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Introduces the idea of a twizzle to represent number and asks how one can use this representation to add and subtract geometrically.
Arrow arithmetic, but with a twist.
How can you use twizzles to multiply and divide?
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.
Plex lets you specify a mapping between points and their images. Then you can draw and see the transformed image.
Why not challenge a friend to play this transformation game?
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 effect of combining enlargements.
Prove Pythagoras' Theorem using enlargements and scale factors.
L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
Photocopiers can reduce from A3 to A4 without distorting the image. Explore the relationships between different paper sizes that make this possible.
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.
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. . . .
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.