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Achievement objective GM6-2

In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:

  • apply the relationships between units in the metric system, including the units for measuring different attributes and derived measures.


  • Converts between units for the attributes given in the table below. (This includes converting between units for volume (capacity) and mass, and between simple derived units.)
  • Understands the role of prefixes as conversion factors of base units, for example, kilo means one thousand, milli means one thousandth, GB means 10^9 bytes.
  • Uses derived measures to describe rates, for example:
    • speed (kilometres per hour km/h, metres per second m/s)
    • fuel and energy consumption (litres per 100 kilometres L/100km, joules or calories per minute)
    • unit price (cents or dollars per gram)
    • density (kilograms per cubic metre, kg/m3, grams per cubic centimetre g/cm3)
    • More complicated derived measures such as those for pressure, force, and power are not expected at level 6.
  • See key mathematical ideas on NZmaths.


GM6-2 links to M8-4.

Possible context elaborations

Assessment for qualifications

NCEA achievement standards at level 1, 2 and 3 have been aligned to the New Zealand Curriculum. Please ensure that you are using the correct version of the standards by going to the NZQA website.

The following achievement standard(s) could assess learning outcomes from this AO.

Last updated September 17, 2018