AC9M4N08

Elaborations

• AC9M4N08_E1modelling and solving a range of practical additive problems using materials, part-part-whole diagrams and/or a bar model, and writing addition and/or subtraction number sentences, based on whether a part or the whole is missing; explaining how each number in their number sentence is connected to the situation
• AC9M4N08_E2modelling practical problems with division, interpreting and representing the situation using a diagram or array to represent what is unknown (the number of groups, or the number per group); writing a division number sentence to represent the situation and choosing an efficient calculation strategy
• AC9M4N08_E3modelling practical problems involving money, such as a budget for a large event, as requiring either addition, subtraction, multiplication or division and justifying the choice of operation in relation to the situation
• AC9M4N08_E4modelling and solving multiplication problems involving money, such as buying 5 toy scooters for $96 each, using efficient mental strategies and written jottings to keep track if needed; for example, rounding $96 up to $100 and subtracting 5 ×$4 = $20, so 5 ×$96 is the same as 5×$100 less $20, giving the answer $500 –$20 = $480
• AC9M4N08_E5modelling situations by formulating comparison problems using number sentences, comparison models and arrays; for example, “Ariana read 16 books for the readathon; Maryam read 4 times as many books. How many books did Maryam read?” using the expression 4 ×16 and using place value partitioning, basic facts and an array, thinking 4 ×10 = 40 and 4 ×6 = 24, so 4 ×16 can be written as 40 + 24 = 64