Key Vocabulary
share
share equally
one each, two each, three each…
group in pairs, threes… tens
equal groups of
divide
divided by
divided into
left, left over
division
remainder
factor
quotient
divisible by
inverse
Division
Level 1
Practical division - sharing
12 sweets are divided / shared into 3 bags.
How many sweets are there in each bag?
Level 2
Recording of practical division using the
symbols ÷ and =
For above example …
12 ÷ 3 = 4
Understanding division as sharing and
grouping
Sharing
10 ÷ 2 = 5
How many groups of 2 can 10 be divided into?
Draw a picture to show this.
Grouping
Progress to showing this on a number line.
10 ÷ 2 = 5
Jump on in steps of two on a number line until
10 is reached.
How many jumps?
0
Level 3
Division
Level 4
2
4
6
8
Level 5
10
Number line (repeated addition)
Chunking on a number line
15 ÷ 3 = 5
36 ÷ 3 = 12
196 ÷ 6 = 32 r 4/6
10 x 3
0
3
6
9
12
Chunking (expressing the remainder as
a fraction or decimal fraction)
1x3
1x3 =
12
15
136
Number line (repeated addition with remainders)
26 ÷ 5 = 5 r 1
5
10
15
20
25
30
33
36
16
Chunking on a number line (with
remainders)
+1
0
0
26
10 x 3
0
1x3
30
Chunking
97 ÷ 9 = 10 r 7
9 ) 97
- 90
7
(10 x 9)
33
- 60(10 x 6)
76
- 60(10 x 6)
- 12(2 x 6)
4
38 ÷ 3 = 12 r 2
= 5 remainder 1 to be written as 5 r 1.
6 ) 196
- 60(10 x 6)
1 x 3 = 12
+2
36
38