## This is an investigation using numbers

You need a pencil and some paper to jot down your calculations

First, choose three consecutive numbers - for example:

**9, 10, 11**

Multiply the smallest number by the largest

**9 x 11**

Square the other number (multiply it by itself):

**10 x 10**

What do you notice?

Try this with another three consecutive numbers.

What happens? Why?

Try the whole thing again. This time using numbers which increase by 2 instead of by 1 - for example:

**6, 8, 10**

Multiply the smallest number by the largest

**6 x 10**

Square the other number (multiply it by itself):

**8 x 8**

What do you notice?

Try this with another set of similar numbers.

What happens when you explore different sequences of numbers?

PARENTS

If there is a calculator handy your child could try this with much larger numbers.