Mathematics
Intermediate
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Elapsed Time: Counting on Through the Hour

Learn to find how long a bus journey lasts by counting on through the hour-mark. Use the o'clock as a friendly stopping point to split tricky times into two easy hops.

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    1 - Getting Started ~4 mins

    Here are two bus times from a Dublin Bus timetable. One bus leaves your stop at 8:47 and the very next one reaches the school gate at 9:25.

    How long is that journey? Don't work it out fully yet, just have a guess in your head: is it more or less than half an hour?

    2 - Watch and Notice ~11 mins

    8:47 to 9:25

    Elapsed time just means how long passed between leaving and arriving. The clever trick is to count on in two hops: first up to the next o'clock, then on to the arrival time.

    Let's build the first hop, from 8:47 up to 9:00. Count on in small jumps: 47, then 50 is 3 minutes, then 55 is 5 minutes more, then 60 (which is 9:00) is another 5. That is 3 + 5 + 5 = 13 minutes to reach 9 o'clock. Now the second hop, from 9:00 on to 9:25, is 25 minutes. So 13 + 25 = 38 minutes in total.

    Picture it on a number line: a small hop of 13 minutes lands us on the 9 o'clock mark, then a bigger hop of 25 minutes lands us on 9:25. Two hops, one friendly stop in the middle.

    10:15 to 10:55

    This time both times sit inside the same hour, so there is just one easy hop: from 15 minutes past to 55 minutes past is 40 minutes.

    6:30 to 7:00

    A nice clean half-hour. From half past six to seven o'clock is exactly 30 minutes.

    3 - Try It Together ~9 mins

    Today we work these journey times out together. I'll set a start time on the clock, then call out an arrival time, and you count on to find how long the journey lasted.

    Tip

    Remember the two hops: up to the next o'clock first, then on to the end.

    Count on to the arrival time

    4 - Work It on a Number Line in Your Copy ~3 mins

    COPYBOOK MOMENT

    Elapsed time is how long passed between leaving and arriving. In your maths copy, work each of these three problems on a sketched number line. Mark the start time and the end time, count up to the next hour, then on to the end. Write the total minutes underneath.

    • Leaves 9:50, arrives 10:20
    • Leaves 8:35, arrives 9:15
    • Leaves 11:55, arrives 12:30

    5 - Class Challenge ~8 mins

    Today we work through these bus-journey times together. For each one, count on in two hops and predict how long the journey took before we move the hands. Then set the clock to the arrival time and use the elapsed readout to check whether your count was right.

    Watch out

    Some cross the next o'clock, so count carefully in two hops.

    How long is each bus journey?

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    What did you think when a journey crossed the next o'clock? Did counting in two hops make it easier, or harder? When does the o'clock-first trick really earn its keep?

    7 - What's Next ~2 mins

    What we learned today

    • Elapsed time is how long passes between a start and an end time.
    • Counting on in two hops — up to the next o'clock, then on to the end — makes the count easy.
    • The o'clock is the friendly stop that splits a tricky journey time into two simple parts.

    Coming up

    Coming up

    Next we stretch the same counting-on idea across whole hours and even across midnight, so we can work out how long a flight or a long train journey takes.

    Pupil practice
    Module 5 · Time and Money Measures
    Lesson 63 · Elapsed Time: Counting on Through the Hour
    Download Activity Book page (PDF)
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