Why do this problem?
The
activity is good for pupils working with squares and triangles.
It will increase their familiarity with the properties of these
shapes and is a good introduction to 'thinking outside the
box'.
Possible approach
Working with the groups
of pupils I've found it good to slowly present the first few stages
of the growth of the squares. In this way I made sure that they
understood each step.
Key questions
What do you notice?
How do you know ...?
(Following something they've said or recorded.)
Possible extension
This sheet gives
some ideas for how to take the activity further.
For the
highest-attaining
Go to Extending Great Squares
here for ideas for
this pupil.
Possible support
Some pupils will need
help with accurate drawing, Squared paper is useful. Some pupils
will benefit from using a computer drawing program.