Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.
Explore the relationships between different paper sizes.
Can you find the missing length?
What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Prove Pythagoras' Theorem using enlargements and scale factors.
Explain how the thirteen pieces making up the regular hexagon shown in the diagram can be re-assembled to form three smaller regular hexagons congruent to each other.
Explore the effect of combining enlargements.
L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
Arrow arithmetic, but with a twist.
Why not challenge a friend to play this transformation game?
How can you use twizzles to multiply and divide?
Introduces the idea of a twizzle to represent number and asks how one can use this representation to add and subtract geometrically.
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.