Year 3 maths · Key Stage 2 · Measurement
Year 3 measurement: length, mass, capacity, money and time
Year 3 measurement brings together several everyday skills. Children measure, compare, add and subtract lengths, masses and capacities, find the perimeter of simple shapes, work out change from amounts of money, and tell the time from an analogue clock to the nearest minute, including how long events last.
Length, mass, money and time, explained
The metric units children use are metres, centimetres and millimetres for length; kilograms and grams for mass; and litres and millilitres for capacity. They know that 1 m is 100 cm, 1 cm is 10 mm, 1 kg is 1,000 g and 1 l is 1,000 ml, and use these facts with whole numbers, for example 5 m = 500 cm. They read rulers, scales and jugs where the marks fall between numbers, working out what each small division is worth. Then they compare and calculate: 1 kg 200 g plus 350 g, or a rope that is 3 times as long as one of 40 cm.
Perimeter is the distance all the way around the edge of a flat shape. Children measure each side of simple 2-D shapes with a ruler and add the lengths. It is most useful to start with a real shape, such as a book cover or a picture frame, so the idea of walking round the edge is clear before any numbers appear.
With money, children add and subtract amounts, and give change, using pounds and pence in practical situations such as a pretend shop. They record pounds and pence separately, for example £2 and 45p; writing money as a decimal, like £2.45, comes in Year 4. Change is often found by counting on from the price up to the amount paid, which is usually easier than subtracting.
Time has the most to learn. Children tell and write the time from an analogue clock, including clocks with Roman numerals from I to XII, and from digital clocks, first on the 12-hour clock and then on the 24-hour clock, so that 15:00 is 3 pm. They estimate the time and then read it to the nearest minute, and use the words o’clock, am, pm, morning, afternoon, noon and midnight. They also learn there are 60 seconds in a minute and 60 minutes in an hour, and record and compare times in seconds, minutes and hours, for example timing how many seconds it takes to write their name.
Children learn the number of days in each month, and that a year has 365 days while a leap year has 366, with an extra day on 29 February. A rhyme or counting along the knuckles of a fist is a favourite way to remember the months. Finally they compare how long things take, working out the duration of an event from its start and finish times, which is the hardest part because time doesn’t work in tens.
Words your child will hear
- Perimeter
- The total distance around the outside edge of a 2-D shape.
- Capacity
- How much a container can hold, measured in litres and millilitres.
- Mass
- How much matter something contains, which we measure by weighing in grams and kilograms.
- Duration
- How long something lasts, such as 45 minutes.
- am and pm
- am is from midnight to noon and pm is from noon to midnight.
- 24-hour clock
- A clock that counts the hours from 00 to 23, so 3 pm is 15:00.
- Leap year
- A year with 366 days, with 29 days in February. It usually comes round every four years.
What the National Curriculum says
In Year 3, pupils should be taught to:
- Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)
- Measure the perimeter of simple 2-D shapes
- Add and subtract amounts of money to give change, using both £ and p in practical contexts
- Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks
- Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, am/pm, morning, afternoon, noon and midnight
- Know the number of seconds in a minute and the number of days in each month, year and leap year
- Compare durations of events [for example, to calculate the time taken by particular events or tasks]
Objectives from the National Curriculum in England, © Crown copyright, used under the Open Government Licence v3.0.
A worked example
A swimming lesson starts at 4:35 pm and finishes at 5:20 pm. How long does it last?
- Don’t try to subtract the times like a column subtraction. There are 60 minutes in an hour, not 100, so the digits don’t behave in the usual way. Draw a line with the start and finish times and jump along it.
- Jump to the next whole hour first. From 4:35 to 5:00 is 25 minutes, because 35 + 25 = 60.
4:35 --25 min--> 5:00
- Now jump from 5:00 to the finish time. From 5:00 to 5:20 is 20 minutes.
4:35 --25 min--> 5:00 --20 min--> 5:20
- Add the two jumps: 25 + 20 = 45 minutes.
- Check with an analogue clock. The minute hand starts at the 7 (35 minutes), travels to the 12 (5 numbers, 25 minutes) and on to the 4 (4 numbers, 20 minutes). That is 45 minutes. Meanwhile the hour hand has moved from just past halfway between 4 and 5 to about a third of the way from 5 to 6.
The lesson lasts 45 minutes.
Common mistakes and how to help
Comparing measures by the numbers alone
A child sees 150 cm and 2 m and says 150 is bigger, because the number is bigger and the units are ignored.
What helps: Convert to the same unit before comparing. 2 m is 200 cm, so 2 m is longer. A ruler or tape measure showing both centimetres and metres makes this concrete.
Adding only the sides you can see when finding perimeter
On a rectangle with just two sides labelled 8 cm and 5 cm, a child adds 8 + 5 = 13 cm and forgets the other two sides.
What helps: Trace round the edge with a finger or a coloured pen, ticking each side. A rectangle has two pairs of equal sides, so the perimeter here is 8 + 5 + 8 + 5 = 26 cm.
Treating time like ordinary subtraction
Taking 4:35 from 5:20, a child works out 20 − 35, swaps it round to 15 and writes 1 hour 15 minutes, or says 85 minutes.
What helps: Use a time number line and jump to the next hour, as in the worked example. Counting on avoids having to subtract in a base that isn’t 10.
Reading the wrong hour once the time is past half
At ten to five, the hour hand is nearly on the 5. A child reads the number it is closest to and says the time is five fifty.
What helps: Point out that the hour hand has not yet reached the 5, so the hour is still 4: it is 4:50, which is ten to five. Say both ways of reading it out loud while pointing at each hand in turn.
How to help at home
- Measure in the kitchen. Weigh ingredients on kitchen scales and pour liquids into a jug, asking your child to read the scale between marks. “Is this more or less than half a litre?” builds a sense of size.
- Find the perimeter of something real. Measure the edges of a table mat, a picture frame or a rug with a tape measure and add them up. Ask first for an estimate, then measure and see how close it was.
- Play shops with real coins. Price a few items between 20p and £5 and pay with a bigger coin or note. Your child counts on from the price to find the change, saying each step aloud.
- Talk about time as you go. Keep an analogue clock where your child can see it. “It’s 4:10. We leave at 4:45. How long have we got?” turns durations into everyday practice.
- Use a calendar. Count the days until a birthday or a holiday, and work out which months have 30 days, 31 days or fewer. Look at February together and talk about why it has 29 days in a leap year, such as 2028, and 28 days in other years.
Related topics
Builds on
- Year 2: Standard units, money and time
Leads on to
- Year 4: Area, perimeter, units and time
Updated .