Mathematics
Intermediate
40 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Length: Centimetres and Millimetres

Learn to read lengths in centimetres and millimetres using a ruler. Discover that one centimetre equals ten millimetres, and practise measuring small classroom objects accurately.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook very closely at your own ruler, right between the big number 3 and the big number 4. Can you see the tiny little marks crowded in between them? How many little gaps do you think you could count from one big number to the next?

    2 - Watch and Notice ~8 mins

    Illustration for Watch and NoticeWatch as we read one length on the ruler together, very carefully. First we find the last whole centimetre the object reaches, then we count on in those little millimetre marks to the very end.

    Worked example

    The pencil on the board passes the big number 4 and goes five little marks further. So it reaches 4 cm and 5 mm.

    Key point

    Now let us write that same length a second way, in millimetres only. Each centimetre is 10 mm, so 4 cm is 40 mm. Then we have 5 more little marks, so 40 + 5 makes 45 mm altogether. We always do the same thing: multiply the centimetres by 10, then add on the extra millimetres.

    3 - Try It Together ~9 mins

    Now we read a length on the board together. We look at the object on the ruler and read it first to the nearest whole centimetre, and then read it more carefully to the nearest millimetre.

    Key point

    Each time, we ask ourselves two questions: how many whole centimetres does it reach, and how many extra little marks past that?

    Read to the nearest millimetre

    4 - Write the Lengths in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, write 1 cm = 10 mm at the top of a fresh line. Then record three small objects, each with its length written two ways: once in centimetres-and-millimetres, and once in millimetres altogether. Remember the rule: multiply the centimetres by 10, then add on the extra millimetres.

    Set out each object on its own line, like this:

    • rubber: 4 cm 5 mm = (4 × 10) + 5 = 45 mm
    • key: ___ cm ___ mm = ___ mm
    • crayon: ___ cm ___ mm = ___ mm

    5 - Class Challenge ~9 mins

    Now measure four small classroom items with your own ruler, reading each one to the nearest millimetre: a crayon, a rubber, a key and a lolly stick. Write each one as "___ cm ___ mm".

    Stretch

    For a stretch, also try a coin and a staple. These two are the trickiest to line up, so it is fine to read them to the nearest millimetre as best you can. Then find the difference in millimetres between your longest and your shortest item.

    Hands-on Task

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    When would millimetres tell us something that whole centimetres would miss? Think of a time it really matters to be that little bit more exact.

    7 - What's Next ~2 mins

    What we learned

    • There are ten millimetres in every centimetre, shown by the little marks between the big numbers.
    • To read a length, find the last whole centimetre, then count on in millimetres to the end.
    • A length like 4 cm 5 mm can also be written as 45 mm: multiply the centimetres by 10, then add the extra millimetres (4 × 10 + 5 = 45).

    Coming up

    Next we look at measuring longer things, choosing between centimetres and metres so we pick the unit that fits.

    Pupil practice
    Module 4 · Measures: Length, Weight and Capacity Measures
    Lesson 44 · Length: Centimetres and Millimetres
    Download Activity Book page (PDF)
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