Nine-Pin Triangles
How many different triangles can you make on a circular pegboard that has nine pegs?
How many different triangles can you make on a circular pegboard that has nine pegs?
This problem shows that the external angles of an irregular hexagon add to a circle.
Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?
Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?
A task which depends on members of the group noticing the needs of others and responding.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.
Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?