VC2M6A02 Official strand: Algebra

Find unknowns in grouped calculations

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Use brackets and inverse operations while preserving equality.

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□ + 4 = 7. Find the missing value.

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Answer: 3

  1. Undo the operation while keeping both sides equal.
  2. The missing value is 3. Check it in the original equation.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Use brackets and inverse operations while preserving equality.

Read the official VCAA curriculum description (VC2M6A02)

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Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M6A02-C01If a number is multiplied and then increased, reverse the addition first and multiplication second.
  2. VC2M6A02-C02Brackets mean the enclosed calculation is performed together. Undo the outside multiplication before the addition inside.
  3. VC2M6A02-C03A proposed solution is correct only if replacing the unknown makes the original equality true.
  4. VC2M6A02-C04Constructing and explaining a numerical equation strategy.

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Subskills

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Descriptor-derived subskills

  1. D01
    Undo operations in reverse orderIf a number is multiplied and then increased, reverse the addition first and multiplication second.
  2. D02
    Respect a grouped quantityBrackets mean the enclosed calculation is performed together. Undo the outside multiplication before the addition inside.
  3. D03
    Substitute into the original ruleA proposed solution is correct only if replacing the unknown makes the original equality true.
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