AC9M3A01
recognise and explain the connection between addition and subtraction as inverse operations, apply to partition numbers and find unknown values in number sentences
Elaborations
- AC9M3A01_E1partitioning numbers using materials, part-part-whole diagrams or bar models, and recording addition and subtraction facts for each representation, explaining how each fact is connected to the materials, diagrams or models; for example, 16 + 8 = 24, 24– 8 = 16, 8 = 24 –16
- AC9M3A01_E2using the inverse relationship between addition and subtraction to find unknown values with a calculator; for example, representing the problem, “Peter had some money and then spent $375, now he has $158 left. How much did Peter have to start with?” as □– $375 = $158 and solving the problem using $375 + $158 = $533; solving 27 + □= 63 using subtraction, □= 63– 27 or by counting on; 27, 37, 47, 57, 60, 63, so add 3 tens and 6 ones, so □= 36
- AC9M3A01_E3exploring First Nations Australians’ stories and dances that show the connection between addition and subtraction, representing this as a number sentence and discussing how this conveys important information about balance in processes on Country/Place
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