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Mathematics / Year 6 / Algebra

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View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations (AC9M6A02)

Elaborations
  • using brackets and the order of operations to write number sentences and appreciating the need for an agreed set of rules to complete multiple operations within the same number sentence; for example, for \(40 รท 2 \times (4 + 6) = \square\), you solve what is in the brackets first then complete the number sentence from left to right as there is no hierarchy between division and multiplication
  • constructing equivalent number sentences involving brackets and combinations of the \(4\) operations; explaining the need to have shared agreement on the order of operations when solving problems involving more than one operation to have unique solutions
  • finding pairs of unknown values in numerical equations that make the equation hold true; for example, listing possible combinations of natural numbers that make this statement true: \(6+4\times8\;=\;6\times\bigtriangleup+\square\)
  • applying knowledge of inverse operations and number properties to create equivalent number sentences; removing one of the numbers and replacing it with a symbol, then swapping with a classmate to find the unknown values
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and Creative Thinking
ScOT terms

Associativity,  Distributivity,  Round brackets (Mathematical notation),  Equations

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