Here are four fractions all jumbled up: 1/2, 1/3, 2/3, 5/6. If I asked you to line them up from smallest to biggest, which one would you put first? What is tricky about doing that when the bottom numbers are all different?
Each fraction is shaded on its own strip, and every strip is the same length. The further the shading reaches, the bigger the fraction. Watch first, then check by re-writing over a common denominator.
Let's order this set together at the board: 1/4, 3/8, 1/2, 5/8. Before each strip is shaded, I'll ask the class to predict where it lands, then a pupil shades it and we check the prediction. When all four are shaded, we read the order out loud, smallest first.
In your maths copy, re-write each of these four fractions over sixths. Just the re-write for now — we'll say the order out loud together in a moment.
Remember: multiply the top and the bottom by the same number so each fraction is written over sixths.
Today we order three sets, each one a step harder than the last: first 2/5, 1/2, 3/5, 7/10, then 1/3, 1/2, 2/3, 5/6, then the trickiest one 1/3, 5/12, 1/2, 3/4. We'll shade each set and read the order off, smallest first.
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