Mathematics / Year 7 / Number and Algebra / Number and place value

Curriculum content descriptions

Investigate and use square roots of perfect square numbers (ACMNA150)

  • investigating square numbers such as 25 and 36 and developing square-root notation
  • investigating between which two whole numbers a square root lies
General capabilities
  • Numeracy Numeracy
ScOT terms

Square roots,  Perfect squares

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reSolve: Real numbers - Sum of squares

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 ...