The aim of this activity is for students to realise the importance of a systematic approach when searching for all the solutions to a particular problem. It gives teachers the opportunity to discuss what it means to be systematic and to convey that there may be several equally good systematic approaches. The context for the activity is working on a geoboard - how many different squares can be found? - how will we know when we have found them all?
The activity is divided into two parts
a) Areas (How many different sized squares are there?)
b) Places (In how many positions can each square be placed?)
There are worksheets, teacher notes and a tns file