Mathematicians like to work systematically on a problem rather than approaching it in a random, unstructured way. The tasks in this feature are designed to provoke students to solve them in a systematic manner.
This problem is inaccessible without looking at simpler cases, and thus helps students to see the value of specialising in order to generalise.
This problem is a good activity for the visualisation of symmetry, and for encouraging students to work systematically.
Age 16 to 18 Challenge Level:
This problem uses playing cards and video to introduce students to some well-known sorting algorithms.
To search for a fair game in this probability task, students will need to work systematically and record their findings appropriately.