NRICH Angles, Polygons and Geometrical Proof - Stage 4

This list supports teaching of angles, polygons and geometrical proof at Key Stage 4 in secondary mathematics. It provides investigations, problems and games from NRICH as well as classroom activities on the STEM Learning website that compliment them.




Here are some favourite activities selected by the NRICH team.

  • Cyclic Quadrilaterals This activity presents students with a circle marked with 9 equally spaced points on the edge and one in the centre. The challenge is to draw as many triangles as possible and calculate the angles.
  • Kite in a Square This activity involves finding the area of a kite that is constructed inside a square. Topics involved are coordinates, similar figures and Pythagoras' theorem.

These are just a few of the activities on angles, polygons and geometrical proof at Key Stage 4 that you can find on the NRICH curriculum pages.




The activities below, taken from the STEM Learning website, complement the NRICH activities above.