Take three hands-up answers, not open call-outs. Give five seconds of quiet think-time first.

Listen for the key idea: make them all the same form. If pupils reach straight for decimals, that is the strongest route and worth revoicing — but let them justify it rather than confirming it yourself.

These are static snapshots. Point, don't drag; walk each in turn.

0.60: 3/5, 60% and 0.6 are one reading, the same amount in disguise. This is the whole lesson in one picture. It's the biggest of the three.

0.55: before pointing, ask the class to predict whether it sits above or below the three-fifths mark. It lands just below; 0.60 is more than 0.55.

0.58 (58%): the key one. With all three as decimals the order falls straight out: 0.55, 0.58, 0.60, smallest to biggest.

This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.

Stages 1 and 2 use the slider: have a pupil state each conversion (7/10 = 0.70, 0.72, 68% = 0.68); the class confirms. Order is 0.68, 0.70, 0.72.

Stage 3 is board working, not the slider — the battery reads a value off 0–100, so it cannot model taking a quantity off €48. Work the discount on the board both ways: 1/4 of €48 = €12, and 0.25 × 48 = €12. Have pupils see the two answers land on the same €12 side by side. This is the two-methods-agree idea made visible.

Head off the length trap: 68% is not bigger than 0.72 just because '68' looks like a big number. Revoice: as a decimal it is 0.68, which is less.

These are the practice questions — pupils take turns at the board, say which numbers still fit the clues, and the class confirms before moving on to the next mystery. Keep the board work brisk rather than over-explaining.

Mystery 1 is the warm-up: 40% is 0.4, and 40/100 simplifies to 2/5. Mystery 2 is the clue chain: between 0.5 and 0.8, an even percentage, tidy tenths, above 60% and not 3/5 — which leaves 0.7 = 7/10 = 70%. Mystery 3 steps up to two decimal places: between 0.125 and 0.25 with matching digits, so 0.22 = 22% = 11/50. Mystery 4 is the hardest because the form has to be USED: 45% of 40 pupils is 18.

• Simplifying is the stretch throughout — pupils must divide top and bottom to check the fraction, not just read the decimal.
• If the class stalls on mystery 2, re-read the first clue aloud and ask a volunteer to name any single number that still fits it, then test that number against the next clue before moving on.