Tuesday, February 15, 2022

WEEK 14

 

6..3.2 Understand and use rotations (1)
6..3.3 Understand and use reflections (1)

This is the first of five weekly sets of tasks looking at transformations. The focus is mostly on reflection and rotation, though translation and enlargement also come up in some later tasks.

This week's tasks are mostly quite straightforward and grounded. They require students to adjust to different viewpoints and they involve images, some of which have been reflected, of everyday objects, some of which have been rotated.

Monday: Here we see a photograph of a pair of glasses with a red dot on the lens on the left. From the wearer's point of view, the lens is on the right and is for the right eye.

Most students should find the task to be straightforward, though it might be interesting to find out how they visualise it. Do they imagine a face behind the glasses, or do they imagine putting them on?

Tuesday: Here the glasses are upside down, but the task should again be fairly straightforward. For a person viewing the photo, the lens with the red dot will stay on the left, if they imagine picking up the glasses and putting them on.

Wednesday: If one imagines moving this shoe to put it on, this could be said to involve two 90˚ rotations, on a horizontal and a vertical axis. However, putting shoes on is such a familiar activity for most students, that most should find the task quite easy.

Thursday: In two of these images, the bird is facing slightly to its left. The image on the right is the odd one out.

How do students visualise this? Do they put themselves in the position of the bird, or do they imagine rotating the bird in some of the images?

Friday: This task is quite subtle. Two things are going on: the front face of the adaptor is roughly the shape of a trapezium, with one parallel side longer than the other, and the pattern of holes in the face has a horizontal but not a vertical line of symmetry.

Compared to the image on the left, the middle image is a rotation (of 180˚) and the right-hand image is a reflection (in a vertical mirror).