Here is a train-station departure board reading 16:45, and beside it a kitchen clock reading quarter to five in the afternoon (it is after dinner, not before breakfast).

Are these two clocks showing the same time, or two different times? What makes you think so?

The clocks show the same times written two ways. Watch how each morning and afternoon time turns into twenty-four-hour time, and keep an eye on the inner 13 to 24 ring.

Today we work through these times together on the clock: 8:30 a.m., 3:45 p.m., 11:10 p.m. and 6:05 a.m. One pupil at a time sets each one on the board. Everyone else works out the 24-hour form in your head and we say it aloud together to check before the clock confirms it.

First we learn how to go backwards from 24-hour time. Take the station board time 16:45: the hour is bigger than twelve, so subtract twelve from sixteen to get four, the minutes stay 45, and it is afternoon, so that is 4:45 p.m. Morning times under twelve just drop the leading zero and stay a.m.

Now we convert these five times. The first four are already shown in 24-hour form, so for each one say what it is in 12-hour form: 08:05, 14:30, 23:59 and 00:15. The last one goes the other way: 'twenty to midnight', say what that is in 24-hour form. The midnight and midday ones catch people out, so we will say each one aloud before we check it.

Today we learned

• 24-hour time runs from 00:00 at midnight to 23:59, with no a.m. or p.m.
• After midday, add twelve to the hour: 1:15 p.m. becomes 13:15.
• Midnight is 00:00, but noon stays 12:00 — the two cases that trip people up.