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Sum of squares

Sum of squares

Joseph Louis Lagrange proved in 1770 that every positive integer can be expressed as the…
Tags: investigation, resource, square numbers
Grid lines – investigating HCF and LCM

Grid lines – investigating HCF and LCM

For my remaining full week, I'm going to try and post one rich resource and…
Tags: #29daysofwriting, hcf and lcm, investigation, product of primes
Quadratic crossover

Quadratic crossover

So here's a cute idea I was talking to a colleague about yesterday. I think…
Tags: #29daysofwriting, gradient of line, investigation, quadratic graphs
Growing squares

Growing squares

This investigation is great for getting pupils to “spot” square number patterns – it’s particularly…
Tags: investigation, quadratic sequences, square numbers
Square differences

Square differences

Pupils explore which numbers can be written as the difference of two square numbers; a nice way to practise calculating with square numbers, but also encourages them to pattern-spot at the same time.
Tags: investigation, proof, resource, square numbers
Happy numbers

Happy numbers

This is one of my absolute favourite investigations to use when teaching square numbers. It…
Tags: investigation, square numbers
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