Measurement
Units and Conversion
Year 3 · Year 4 · Year 5 · Year 6
- ✓By the end of this lesson students will be able to identify and use common metric units for length, mass, and capacity.
- ✓By the end of this lesson students will be able to convert between common metric units (e.g., centimetres to metres, grams to kilograms, millilitres to litres).
- ✓By the end of this lesson students will be able to recall and use approximate equivalences between common metric and imperial units.
- ✓By the end of this lesson students will be able to convert between different units of time (e.g., minutes to hours, days to weeks).
- ✓By the end of this lesson students will be able to solve simple problems involving unit conversions.
Key concepts
Metric units are a system of measurement used in the United Kingdom and many other countries. For length, we use millimetres (mm), centimetres (cm), metres (m), and kilometres (km). Millimetres are tiny, centimetres are used for smaller objects, metres for larger objects or distances, and kilometres for long distances.
For mass (how heavy something is), we use grams (g), kilograms (kg), and tonnes (t). Grams are for light items, kilograms for heavier items (like a bag of sugar), and tonnes for very heavy items (like a car).
For capacity (how much liquid something can hold), we use millilitres (ml) and litres (l). Millilitres are for small amounts of liquid (like medicine), and litres are for larger amounts (like a bottle of juice).
To convert between metric units, we multiply or divide by powers of 10. For example, to convert a larger unit to a smaller unit, you multiply. To convert a smaller unit to a larger unit, you divide.
Imperial units are an older system of measurement still sometimes used in the UK, especially for certain things like road signs (miles) or milk (pints). We often need to know the approximate relationship between metric and imperial units.
Time is measured in seconds (s), minutes (min), hours (hr), days, weeks, months, and years. These units help us organise our lives and measure durations.
To convert between units of time, we use specific conversion factors. For example, there are 60 seconds in 1 minute, 60 minutes in 1 hour, and 24 hours in 1 day.
Key facts to remember
- 110 millimetres (mm) = 1 centimetre (cm)
- 2100 centimetres (cm) = 1 metre (m)
- 31000 metres (m) = 1 kilometre (km)
- 41000 grams (g) = 1 kilogram (kg)
- 51000 millilitres (ml) = 1 litre (l)
- 660 seconds (s) = 1 minute (min)
- 760 minutes (min) = 1 hour (hr)
- 824 hours (hr) = 1 day
- 97 days = 1 week
- 10Approximate conversions: 1 inch ≈ 2.5 cm, 1 kg ≈ 2.2 lb, 1 litre ≈ 1.75 pints
Worked examples
Example 1
Convert 3 metres into centimetres.
Answer
300 cm
Remember, 'centi' means 'one hundredth', so there are 100 centimetres in a metre.
Example 2
How many minutes are there in 2 hours and 15 minutes?
Answer
135 minutes
Always convert to the smallest unit first if you have mixed units.
Example 3
A bag of apples weighs 1 kilogram. Approximately how many pounds is this?
Answer
Approximately 2.2 pounds
It's important to remember that metric/imperial conversions are often approximations.
Common mistakes
- ✗Incorrectly multiplying or dividing by powers of 10 when converting metric units (e.g., thinking 1m = 10cm).
- ✗Confusing units, such as using units of length for mass or capacity.
- ✗Not knowing basic time conversion facts (e.g., 60 minutes in an hour).
- ✗Treating approximate metric/imperial conversions as exact values.
- ✗Forgetting to convert all parts of a measurement when asked (e.g., only converting hours but not minutes).
Exam tips
- ★Memorise the key conversion facts for metric units and time. Write them down if you get stuck.
- ★Always check the units in the question and make sure your answer is in the correct unit.
- ★For metric conversions, think 'bigger unit to smaller unit = multiply', 'smaller unit to bigger unit = divide'.
- ★Estimate your answer first to check if your final calculation is reasonable.
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