Look 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?
Watch 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.
The pencil on the board passes the big number 4 and goes five little marks further. So it reaches 4 cm and 5 mm.
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.
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.
Each time, we ask ourselves two questions: how many whole centimetres does it reach, and how many extra little marks past that?
In your maths copy, write 1 cm = 10 mm at the top of a fresh line. We are going to write each length two ways: first in centimetres and millimetres, then in millimetres only.
A rubber measures 4 cm 5 mm. Multiply the centimetres by 10, then add the extra millimetres: (4 × 10) + 5 = 45 mm.
Copy that worked line carefully. Then finish the next two on your own, using the same rule each time.
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".
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.
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.
Next we look at measuring longer things, choosing between centimetres and metres so we pick the unit that fits.
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