Algebra - Patterns and Sequences
Key Stage: 3 ★★
Can you find all eight squares in a 2x3 rectangle? What sized rectangle contains 100 squares?
This problem is a context for systematic number work, geometrical thinking and problem solving.
It is an excellent example of a situation where the thinking involved in analysing one rectangle can be applied directly to other rectangles. These transferable insights about the structure of the problem can then be expressed as algebraic statements about all rectangles.
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 ★★
Can you find all eight squares in a 2x3 rectangle? What sized rectangle contains 100 squares?
This problem is a context for systematic number work, geometrical thinking and problem solving.
It is an excellent example of a situation where the thinking involved in analysing one rectangle can be applied directly to other rectangles. These transferable insights about the structure of the problem can then be expressed as algebraic statements about all rectangles.
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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This is a really good rich task to use when studying area or factors, students are asked to find all the rectangles they can which have an area of 100 squares. This would make a great investigation which would give you some good insights into the students understanding of the topic. You could introduce it as a starter and then return to the question as a plenary to ask students how they know they have found them all. The poster version on NRICH is nice and colourful, thank you for sharing.
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