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Playing with polygons

The ‘Origami Challenge’ is the game the Measures family is playing. The challenge is to fold a regular pentagon from an A4 piece of paper. The timer is set for the two-minute task. 'Penta' is explained as the Greek word for 5; 'pentagon' as five angles. A diagram and explanation give the properties of a pentagon. Images from the natural and man-made world show that there are pentagons all around us. After two minutes, Abi Measure is the only family member to succeed in making the regular origami pentagon. It is demonstrated how she achieved that. Three tasks follow: we are challenged to make our own pentagon; we are asked to explore how to investigate hidden triangles within the pentagon diagram; and finally we are challenged to find the sum of the internal angles using a protractor.

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3 minutes

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