Geometrical Reasoning - Similar Triangles
Key Stage: 4 ★★★
A square paper napkin is folded so that one of the corners coincides with the midpoint of the opposite sides. What can you say about the triangles formed?
This problem offers a simple context which can generate lots of questions. Inviting learners to make conjectures and form convincing arguments. Demonstrating the similarity of triangles is relatively straight forward and calculating lengths offers opportunities for links with Pythagoras' theorem and ratios, bringing together important geometrical concepts.
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 ★★★
A square paper napkin is folded so that one of the corners coincides with the midpoint of the opposite sides. What can you say about the triangles formed?
This problem offers a simple context which can generate lots of questions. Inviting learners to make conjectures and form convincing arguments. Demonstrating the similarity of triangles is relatively straight forward and calculating lengths offers opportunities for links with Pythagoras' theorem and ratios, bringing together important geometrical concepts.
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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A very nice resource and a very nice way of introducing pupils to problem solving, investigating and making conjectures. I like the fact that you can also do some pythagoras and ratio work with this problem. In the teachers notes section, there are loads of ideas on how to teach this lesson, with extension ideas too.
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