VC2M8M07 Official strand: Measurement

Models with ratios, rates and travel

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Choose a ratio or rate model, check the units and explain when its assumptions hold.

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A trip is modelled at a constant 60 km/h for 3/2 hours. What distance does the model predict?

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Answer: 90 km

  1. Distance = speed × time = 60 × 3/2.
  2. The model predicts 90 km; stops or changing speeds could alter the real trip.
  3. 60 × 3/2 = 90.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Choose a ratio or rate model, check the units and explain when its assumptions hold.

Read the official VCAA curriculum description (VC2M8M07)

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Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M8M07-C01Formulate and interpret constant-speed travel calculations.
  2. VC2M8M07-C02Use ratios in a financial model and interpret allocations.
  3. VC2M8M07-C03Formulate a ratios-and-rates model, communicate its results and review its assumptions.
  4. VC2M8M07-C04Apply and explain models with ratios, rates and travel using build and check a model.
  5. VC2M8M07-C05Apply and explain models with ratios, rates and travel using work backwards from what is known.

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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
    Distance, time and assumptionsFormulate and interpret constant-speed travel calculations.
  2. D02
    Divide a total into ratio partsUse ratios in a financial model and interpret allocations.
  3. D03
    Build and check a modelApply and explain models with ratios, rates and travel using build and check a model.
  4. D04
    Work backwards from what is knownApply and explain models with ratios, rates and travel using work backwards from what is known.
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