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Reflecting Squarely

In how many ways can you fit all three pieces together to make shapes with line symmetry?

Eight Dominoes

Using the 8 dominoes make a square where each of the columns and rows adds up to 8


Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices does each solid have?

Notes on a Triangle

Age 11 to 14
Challenge Level

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.