Patterns, Pythagoras’ Theorem
Key Stage: 3 ★
It’s easy to calculate the areas of squares drawn on a grid when they’re oriented in the usual way. Can you predict the areas of squares when they are tilted?
This resource offers an opportunity to spot patterns, make generalisations and eventually discover Pythagoras’ Theorem, while giving students the chance to practise working out areas of squares and right-angled triangles.
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: 3 ★
It’s easy to calculate the areas of squares drawn on a grid when they’re oriented in the usual way. Can you predict the areas of squares when they are tilted?
This resource offers an opportunity to spot patterns, make generalisations and eventually discover Pythagoras’ Theorem, while giving students the chance to practise working out areas of squares and right-angled triangles.
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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