Transcript Proportional packets

Proportional Packets
I am learning to solve division problems using how many times
one number will go into another.
e.g. 36 ÷ 6 = 6
so
36 ÷ 12 = 3
There are twenty counters below which must be split into 4 groups.
How many counters will there be in each group?
20 ÷ 4 = 5 you may have worked this out using your multiplication facts
e.g. 4 X what = 20. The answer is 5 so there must be 5 in each group.
Think about how many counters you
would have if you only had two groups
(half as many groups).
So if we have half as many groups then we must put
twice as many counters in each group.
20 ÷ 4 = 5
÷ 2 (half as many
groups)
20 ÷ 2 = 10
x 2 (twice as
many in each
group)
Let’s imagine we still have 30 counters to split into 5 groups.
30 ÷ 5 = 6
What will happen if we have twice as many
groups? How many counters will we need to
put in each group?
So if we have twice as many groups
then we only need half as many
counters in each group.
30 ÷ 5 = 6
x 2 (twice as
many in each
group)
÷ 2 (half as many
groups)
30 ÷ 10 = 3
There are 27 counters below which are split into 3 groups.
27 ÷ 3 = 9
What will happen if we have three times as many
groups? How many counters will we need to put in
each group?
So if we have three times as many groups then
we put three times less in each group.
27 ÷ 3 = 9
x 3 (three times
as many groups)
÷ 3 (three times
less in each
group)
27 ÷ 9 = 3
The questions on the left have a buddy question to the right
where, doubling and halving or trebling and thirding has been
used. Which questions do you think go together.
1) 18 ÷ 3 = ?
6
60 ÷ 6 = 10
2) 48 ÷ 4 = ? 12
120 ÷ 10 = 12
3) 120 ÷ 5 = ? 24
18 ÷ 9 = 2
4) 60 ÷ 12 = ? 5
48 ÷ 8 = 6
Click again when you
have worked out
which questions go
together.
Now try these questions on your own.
Click again when you have worked out all your answers.
1) 64 ÷ 4 = ?
64 ÷ 8 = 8
So 64 ÷ 4 = 16
2) 54 ÷ 3 = ?
54 ÷ 6 = 9
So 54 ÷ 3 = 18
3) 45 ÷ 3 = ?
45 ÷ 9 = 5
So 45 ÷ 3 = 15
4) 180 ÷ 5 = ? 180 ÷ 10 = 18
5) 72 ÷ 4 = ?
72 ÷ 8 = 9
So 180 ÷ 5 = 36
So 72 ÷ 4 = 18
Need some more practise? Try Pg35 & 36 of Teacher Tools Multiplication
and Division Book Numeracy resources