NRICH Angles, Polygons and Geometrical Proof - Stage 3

This list supports teaching of angles, polygons and geometrical proof at Key Stage 3.  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.

  • Square it  In this game players take it in turn to click on a dot on a grid. The winner is the first to have four dots joined to form a square.
  • Completing Quadrilaterals Students are challenged to complete quadrilaterals given one side of the shape and a given area.
  • Triangles in Circles In this GeoGebra activity students are presented with a circle marked with 9 equally spaced points on the edge and one in the centre. The challenge is to draw as many different triangles as possible.

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




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