Expanding and Factorising Quadratics
Key Stage: 4 ★★
Can you investigate some patterns about the differences between the squares of two-digit numbers, and generalise your results?
This problem offers students a chance to discover the identity for the difference of two square numbers. They are expected to work as research mathematicians, starting from simple examples, noticing patterns, developing conjectures and explanations that lead to proofs and further exploration. It recognises the power of diagrams to help us make sense of algebraic generalisations.
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 ★★
Can you investigate some patterns about the differences between the squares of two-digit numbers, and generalise your results?
This problem offers students a chance to discover the identity for the difference of two square numbers. They are expected to work as research mathematicians, starting from simple examples, noticing patterns, developing conjectures and explanations that lead to proofs and further exploration. It recognises the power of diagrams to help us make sense of algebraic generalisations.
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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