|y = x/2|
By doing so, the boys formed a line or parabola, part of the solution set of the function.
|y = (x/2)^2|
|y = 16/x|
Another great aspect to an activity like this is that when the boys realize they aren't "in line" with the group and have to self correct, it provides an opportunity for co-operative learning. Each member of the group is responsible not only for learning what is taught, but also for helping his classmates learn, creating an atmosphere of supportive, collaborative achievement.