Angles
Key Stage: 5 ★
Can you show that the angle identity given is true? What different ways can you find to solve it?
In this one problem you meet many important aspects of mathematics. It shows the value of not being content to find one solution, but of asking yourself "could I solve this another way?" It is very satisfying to feel you have somehow got to the very essence of a mathematical idea by looking at it in the right way. Also this problem provides a good example of how you can generalise from a result that is really a simple case of a much more general result.
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: 5 ★
Can you show that the angle identity given is true? What different ways can you find to solve it?
In this one problem you meet many important aspects of mathematics. It shows the value of not being content to find one solution, but of asking yourself "could I solve this another way?" It is very satisfying to feel you have somehow got to the very essence of a mathematical idea by looking at it in the right way. Also this problem provides a good example of how you can generalise from a result that is really a simple case of a much more general result.
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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Excellent problem with lots of different methods. Great starter for a KS5 group
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