VC2M7N01 Official strand: Number

Squares and their positive roots

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Connect equal-sided arrays and square-root problems.

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A square array has 3 dots in each row and 3 rows. How many dots does it contain?

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Answer: 9 dots

  1. 3 rows × 3 dots per row = 9.
  2. This is the square number 3².

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Connect equal-sided arrays and square-root problems.

Read the official VCAA curriculum description (VC2M7N01)

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Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M7N01-C01The positive square root of a perfect square gives the nonnegative side length of a square with that area.
  2. VC2M7N01-C02The difference between consecutive square arrays is an odd number. The new layer contains one extra row and one extra column with their shared corner counted once.
  3. VC2M7N01-C03Representing and explaining the relationship between squares and square roots.

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Subskills

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Descriptor-derived subskills

  1. D01
    Recover the side from areaThe positive square root of a perfect square gives the nonnegative side length of a square with that area.
  2. D02
    Grow a square by one layerThe difference between consecutive square arrays is an odd number. The new layer contains one extra row and one extra column with their shared corner counted once.
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