AC9M6A02 Year 6 Mathematics

Content descriptor find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations

Elaborations

• • Elaboration 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 ÷ 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
• • Elaboration 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
• • Elaboration 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
• • Elaboration 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