AC9M5A01 Year 5 Mathematics

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

Elaborations

• • Elaboration using materials or diagrams to develop and explain division strategies, such as halving, using the inverse relationship to turn division into a multiplication
• • Elaboration 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
• • Elaboration 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
• • Elaboration 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