What happens to the area and volume of 2D and 3D shapes when you enlarge them?
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.
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.
Can you find the missing length?
Prove Pythagoras' Theorem using enlargements and scale factors.
The points P, Q, R and S are the midpoints of the edges of a convex quadrilateral. What do you notice about the quadrilateral PQRS as the convex quadrilateral changes?
Explore the relationships between different paper sizes.
Triangle ABC is equilateral. D, the midpoint of BC, is the centre of the semi-circle whose radius is R which touches AB and AC, as well as a smaller circle with radius r which also touches AB and AC. . . .
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.