We have been matching fractions, decimals and percents — the same amount written three ways. Some of these are easy to read straight off as tenths or hundredths; a few are trickier. Now look at this new value: 1/8. Have a guess: what is 1/8 as a decimal? What about as a percentage? Don't worry if you are unsure — we will check it together in a moment.
Display the row 1/8 = ? = ? on the board. Give five seconds of quiet think-time, then take two or three hands-up answers, not open call-outs. Frame it as a prediction — don't confirm yet, the model step reveals it.
The interactive shows four fractions, each one as a fraction, a decimal and a percentage, using a phone battery. Watch how full each battery gets, and notice which decimals stop cleanly and which run on forever.
1/8: three ways at once, 0.125 and 12.5%. Point to the three decimal places; eighths are the first fractions to need a third place.
1/3 is the special one: 0.333... = 33.3...%, the 3 runs on forever, hence the three dots. Name it a recurring decimal. Pause here and take a prediction: will 2/5 run on or stop cleanly?
2/5: reveal after the prediction. Four tenths, so 0.4 = 40%, one tidy place. The contrast with 1/3 is the point; most fractions stop tidily, only a few run on.
7/10: the easy landing. Already out of ten, so 0.7 = 70%.
Now we work through these values together on the board: 3/5, then 1/4, then 9/10, and finally 1/6. We will all predict the decimal and percent first, then a named pupil comes up to drag the battery slider and check. Three of them stop cleanly, and one is a new one that runs on. Say which is which before we check each one.
This round is for talking it through together — the whole class predicts, then named pupils take turns at the board and the class agrees or corrects out loud.
For each value, ask the class to predict the decimal and percent before a pupil drags the slider to check. Order builds: 3/5 (0.6, clean), 1/4 (0.25, clean), 9/10 (0.9, clean), then 1/6 as the wrinkle — 0.1666... runs on. This is the first time pupils meet 1/6; link it back to 1/3: one sixth also runs on forever, the same recurring pattern. Revoice a strong answer: so 1/6 is like 1/3: it runs on forever and never quite stops.
In your maths copy, complete the row for each given value by writing the missing two equivalents. Underline your final answer on each row.
Walk the room glancing at each row for the two missing forms and the underline — this is whole-class copybook practice, not marking. Watch for pupils writing 0.7 as 7% instead of 70%.
Now we work through these together on the board, one form given each time and the other two to find: 0.6 (which fraction? which percent?), then 1/8, then 70%, then 0.5, and last the tricky one, 1/6 that runs on. Predict where the battery will land before each check.
These are the practice questions — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
The practice set rises in difficulty: 0.6 and 1/8 are secure recalls, 70% and 0.5 need a translation, and 1/6 is the key one — its 0.1666... runs on, so the marker lands near 17% and the class names it as a running-on decimal.
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