Why do this problem :

This problem could work well as a 'poster' - a visual challenge placed where students will see it. Or presented at the end of a lesson as something to try to solve.

Possible approach :

This problem can worked well as something short and closed, but there is also an opportunity to invite questions which open up beyond the initial challenge. Finding the area of a square in a quadrant or squares fitted in the space between either of the two squares in the main problem and the circle.

Key questions :

• What is the challenge and how might you start ?

• How did you do it ? Can you explain ?

• How might you extend this problem ?

• Can you calculate the area of squares fitted into other places within this diagram ?

Possible extension :

The approach suggested above indicates one route to extension within this context, or for another challenge fitting squares into shapes try Squirty. The problem Semi-square offers another opportunity to work out areas of squares inside circles.

Possible support :

Tilted Squares could be an excellent and accessible challenge for slightly less experienced students.