3D Shapes, Visualisation, Algebra - patterns and sequences
Key Stage: 3 ★
A large cube made from 27 small cubes is dipped into a pot of paint, so the whole outer surface is covered. How many cubes have 1 or 2 or 3 yellow faces? What about other sized cubes?
Exploring painted cubes may produce patterns which students can describe spatially, numerically and algebraically. Students can appreciate the benefits of keeping a clear record of results, and apply their insights to ask themselves questions about further cases. This problem lends itself to collaborative working.
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 ★
A large cube made from 27 small cubes is dipped into a pot of paint, so the whole outer surface is covered. How many cubes have 1 or 2 or 3 yellow faces? What about other sized cubes?
Exploring painted cubes may produce patterns which students can describe spatially, numerically and algebraically. Students can appreciate the benefits of keeping a clear record of results, and apply their insights to ask themselves questions about further cases. This problem lends itself to collaborative working.
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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