Notes on a triangle

Can you describe what happens in this film?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative


For this task, you will need to watch the short film Notes on a Triangle, on the National Film Board of Canada's website.

How would you describe what happens in the film?

Can you describe what happens in different sections of the film?

For example, 1 - 34 seconds and 35 - 45 seconds may provide two natural sections to focus on at the beginning.

What mathematical properties remain constant throughout your chosen clip?

Could a section of the dance be performed by a different shape?

Imagine replacing the triangle with a kite, or a rhombus, or an arrowhead, or ...

How would you cut up your new shape to produce congruent pieces?

Can your new shape(s) still achieve the same movements and symmetries?

If you produce a wall display do send us some photos.

Here is a sheet of equilateral triangles for you to print off and cut out (using coloured paper might be a good idea) if you want to recreate some of the images in the film.