Maths Shop window
Maths Shop Window is a task on the NRICH website.
This playful task pushes learners further towards seeing functions as objects with their own characteristics by asking them to find examples of functions with certain characteristics unusual for school mathematics.
In order to use functions in the fullest way possible, learners need to develop a repertoire and this kind of task can help them to do that. The task encourages them to think ‘outside the box’ of what they may already know, and goes beyond the polynomial and ‘named’ functions of the middle years of school.
It is not necessary for learners to know in advance about the functions that will fulfill the conditions. It would be possible to invent some by conjecturing about particular values, or overall shape by sketching, to get some way towards completing the task.