Angles, Geometrical Reasoning
Key Stage: 4 ★
If you fold a piece of A4 paper, you produce some angles. Can you calculate some of the angles formed?
This problem involves a simple construction which gives a surprising and useful result. Having confirmed the sizes of angles this knowledge can be applied to make images and polyhedra. Different routes to solution can also lead to useful discussions, including how well learners explain their reasoning and the elegance of their methods.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Key Stage: 4 ★
If you fold a piece of A4 paper, you produce some angles. Can you calculate some of the angles formed?
This problem involves a simple construction which gives a surprising and useful result. Having confirmed the sizes of angles this knowledge can be applied to make images and polyhedra. Different routes to solution can also lead to useful discussions, including how well learners explain their reasoning and the elegance of their methods.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
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