Visualising relationships

Students who struggle with recognising geometrical relationships need to be provided with strategies for analysing diagrams.

  • Use colour to highlight features in the diagram.
  • Introduce pronumerals to indicate equal angles.
  • Re-draw the diagram in a different order.
  • Rotate the page to view the diagram from a different perspective.

Dynamic geometry software is an effective and engaging way to explore a problem. It also allows students to recognise different diagrammatic situations as representing the same relationship even if it appears to be unlike the ‘classic’ representation.

Great angle chase

After they have been introduced to the circle geometry theorems, this activity gives students practice in recognising the relationships in more complex diagrams.

Linking angles

This activity uses dynamic diagrams to explore a broad range of angle relationships in a variety of orientations.