AC9M5A01
recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts
Elaborations
- AC9M5A01_E1using materials or diagrams to develop and explain division strategies, such as halving, using the inverse relationship to turn division into a multiplication
- AC9M5A01_E2using arrays, multiplication tables, and physical and virtual materials to develop families of facts; for example, 3 ×4 = 12, 4 ×3 = 12, 12 ÷ 3 = 4 and 12 ÷ 4 = 3
- AC9M5A01_E3demonstrating multiplicative partitioning using materials, diagrams or arrays and recording 2 multiplication and 2 division facts for each grouping; 4 ×6 = 24, 6 ×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
- AC9M5A01_E4using materials, diagrams or arrays to recognise and explain the inverse relationship between multiplication and division; for example, solving 240 ÷ 20 = □ by thinking 20×□= 240; using the inverse to make calculations easier; for example, solving 17×□= 221 using division, □= 221 ÷ 17
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