Picture a square that measures one metre along every side. Hands up: how many centimetres run along just one edge of it?
Now the harder question, hold it in your head before anyone answers: how many little one-centimetre squares would it take to cover the whole big square?
Look at the one-metre square with its grid. Notice how the grid splits each edge, so the whole square is filled with rows and rows of one-centimetre squares.
Count with the grid: how many squares in one row, and how many rows? Notice the answer is not the same as one edge count. Look at what the two counts do together.
Now look at two square metres side by side. If one whole holds that many, two wholes hold twice as many.
A metre is 100 centimetres, so going down from m to cm we multiply by 100, and coming back up we divide by 100. Watch the label between the two units: it shows × 100 going down and ÷ 100 coming back up.
On screen is the conversion ladder for the edges.
Try it together: set the ladder to 1 m and watch it become 100 cm, then send 100 cm back up to 1 m. Once we can all see the edge scales by 100, we will use that to work out the area next.
In your maths copy, write each area from today's lesson in both cm² and m², side by side. Between the two, draw a conversion arrow and write "×10,000" or "÷10,000" on it, pointing the way you converted.
First, use the ladder to convert some everyday classroom lengths, each one a step harder: 4.2 m into cm, then 250 cm into m, then 3.5 m into cm.
Then watch as we build the tiling problem on the board together: how many 25 cm × 25 cm tiles cover 1 m²? We will work out the area of one tile, then share the whole 10,000 cm² between the tiles to find the answer.
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