Rotations

Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?

Can you describe what happens in this film?

Can you picture where this letter "F" will be on the grid if you flip it in these different ways?

This problem provides training in visualisation and representation of 3D shapes. You will need to imagine rotating cubes, squashing cubes and even superimposing cubes!

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.

What is the relationship between these first two shapes? Which shape relates to the third one in the same way? Can you explain why?

We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?

Can you work out what kind of rotation produced this pattern of pegs in our pegboard?

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.