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Mathematics / Year 5 / Number

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View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another (AC9M5N02)

Elaborations
  • using a certain number of blocks to form different rectangles and using these to list all possible factors for that number; for example, \(12\) blocks can form the following rectangles: \(1 \times 12, 2 \times 6\), and \(3 \times 4\)
  • researching divisibility tests and explaining each rule using materials; for example, using base-\(10\) blocks to test if numbers are divisible by \(2, 5\) and \(10\)
  • using divisibility tests to determine if larger numbers are multiples of one-digit numbers; for example, testing if \(89\) \(472\) is divisible by \(3\) using \(8 + 9 + 4 + 7 + 2=30\) as \(30\) is divisible by \(3\) then \(89\) \(472\) is a multiple of \(3\)
  • demonstrating and reasoning that all multiples can be formed by combining or regrouping; for example, multiples of \(7\) can be formed by combining a multiple of \(2\) with the corresponding multiple of \(5\); \(3 \times 7 = 3 \times 2 + 3 \times 5\), and \(4 \times 7 = 4 \times 2 + 4 \times 5\)
General capabilities
  • Numeracy Numeracy
ScOT terms

Positive integers,  Factors

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