using this marble pattern?