Transcript Trains - Teacher Tools

Trains
I am learning to find where fractions live amongst whole numbers.
3 , 5 etc.
4
2
2, 3, 4, etc.
Important terms:
5
Improper fraction: The numerator is larger than the denominator e.g.
2
Mixed fraction: The fraction is made up of a whole number and a proper
fraction e.g. 2 1
2
If the block to the left is a full train carriage
what must the block below it be?
Let’s add in some more to see if you
are correct.
So it takes four
4X
1
carriages to make one full carriage.
4
4
1
=
or 1 whole.
4
4
Imagine you had 7 of these 1 carriages. How many whole carriages
4
could you make?
1
7
7X
=
4
4
7
You can see that
is more than 1 whole but less than 2 wholes.
4
3
7
It is 1 whole …
and 3 more quarters …
So 1 is the same as
4
4
What fraction of a whole carriage is one of these little carriages?
6
1
6X
=
or 1 whole.
6
6
We have 16 small carriages. How many sixths is this?
1 16
16 X
=
6
6
Now let’s work out how many whole carriages this is.
You can see 16 is more than 2 whole carriages but less than 3 whole
carriages.
6
It is 2 whole carriages …
and four more sixths.
so
4
16
is the same as 2
6
6
1
This carriage is of a whole carriage. Imagine
3
16 of these.
How many thirds is this?
Record where
0
0
2
3
3
3
1
16
=
3
3
16
3
16 would sit on the number line below.
3
1
1
3
16 X
3
2
4
3
5
3
6
3
7
3
8
3
9
3
4
10
3
11
3
12
3
5
13
3
14
3
15
3
6
16
3
17
3
You can see 16 is more than 5 wholes and less than 6 wholes. Change this
3
16
1
improper fraction into a mixed fraction.
=5
3
3
18
3
Now try these questions on your own.
Change the following improper fractions into mixed fractions.
Click again when you have worked out all your answers.
1
6) 7
1) 15
3 3
2
3
4
4
3
2) 9
2
4
1
2
7) 13
4
3
1
4
3)
13
3
4
1
3
8) 25
10
2
5
1
or 2
10
2
4)
16
5
1
3
5
9) 19
9
2
1
9
9
2
1
10) 18
4
or
4
4
1
5
4
4
2
5
Need some more practise? Try Pg26 & 27 of Teacher Tools Fractions,
Decimals and Percentages Book Numeracy resources
5)