Quarters, Quarters

Age 7 to 11 Challenge Level:

Quarters, Quarters

How would you colour in a quarter of 5 squares?

How do you know it's a quarter? Maybe you can prove it's a quarter.

Here are some ways that other people have started this task. You may like to continue one of their ways of working, or create a new one of your own ...

Here is how Abel started off. He decided it would be good to put then in the form of a cross (or "plus" sign).

Then Raj took that idea in a slightly different direction and explored finding both thirds and quarters using similar shapes.

Sara took it in a new adventurous way, she's always liked hexagons but decided to take 7 of them and find a quarter.

 So now it's up to you.

You could follow on from where these three have taken it, you could find a new idea for yourself to explore and be creative or ... Why do this problem?

Why Do This Problem?

This activity puts the pupil into a situation where Spatial Thinking and Asoociated Skills are able to be exercised. There are so many ways of producing solutions that abilities to be creative can be readily put to use.

Possible approach

Presenting the pupils with squared paper and the instruction sheet, showing just the first two diagrams and notes, may be enough for some children. Other children may need to be given more, so include Abel's ideas up to Raj's, would probably be helpful.

Key questions

What ideas have you got?
How can you show it's a quarter?
Are there any more you could do like that one?

Possible extension

Show Raj's work and encourage thinking "outside the box".

For the exceptionally mathematically able

Suggest using other grids and stimulate the idea by showing Sara's work