Loci, Areas, Optimization
Key Stage: 3 ★★
Stuart tethered his goat to a shed, using a 20 foot length of rope. Where was the goat tethered? What area could the goat graze? Could the goat have eaten more if the rope was attached to a different point?
This problem provides a great opportunity to introduce a very useful way of representing numbers algebraically. It also provides an opportunity to manipulate these expressions and relate the result to their numerical investigations.
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 ★★
Stuart tethered his goat to a shed, using a 20 foot length of rope. Where was the goat tethered? What area could the goat graze? Could the goat have eaten more if the rope was attached to a different point?
This problem provides a great opportunity to introduce a very useful way of representing numbers algebraically. It also provides an opportunity to manipulate these expressions and relate the result to their numerical investigations.
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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