AC9M5N02 Year 5 Mathematics

This Content Descriptor from Year 5 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

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

Elaborations

• 1 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 \(3 \times 4\)
• 2 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 \(10\)
• 3 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 \(3\)
• 4 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 \(4 \times 7 = 4 \times 2 + 4 \times 5\)

Related Achievement Standards