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Listed under: Mathematics > Number (Mathematics) > Number operations > Indices > Positive indices > Squares (Indices) > Perfect squares

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reSolve: Real numbers - Sum of squares

TLF-IDM021068

This lesson explores Diophantus' hypothesis that all natural numbers can be expressed as the sum of no more than four square numbers. Students are invited to work in small groups to express natural numbers up to 120 as a sum of squares and share this on a whole-class grid. The resource develops students' fluency in identifying ...

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Circus towers: square stacks

TLF-IDL1935

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...