Ratio and Proportion
Key Stage: 4 ★★★
When two triangles have their bases on the same line and a shared side, what do you notice about their areas in relation to their base lengths?
This resource consists of a series of structured challenges inviting students to observe that the ratio between base length and area of these kinds of triangles remains the same, and using this knowledge to calculate areas in a number of increasingly tricky examples. The final challenge involves application of this, along with some simple simultaneous equations.
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 ★★★
When two triangles have their bases on the same line and a shared side, what do you notice about their areas in relation to their base lengths?
This resource consists of a series of structured challenges inviting students to observe that the ratio between base length and area of these kinds of triangles remains the same, and using this knowledge to calculate areas in a number of increasingly tricky examples. The final challenge involves application of this, along with some simple simultaneous equations.
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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