Mathematics / Year 8 / Measurement and Geometry / Using units of measurement

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Curriculum content descriptions

Choose appropriate units of measurement for area and volume and convert from one unit to another (ACMMG195)

Elaborations
  • choosing units for area including mm2, cm2, m2, hectares, km2, and units for volume including mm3, cm3, m3
  • recognising that the conversion factors for area units are the squares of those for the corresponding linear units
  • recognising that the conversion factors for volume units are the cubes of those for the corresponding linear units
General capabilities
  • Numeracy Numeracy
ScOT terms

SI units,  Square metres,  Conversion of units

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Year level 7-8
Resource type
Learning area Mathematics
Interactive resource

Working it out!

See how small a cubic centimetre looks when compared with a cubic metre (100 cm x 100 cm x 100 cm). Then estimate the volume of cuboids, such as a packet of food and a tool box. Rotate a 3D grid to help you work out dimensions in centimetres. First work out the area of the base. Then multiply your answer by the height to ...

Moving Image

Mapping farmland: using area and trigonometry

In northern Queensland's Gulf region, some farmers use GPS mapping to help manage their extensive properties. Use this clip as a context for applying your understanding of area, in particular your understanding of conversion between square kilometres and hectares. Apply trigonometry and Pythagoras' theorem.

Interactive resource

How big is a cubic metre?

Explore just how big a cubic metre really is. See how small a cubic centimetre looks when compared with a cubic metre . Work through a series of questions about the length, width and height of a cubic metre. Work out areas of layers within a cubic metre. Use the areas of these layers to work out the total number of cubic ...

Interactive resource

The Metrix: volume

Calculate the required volume of antibiotic to fight an alien virus threatening the Metrix spacecraft. Use the metric measurement table for volume to help you make unit conversions. This learning object is one in a series of 26 objects.

Moving Image

Calculating area: locust plagues

How many locusts in a plague? Find out just how big the threat of locusts can be and how farmers try to prevent the plagues from getting out of control. This clip provides context for a combination of area, area units and rate problems.

Interactive resource

The Metrix: decimals: rate 1

Measure the rate of speed required for the Metrix spacecraft to escape the Earth’s orbit. Use the metric measurement table to help you make unit conversions involving decimal numbers. This learning object is one in a series of 26 objects.

Interactive resource

The Metrix: asteroid

Captain the Metrix spacecraft on a mission to save Earth from an asteroid collision. Use the metric measurement tables for mass, length and volume to help you make unit conversions. Some of these will involve rates, such as speed and frequency. (For example, to ensure a successful launch, select the rate of concentration ...

Interactive resource

The Metrix: power

Charge the Metrix spacecraft’s laser gun with the required power rating. Use the metric measurement table to help you make unit conversions. This learning object is one in a series of 26 objects.

Interactive resource

The Metrix: decimals: rate 2

Measure the air pressure required to destroy an alien attacking the Metrix spacecraft, by converting between units of volume and time. Use the metric measurement table to help you make unit conversions involving decimals. This learning object is one in a series of 26 objects.

Interactive resource

The Metrix: asteroid: decimals

Captain the Metrix spacecraft on its mission to save Earth from an asteroid collision. Use the metric measurement tables for mass, length and volume to help you make metric unit conversions involving decimal numbers. Some of these will involve rates, such as speed and frequency. (For example, to blow up the asteroid, find ...

Interactive resource

The Metrix: frequency

Replace the Metrix computer’s failed CPU with the required frequency component. Use the metric measurement table to help you make unit conversions. This learning object is one in a series of 26 objects.