How many minutes are there in 2½ hours? With metres and centimetres we just slide the decimal point along. Can we do the same trick here, or does time behave differently?
Give five seconds of quiet think-time, then take three hands-up answers. Listen for the common slip of writing 2.5 and 'shifting the point' to 25. Don't correct it yet — hold it as the puzzle the lesson unpicks.
Look at the clock. The second hand goes all the way round, a full sixty seconds, before the minute hand moves on by just one notch.
The minute hand goes all the way round, a full sixty minutes, to make one hour.
A whole day is twenty-four of these hours.
It takes lots of small units to fill one big unit, so these jumps are 60s and 24s, not tens. That is why we cannot slide a decimal point here. Because it takes many small units to make one big one, to change a big unit into a small one we multiply. To change a small unit into a big one we divide.
Point at each clock in turn. Say the fact each one shows, then pin the big idea: it takes lots of small units to fill one big unit, and none of these jumps are tens, so we can't slide a decimal point — we multiply or divide.
First let's build 2½ hours on the board by hand. Two whole hours is 2 × 60 = 120 minutes. The half hour is ½ × 60 = 30 minutes. Add them: 120 + 30 = 150 minutes. So 2½ hours is 150 minutes, not 25 — we multiplied, we didn't slide the point.
Now onto the × 60 machine. Before we feed 3 hours through, predict: how many minutes will come out? Because it takes many small minutes to make one big hour, going hours to minutes means we multiply.
Then swap the rule to ÷ 60 and feed those minutes back through. Where does it land? Going the other way, minutes to hours, we divide.
Talk this one through together — pupils take turns at the board and the class agrees or corrects out loud.
Build 2½ hours by hand first, on the board, before touching the machine: 2 × 60 = 120, then ½ × 60 = 30, then 120 + 30 = 150. Hold out for 150 and head off the '25' answer — say we multiplied, we didn't slide the point. Then take a prediction before running the machine: set the rule to × 60 and run 3 → 180. Swap the rule to ÷ 60 and run 180 → 3 so the class sees minutes-to-hours is the reverse. If time allows, swap the rule to × 24 and send 2 days through to meet days-to-hours while the multiply idea is fresh.
In your maths copy, write each conversion with the multiply or divide you used and the unit you converted to. For 2½ hours, write it in parts the way we did on the board, then the rest as single lines:
Underline the answer at the end of each line.
Walk the room glancing for the × or ÷ written in and the correct unit named — this is whole-class copybook practice, not marking. For the 2½-hour line, check pupils have written it in the three parts (120, then 30, then 120 + 30 = 150), not just the bare answer. Watch for anyone who has 'slid the point' to 25 min and quietly point them back to the board working.
Now let's crack these on the board in order. First take 180 minutes back to hours. Next turn 3 days into hours. Then convert 2 hours into minutes. Last comes the film stretch. Those 120 minutes from a 2-hour film, how many seconds is that? Predict multiply-or-divide before each one goes through.
This is the practice round — 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.
For each challenge, ask the class first: multiply or divide — and by what? The film stretch is a double step: × 60 for hours-to-minutes (120), then × 60 again for minutes-to-seconds (7,200). Let a strong pupil talk the class through the second multiply.
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