VC2M7A04 Official strand: Algebra

Tell the story of a data graph

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Investigate how one measured quantity changes with another.

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In this invented tank graph, which quantity is shown on the vertical axis?

Invented tank-water readings: 0 minutes: 6 litres, 1 minutes: 9 litres, 2 minutes: 12 litres, 3 minutes: 12 litres, 4 minutes: 15 litres. Lines join consecutive records; they do not establish every unmeasured reading. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Time (minutes) Water (litres)
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Invented tank-water readings: 0 minutes: 6 litres, 1 minutes: 9 litres, 2 minutes: 12 litres, 3 minutes: 12 litres, 4 minutes: 15 litres. Lines join consecutive records; they do not establish every unmeasured reading.

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Answer: Water amount in litres

  1. Read the axis label, not just the numbers.
  2. The vertical values give litres of water; the horizontal values give minutes.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Investigate how one measured quantity changes with another.

Read the official VCAA curriculum description (VC2M7A04)

These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.

Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M7A04-C01Each axis represents a quantity with units. A point links one input reading with one output reading. First identify the variables before reading values or describing a relationship.
  2. VC2M7A04-C02A graph height is an amount. A difference between heights is a change; dividing by the input change gives an average rate. Equal endpoints show no net change but do not necessarily reveal every unmeasured instant.
  3. VC2M7A04-C03An early pattern may not continue. A joined line does not turn invented values into authentic data or establish unrecorded values without an extra model. For a real investigation, use actual sourced observations and document how they were collected.
  4. VC2M7A04-C04Creating, conducting or using the described practical or digital activity; selecting an MCQ answer does not demonstrate this action.

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Subskills

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Descriptor-derived subskills

  1. D01
    Read variables and unitsEach axis represents a quantity with units. A point links one input reading with one output reading. First identify the variables before reading values or describing a relationship.
  2. D02
    Distinguish values and changesA graph height is an amount. A difference between heights is a change; dividing by the input change gives an average rate. Equal endpoints show no net change but do not necessarily reveal every unmeasured instant.
  3. D03
    Keep the conclusion within the dataAn early pattern may not continue. A joined line does not turn invented values into authentic data or establish unrecorded values without an extra model. For a real investigation, use actual sourced observations and document how they were collected.
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