Maths investigation in Year 3!

In Year 3 our Maths topic has been focussing on multiplication and division.

We've worked really hard on our 4 and 8 times tables - we're pros at them now!

Today we brought all our learning together and investigated the relationship between the 2, 4, and 8 times tables.

Our findings were very interesting...

First, we identified all the multiples of 2, 4, and 8 on a 100 square.

We noticed that all the multiples of 8 were also multiples of 2 and 4, but what could this mean? 

It needed to be investigated further!

Our findings were:

3 x 2 = 6
To find 2 times the number you double it

3 x 4 = 12 is the same as 3 x 2 x 2 = 12
To find 4 times the number you double it and double it again

3 x 8 = 24 is the same as 3 x 2 x 2 x 2 = 24
To find 8 times the number you double it, double it, and double it again

For example:

	7 x 2	7 x 4	7 x 8
	Double it	Double it again	Double it again
7	14	28	56

We then decided to take our learning even deeper by thinking about how this could apply to division! 

We found that:

24 ÷ 2 = 12
To find the number divided by 2 you halve it

24 ÷ 4 = 6 is the same as 24 ÷ 2 ÷ 2 = 6
To find the number divided by 4 you halve it and halve it again

24 ÷ 8 = 3 is the same as 24 ÷ 2 ÷ 2 ÷ 2 = 3
To find the number divided by 8 you halve it, halve it and halve it again

For example:

	32 ÷ 2	32 ÷ 4	32 ÷ 8
	Halve it	Halve it again	Halve it again
32	16	8	4

It was a really interesting lesson. Every member of the class worked really hard to notice patterns and test their ideas. Well done Year 3!