Mathematics
Intermediate
50 mins
Teacher/Student led
+80 XP
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Renaming Length Units: Metres to Centimetres and Centimetres to Millimetres

Learn to rename lengths between metres, centimetres and millimetres by multiplying to go to smaller units and dividing to go to larger units. Practice splitting lengths into mixed units.

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    1 - Getting Started ~4 mins

    Here is a question. This piece of string is one metre long, so how many centimetres long is it as well?

    Key point

    The string did not get any longer or shorter when we asked the question. We are just about to give the same length a different name.

    2 - Watch and Notice ~9 mins

    Illustration for Watch and Notice

    One centimetre is ten millimetres

    Watch the converter. One centimetre is the same as ten millimetres. We went to a smaller unit, so the number got bigger.

    3 cm to 30 mm

    Here is three centimetres changed to millimetres. Notice we multiply by ten each time we go from cm to mm, so 3 cm becomes 30 mm.

    2 m to 200 cm

    Now metres to centimetres. One metre is one hundred centimetres, so two metres is two hundred centimetres. This time we multiply by one hundred.

    150 cm to 1 m 50 cm

    Watch this one carefully. One hundred and fifty centimetres is one whole metre with fifty centimetres left over. We can write it as a mixed length: 1 m 50 cm.

    3 - Try It Together ~11 mins

    Today we work through these renamings together on the board, one at a time. Before each one is checked, follow along and decide for yourself: are we going to a smaller unit or a bigger unit?

    1. Change 4 cm to millimetres.
    2. Change 5 m to centimetres.
    3. Change 60 mm back to centimetres.

    Rename it together

    4 - Build the Rename Column in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, complete this short rename column. Beside each one, write the ×10 or ÷10 (or ×100) that you used.

    • 5 cm = ☐ mm
    • 70 mm = ☐ cm
    • 3 m = ☐ cm
    • 250 cm = ☐ m ☐ cm

    5 - Class Challenge ~7 mins

    Today we work through these renamings one at a time, getting trickier as we go. We will take them in turn: first 8 cm to millimetres, then 90 mm back to centimetres, then 6 m to centimetres. The last one, 325 cm, has a leftover, so when we reach it we will watch the metres carefully and split it into metres and centimetres.

    Rename the length

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    Why does the number get bigger when we change a length to a smaller unit, like cm to mm? Think about how many small parts it takes to make one big part.

    7 - What's Next ~3 mins

    What we learned today

    • The same length can be renamed: 1 m = 100 cm and 1 cm = 10 mm.
    • Going to a smaller unit, we multiply (×10 or ×100), and the number gets bigger.
    • Going to a bigger unit, we divide (÷10 or ÷100), and the number gets smaller.
    • A leftover can be written as a mixed length, like 325 cm = 3 m 25 cm.

    Coming up

    Coming up

    Next we travel much further and meet the kilometre, the unit we use for journeys and distances that are too long to measure with a ruler.

    Pupil practice
    Module 4 · Measures: Length, Weight and Capacity Measures
    Lesson 45 · Renaming Length Units: Metres to Centimetres and Centimetres to Millimetres
    Download Activity Book page (PDF)
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