1. Who is right – Jon or Jean?
Transformations
GM4.3 Core Plenary
Who is right – Jon or Jean?
Jean can use more than one transformation for each mapping.
Preamble
This investigation will give pupils practice using the three transformations they have just encountered – reflection, rotation and translation. It is a whole-class activity, though you may like to allow a few minutes for individuals to ‘get into’ the problem.
Writing down should be discouraged; instead, treat the investigation as an exercise in spatial visualisation. Initially, be fairly liberal in accepting less-than-complete mapping descriptions – with luck, the group may spontaneously ask for complete descriptions.
Possible content
Using rotations, reflections and translations.
Resources
None – unless some pupils feel they need squared paper.
Solution/Notes
Jean is quite correct; it is possible to map each of the six triangles onto each of the other five using one or more transformations.