Converting units

Convert measurements of area between metric units using the linear conversion factor squared, convert measurements of volume between metric units using the linear conversion factor cubed, and calculate an area or volume from given dimensions and then convert the result into a different metric unit.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM6-2
New NZC (2026)
  • NZC26-P4-MEA-MEA-P-Y9-02
  • NZC26-P4-MEA-MEA-P-Y9-01
  • NZC26-P4-MEA-MEA-P-Y10-01
  • NZC26-P4-MEA-MEA-K-Y9-04
  • NZC26-P4-MEA-MEA-K-Y9-05
  • NZC26-P4-MEA-MEA-P-Y10-02
  • NZC26-P4-MEA-MEA-K-Y9-02
  • NZC26-P4-MEA-MEA-K-Y10-06
  • NZC26-P3-MEA-MEA-P-Y8-02
  • NZC26-P3-MEA-MEA-P-Y8-03

Resources

Terminology

  • Area
  • Volume
  • Squared unit
  • Cubed unit
  • Linear factor
  • Conversion

Task goals

  • Convert a measurement of area between metric units (mm squared, cm squared, m squared) using the linear conversion factor squared.
  • Convert a measurement of volume between metric units (mm cubed, cm cubed, m cubed) using the linear conversion factor cubed.
  • Explain, using a grid or cube diagram, why area conversions use the squared factor and volume conversions use the cubed factor rather than the plain linear factor.
  • Convert in both directions between a smaller and a larger area or volume unit, including with decimal values.
  • Calculate an area or volume from given dimensions and then convert the result into a different metric unit.

Where this fits

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

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Converting units

Converting units

Do

Selecting and using appropriate measurement units for a given context, converting between metric units if necessary and using appropriate prefixes

Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y9-02
Do

Estimating, calculating, converting, and accurately representing measurements

Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y9-01

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