| Maths
Topic Number 3
It
was just a matter of time.
Old
Dr Algy B'rah faced the Lower Third maths class for
lesson 10 on Friday afternoon.
'Now,
today, or perhaps it was yesterday, when I said it would
be tomorrow. In fact sometime recently I said that it
was about time I spent some time teaching you time.
Time
is easy to understand and to help I've brought in a
real clock. This is the clock face. You'll see that
it doesn't have eyes or a nose but it does have hands.
Unlike you there are three hands to one face. The first
hand is the hour hand, the second hand is the minute
hand and the third hand is the second hand. Is that
clear?
The
little hand is the hour hand and the big hand is the
minute hand. That's minute not mi'nute, otherwise it
wouldn't be big would it?
There
are numbers round the clock face. They start with 1,
which is not the number at the top and go round to 12
which is at the top. This is because there are 24 hours
in a day. So there are 24 hours in a day and we put
12 of them on a clock and use them twice.
See
all these little marks. They are the marks for minutes
which can also be used for seconds and there are 60
of those, so 1 means 1 if it's hours and 5 if it's minutes
and 5 if it's seconds and 2 means 10 minutes when it's
not hours and 10 seconds when it's not minutes. So there
are 60 minutes in an hour and 60 seconds in a minute
and we only use them once, not twice like hours.
When
the big hand is pointing at 12 and the little hand is
pointing at 4 it is four o'clock. No it isn't really
4 o'clock now, sit down, and no, Seamus, o'clock is
not an Irish name.
The
hands go round and round and round. It is all very logical.
It takes the hour hand half a day to go round. It takes
the minute hand an hour to go round and it takes the
second hand a minute to go round. And when the hour
hand has been round twice it's tomorrow and today becomes
yesterday.
Now,
when we start to go past o'clock, we get to times like
5 past 1, which we write as 1.05. This means the little
hand starts to move away from the 1 and the minute hand
moves away from the 12. The little hand heads for 2
and the big, minute hand moves away from the 12, which
also means zero, but it doesn't say it, and heads for
the 1which also means 5. This goes until
30 past 1, which is also half past 1, which is also
1.30, but the. is not a decimal and 30 is not the decimal
.30 which is 3/10 but now it's 1/2, not .50 so we have
to remember that 1/2 can be written as .30, but if you
do that with decimal numbers I will mark it wrong.
Then
we say 25 to 2, which is not tutu or to to or two two
and 20 to 2 and quarter to 2 and 10 to 2. Of course
20 to 2 could be one third to 2, but that would be difficult
so we don't say that, because we want time to be easy.
And of course 20 to 2 could be one forty, which is not
the same as forty one backwards, because we always say
the hour first except when we say it second after the
minutes. And the to is not two or 10 to 2 would be 1022
which is forty four years before the Battle of Hastings.
So
we count in minutes after the hour, but only until 30
minutes after the hour, then we count down to the next
hour, even though the minute hand is now moving up,
except when we use times like 1.35. This means we change
the hour we are talking about at half past the first
hour and use the next hour half an hour before we reach
the next hour. Once you think about that it all becomes
clear, doesn't it?
Now
you have all that clear we can move on to the 24 hour
clock which is used for trains, buses and aeroplanes,
all examples where you really need to know time to be
on time. We still use the 12 hour clock face I've shown
you but when we go round the second time with the hour
hand we now have to remember that for the 24 hour clock
1 means 13, 2 is 14, 3 is 15 and so on. So the 1 on
the clock face can mean 1 for hours, 13 for hours, 5
for minutes and 5 for seconds. When we get past 6 numbers
like 9 can mean 9, 21,45 or 1/4 and 7 can mean 7, 19,35
or 25. And don't forget that 10 + 5 = 3 with the 12
hour clock and 10 + 5 = 15 with the 24 hour clock and
23 + 8 = 07 with the 24 hour clock and I know we haven't
written 0 in front of a whole number before.
On
the 24 hour clock after times like fifteen fifty nine
we go to sixteen hundred, which is really fifteen sixty,
but after 59 we go back to zero again and call it hundred.
This means we have to remember that 20.40 is not the
same as 20.40 in decimals but is the same as 8.40 and
20 to 9. That's clear to me, so it should be clear to
you.
I
just can't understand why you can't do time. No I don't
mean "do time" as in "doing time"
Bodger.'
And we expect young children to understand time!
Learners
who are insecure or uncertain do not handle inconsistencies
well. Time is full of inconsistencies, in the vocabulary
used and in the way numbers are used.
A
new book on time in the ‘What to do when you can’t..’
series will be published soon.
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