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?
Show the four fractions in a scrambled order on the IWB and take two or three hands-up guesses only — do not settle the order yet. The point is to surface that different denominators make comparison hard, which the lesson then solves. Give five seconds of quiet think-time before any hands go up.
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.
Order from strip lengths first, name the common denominator and re-write only as a check.
First set, over sixths: 1/2, 1/3, 2/3, 5/6. Draw out that halves, thirds and sixths all fit inside sixths.
Second set, over eighths: 1/4, 3/8, 1/2, 5/8. The key one, the near-miss pair. Pause before the reveal: is 3/8 bigger than 1/4? Then show 1/4 = 2/8, so 3/8 just pips it.
Third set, over tenths: 2/5, 1/2, 3/5, 7/10. Re-write to check: 2/5 = 4/10, 1/2 = 5/10, 3/5 = 6/10, 7/10 stays. Tops now match the order the strips already showed. Don't move on until the class can say tenths aloud.
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.
This round is for talking it through together — no marking yet.
Call a pupil to shade each strip in turn, but keep the watching class working: before each strip, ask the whole class to predict where it will land (further or shorter than the last), then turn and name a pupil to say why. After all four are shaded, ask the class to read off the order from shortest to longest and revoice a pupil's ordering aloud. Watch for the 1/4 vs 3/8 slip — pupils who think a longer bottom means bigger will rank them the wrong way round. Revoice: 1/4 is the same as 2/8, so 3/8 has one more eighth.
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.
Walk the room glancing at the common-denominator step — this is whole-class copybook practice, not marking. Check pupils multiply both top and bottom; the re-write is the whole point, so give them time to finish it before moving on. The ordering is done aloud together afterwards, so nobody needs to number them here.
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.
These are the practice questions — pupils check each answer.
Pupils take turns at the board and the class confirms each answer before moving on. Keep the board work brisk rather than over-explaining. The third set, 1/3, 5/12, 1/2, 3/4, all fits over twelfths (4/12, 5/12, 6/12, 9/12), so the strips tie it together and the order reads off cleanly — draw out that twelfths is the shared home for thirds, twelfths, halves and quarters.
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