Year 7 · Maths · beta

Properties of number: factors, multiples, squares and cubes

In this unit pupils develop their understanding of factors and multiples, then extend this knowledge to learn general divisibility tests for integers and develop strategies to determine the highest common factor and lowest common multiple of two or more integers.

This is an attributed Oak National Academy lesson sequence, not a completed or academically approved DASKEREL course. Supporting transcripts may depend on video, images, practical equipment or teacher explanation. Follow each lesson’s supervision guidance. For religious education and RSHE, follow the school’s syllabus, policy and safeguarding procedures.

Prior knowledge

  • Identify and list factors and multiples
  • Recognise and calculate square and cube numbers
  • Apply divisibility rules and prime factorisation

Source curriculum references

  • Use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation property
  • Use integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 and distinguish between exact representations of roots and their decimal approximations

Oak source metadata. DASKEREL has not independently verified school-level coverage.

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