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Mathematics / Year 4 / Algebra
Curriculum content descriptions
find unknown values in numerical equations involving addition and subtraction, using the properties of numbers and operations (AC9M4A01)
Elaborations
- demonstrating the commutative properties of addition using materials, diagrams and number lines; for example, using number lines to demonstrate that \(5 + 2 = 2 + 5\), demonstrating that \(2 + 2 + 3 = 7\) and \(2 + 3 + 2 = 7\) and \(3 + 2 + 2 = 7\)
- using balance scales and informal uniform units to create addition or subtraction number sentences showing equivalence, such as \(7 + 8 = 6 + 9\), and to find unknowns in equivalent number sentences, such as \(6 + 8 = \square + 10\)
- using relational thinking and knowledge of equivalent number sentences to explain whether equations involving addition or subtraction are true; for example, explaining that \(27 \space– \space 14 = 17\space – \space4\) is true and using a number line to show the common difference is \(13\)
- using part-part-whole diagrams or bar models to recognise and explain the inverse relationship between addition and subtraction, using this to make calculations easier; for example, solving \(27 + \square = 63\) using subtraction, \(\square = 63\space – \space27\)
General capabilities
ScOT terms
Associativity, Mathematical expressions, Subtraction, Addition, Numerical equations