ACARA v9 CONTENT DESCRIPTION “choose appropriate metric units when measuring the length, mass and capacity of objects; use smaller units or a combination of units to obtain a more accurate measure”
Builds on earlier measuring with rulers, scales and containers, and on the place-value pattern of tens. Year 5 makes the choice of unit deliberate: which metric unit suits the length, mass or capacity being measured, and how a smaller unit, or a combination of units, gives a more accurate result. Metric units all step by tens, so moving between them is the same multiplying and dividing met in number, which is why choosing and combining units is measurement and number working together.
Measuring needs the right unit
Every measurement answers how much, but the number means nothing without a unit, and the unit must suit what is being measured. A pencil is sensibly given in centimetres, a person's mass in kilograms, and the drink in a bottle in millilitres or litres. Choosing a unit that is far too large or too small makes a measurement clumsy: a road measured in millimetres, or a person weighed in milligrams, gives an unwieldy pile of digits. The first skill of good measuring is therefore to match the unit to the size of the thing, so the number that results is sensible and easy to use.
Match the unit to the thing
Pick the metric unit that gives a sensible number.
Which metric unit best measures the length of a pencil?
The metric ladder for length
Metric units of length form a tidy ladder, each step ten or a hundred or a thousand times the last. Ten millimetres make a centimetre, a hundred centimetres make a metre, and a thousand metres make a kilometre, so the whole system climbs by powers of ten. Because the steps are powers of ten, converting between units is just multiplying or dividing by ten, a hundred or a thousand, the same moves used with place value. Knowing where a unit sits on the ladder tells a child both how big it is and how to swap it for a neighbour.
The metric ladder for length
Each unit steps up from the last by tens.
Length climbs by tens: a centimetre is ten millimetres, a metre a hundred centimetres, a kilometre a thousand metres.
Units for mass and capacity
Mass and capacity follow the very same pattern. Mass runs from grams up to kilograms, with a thousand grams in a kilogram, while capacity runs from millilitres to litres, with a thousand millilitres in a litre. The unit is chosen to fit the object, just as with length: grams for an apple, kilograms for a school bag, millilitres for a dose of medicine, litres for a bucket. Because every metric quantity steps by tens, the reasoning learned for length transfers straight across, so there is one system to understand rather than three separate ones.
Units for mass and capacity
Each quantity has metric units that step by tens.
Each quantity has its own metric units, all stepping by tens. Reveal the units for each.
A smaller unit gives a finer measure
When a measurement must be accurate, a smaller unit gives a finer answer. Measuring a crayon to the nearest centimetre might give eight centimetres, but measuring to the nearest millimetre might give eighty-four millimetres, which pins the length down far more closely. The smaller the unit, the less is rounded away, so the measure sits nearer the true length. Choosing a finer unit is the simplest way to improve accuracy, which is why a tailor works in millimetres and a builder often in centimetres rather than whole metres.
A smaller unit gives a finer measure
The smaller the unit, the less is rounded away.
How does measuring a crayon change with a smaller unit?
Combining units for precision
Accuracy can also be carried by combining units. A height is often given as one metre and twenty-five centimetres rather than as a single unit, and a mass as two kilograms and three hundred grams. A combination keeps a large unit for the bulk of the measure and a smaller one for the part left over, so it is both easy to read and precise. Combined units are simply the same total expressed across two steps of the ladder, and reading them fluently means seeing, for instance, that one metre twenty-five is the same as a hundred and twenty-five centimetres.
Combining units for precision
A big unit for the bulk, a small one for the rest.
How is 1250 mm written using a larger unit and a smaller one?
Choosing and combining with care
Good measurement comes down to two choices made with care: which unit fits the thing, and how fine or combined a measure the task needs. Match the unit to the size, reach for a smaller unit or a combination when accuracy matters, and remember that every metric unit is linked to its neighbours by tens. With those habits a child can measure length, mass and capacity sensibly and precisely, and is ready for the perimeter, area and other measuring the rest of Year 5 brings.
Quick self-check
1. The best metric unit for the length of a pencil is...
2. 1 metre is the same as...
3. The best unit for the mass of an apple is...
4. A more accurate measure of a desk's width uses...
5. 1250 millilitres written in combined units is...