VC2M10ST05 Official strand: Statistics

Investigate relationships and change over time

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Plan a bivariate investigation, analyse its pattern and report what can reasonably be inferred.

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A time study records (day, height in cm): [[0, 5], [1, 8], [2, 11], [3, 14]]. What is the average rate of height change from day 0 to day 3?

Table. 0, 5; 1, 8; 2, 11; 3, 14 Day Height (cm) 0 5 1 8 2 11 3 14
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Table. 0, 5; 1, 8; 2, 11; 3, 14

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Answer: 3 cm/day

  1. Total height change = 14 − 5 = 9 cm.
  2. Elapsed time is 3 days.
  3. Average rate = 9/3 = 3 cm per day.
  4. 14 − 5 = 9.
  5. 9 ÷ 3 = 3.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

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Plan a bivariate investigation, analyse its pattern and report what can reasonably be inferred.

Read the official VCAA curriculum description (VC2M10ST05)

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  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M10ST05-C01Analyse a numerical response against time with meaningful units.
  2. VC2M10ST05-C02Plan and conduct a bivariate investigation with time as the independent variable.
  3. VC2M10ST05-C03Discuss selection, confounding and the range of observed data.
  4. VC2M10ST05-C04Evaluate and report findings from a complete bivariate investigation.
  5. VC2M10ST05-C05Apply and explain investigate relationships and change over time using calculate and explain each step.
  6. VC2M10ST05-C06Apply and explain investigate relationships and change over time using read and connect representations.
  7. VC2M10ST05-C07Apply and explain investigate relationships and change over time using compare evidence and check a claim.
  8. VC2M10ST05-C08Apply and explain investigate relationships and change over time using build and check a model.

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Subskills

These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.

Descriptor-derived subskills

  1. D01
    Keep the observations pairedAnalyse a numerical response against time with meaningful units.
  2. D02
    Report what the design supportsDiscuss selection, confounding and the range of observed data.
  3. D03
    Calculate and explain each stepApply and explain investigate relationships and change over time using calculate and explain each step.
  4. D04
    Read and connect representationsApply and explain investigate relationships and change over time using read and connect representations.
  5. D05
    Compare evidence and check a claimApply and explain investigate relationships and change over time using compare evidence and check a claim.
  6. D06
    Build and check a modelApply and explain investigate relationships and change over time using build and check a model.
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