AC9M5A01 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.

recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts

Elaborations

• 1 using materials or diagrams to develop and explain division strategies, such as halving, using the inverse relationship to turn division into a multiplication
• 2 using arrays, multiplication tables, and physical and virtual materials to develop families of facts; for example, \(3 \times 4 = 12\), \(4 \times 3 = 12\), \(12 ÷ 3 = 4\) and \(12 ÷ 4 = 3\)
• 3 demonstrating multiplicative partitioning using materials, diagrams or arrays and recording \(2\) multiplication and \(2\) division facts for each grouping; \(4 \times 6 = 24\), \(6 \times 4 = 24\), \(24 ÷ 4 = 6\) and \(24 ÷ 6 = 4\); explaining how each is different from and connected to groups in the materials, diagrams or arrays
• 4 using materials, diagrams or arrays to recognise and explain the inverse relationship between multiplication and division; for example, solving \(240 ÷ 20 = \square\) by thinking \(20\times\square = 240\); using the inverse to make calculations easier; for example, solving \(17\times\square= 221\) using division, \(\square = 221 ÷ 17\)

Related Achievement Standards