Measurement applications: integrated projects

Solve sustained real-world measurement projects by interpreting one shared diagram, selecting and coordinating length, area, volume and rate calculations, combining component costs, and evaluating assumptions and limitations.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM5-1
  • GM6-1
New NZC (2026)
  • NZC26-P4-MEA-MEA-P-Y10-08

Resources

  • Other: Formula sheet
  • Other: Quantity table
  • Other: Calculator

Terminology

  • Cross-section
  • Compound shape
  • Perimeter
  • Area
  • Volume
  • Constant depth
  • Unit rate
  • Fixed cost
  • Assumption
  • Limitation

Task goals

  • Interpret one labelled compound-shape diagram as the shared model for several connected measurements.
  • Decompose the cross-section and calculate component and total areas.
  • Calculate boundary lengths, including a missing sloping length using Pythagoras where required.
  • Calculate prism volume from cross-sectional area and constant depth.
  • Apply unit prices, fixed fees, percentage allowances and whole-unit purchasing rules.
  • Combine component costs into a complete project quote.
  • Evaluate assumptions and limitations and justify a decision using calculated evidence.

Where this fits

What leads into this objective, and where it goes next.

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Measurement applications: integrated projects

Measurement applications: integrated projects

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Calculating the volume of cylinders and irregular prisms with a consistent cross-sectional area

Statement▸
Year 10 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y10-08

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