Consecutive Numbers

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:‚Äč

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.

Share  what you have done with your teacher - write about what you found out, take pictures or post a tweet to your School.

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