Research-based guidance and classroom activities for teachers of mathematics

Pentakite

Pentakite is a task on the NRICH website.

Congruency and similarity are powerful ideas in geometry. This task entails geometrical reasoning involving angles and similar triangles. A diagram is not provided in the task, thereby encouraging pupils to draw their own. As well as geometrical similarity, the task opens up links to the golden ratio and the Fibonnaci sequence.

Go to Pentakite on the NRICH website >>