1. Rotation and reflection
GM4.2 Support Plenary
Here are eight identical L-shapes.
A maps to D (A → D) by a reflection in the blue line.
Describe these mappings.
G → F
D → H
A → H
D → F
Preamble
This visualisation activity (pupils are not expected to make drawings) involves both rotations and reflections, as pupils tend to get these confused when describing mappings. In some cases there may be more than one answer; this makes a useful teaching point. The four questions here may be attempted by individuals, and their answers quickly discussed before embarking on a whole-group session, with questions such as ‘Is it possible to Map A onto F? If so, describe the mapping fully’ or ‘Which shapes can A not be mapped onto by reflection or rotation?’
In some circumstances, in order to make the activity more challenging, a copy of the grid could be rotated through 45 and the same questions asked.
Possible content
Reflection and rotation of simple shapes.
Resources
None
Solution/Notes
G → F by a reflection in the blue line.
D → H by a rotation 180 about R.
A → H by a reflection in the green line.
D → F by a rotation 90 clockwise about R.