
Formed From Three
Using three similar shapes, surround an area that forms a triangle. Then using three more the same, form a quadrilateral, then a pentagon etc. How far can you go?

Area Twice, not Thrice
Drawing ‘Lshaped’ lines in a square, how many shapes can be created without having the same area more than twice at any one time?

All the Angles Inside
Draw angles from each corner of a square to the midpoint of the side opposite. Can you determine each missing angle?

One Intersection
With a hexagon of dots, draw lines between them. After the first line is drawn, each new line must intersect exactly one line. Explore further with curved lines or different dot positions.

Partitioning Polygons
Partition polygons to create shapes with different numbers of sides. Using ‘what if…?’ questions, we can come up with some really creative solutions.

Don’t Pull Out Right Angles
This island involves starting with shapes made with elastic bands on Geoboards and ‘pulling’ the sides out over the nearest peg – trying to avoid making right angles for as many turns as possible. We start focused on a scalene…