Bar modelling examples
Yr2
Addition
In a field there are 12 sheep and 14 lambs. How many animals are there
altogether?
1. Concrete – use plastic animals/ multilink
2. Draw
12
14
?
12+14 = 26
There are _26_ animals altogether.
Addition
Hassan has 8 football cards. His friend gives him 6 cards. His sister buys him 4
more cards. How many cards are there altogether?
1. Concrete – use cards / build using multilink
2. Build using Cuisenaire / Draw
8
6
?
Hassan has _18_ cards altogether.
4
8 + 6 + 4 = 18
Subtraction
Yr2
Kyle has 13 fewer cotton reels than Lauren. Lauren has 48 cotton reels. How
many reels does Kyle have?
1. Build using Cuisenaire
10
10
10
10
8
10
10
10
10
3
5
2. Draw
48
13
48 – 13 = 35
?
Kyle has _35_ cotton reels.
Subtraction
Lex has 3 cars and Yan has 5 cars. How many more cars does Yan have?
Draw
?
3
5
5– 3 =
Yan has _2_ more cars than Lex.
2
Addition/Subtraction
Yr2
+ 45 = 85
1. Use Numicon / place value counters / Dienes / Cuisenaire
2. Draw
85
45
?
85 - 45 =
40
+ 45 = 85
40
Addition/Subtraction
There are 24 pieces of fruit in a bowl. 8 of them are apples, the rest of them are
bananas. How many bananas are there?
1. Build using Cuisenaire
10
8
10
4
10
6
2. Draw
24
8
?
8 + 16 = 24
24 – 8 =
There are _16_ bananas.
16
Addition/Subtraction – muti-step
Yr 2
35 people are on the Number 6 bus. When arrives at the bus stop, 12 people get
off and 8 get on. How many people are now on the bus?
1. Use Numicon / place value counters / Dienes / Cuisenaire
2. Draw
Step 1:
35
12
?
35 - 12 =
23
23 + 8 =
31
Step 2:
23
8
?
_31_ people are now on the bus.
Addition/Subtraction – muti-step
Yr2
There are 27 children in the hall. Another 34 join them. After 10 minutes
13 leave. How many are now in the hall?
1. Use Numicon / place value counters / Dienes / Cuisenaire
2. Draw
Step 1:
27
34
?
27 + 34 =
61
61 - 13 =
48
Step 2:
61
13
?
There are _48_ children left in the hall.
Addition/Subtraction – money
Yr2
Carly bought an apple for 17p and a banana for 26p.
a) How much has she spent?
b) How much change did she get from 50p?
1. Use money
2. Draw
a)
26p
17p
?
26p + 17p =
43p
50p - 43p =
7p
b)
50p
43p
?
Greater Depth:
50p
26p
17p
?
a) Carly has spent _43p_
b) She will get 7p_ change.
Addition/Subtraction – measure
Yr2
I have a piece of red ribbon 20cm long and a piece of blue ribbon 25cm
long.
a) How long are the two pieces altogether?
b) what is the difference in length between the 2 pieces?
1. Use ribbon / rulers / paper strips / Cuisenaire
2. Draw
a)
20cm
25cm
20cm + 25cm =
?
45cm
There is _45cm_ of ribbon altogether.
b)
25cm
20cm
?
The difference between the two pieces is 5cm_.
25cm - 20cm = 5cm
m
Multiplication
Yr2
There are 3 bags with 2 apples in each bag. How many apples altogether?
1. Use post-its / mini plastic fruit / unifix
2. Draw
2
2
2
?
2 x 3 =
6
3 x 2 =
6
There are _6_ apples altogether.
Multiplication
There are 4 cakes each with 3 candles on top. How many candles are there
altogether?
1. Use post-its / draw cakes + add candles
2. Draw
3
3
3
?
There are _12_ candles altogether.
3
4 x 3 =
12
3 x 4 =
12
Multiplication
Yr2
Anita has 5 books. Beritan has 4 times as many books than Anita. How many
books does Beratin have?
1. Use children and books / unifix / tally
2. Draw
1 x 5
?
5
5
5
5
4 x 5
Beratin has _20_ books.
5
5 x 4 =
20
4 x 5 =
20
Multiplication
Yr2
a) A sunflower seed grows 2cm every day. How high would it be after 12 days?
1. Use Cuisenaire / ruler
2. Draw
2
2
2
2
2
2
2
2
2
2
2
?
2
12 x 2 =
24cm
2 x 12 =
24cm
m
It would be _24cm_ high after 12 days.
b) If the sunflower was 8cm high on Thursday, how tall would it be on Monday?
1. Use Cuisenaire / ruler
2. Draw
Thurs
8cm
Fri Sat Sun Mon
2cm 2cm 2cm 2cm
?
8 + 2 + 2 + 2 + 2 =
or Greater depth:
8 + (2 x 4) =
16cm
8 + (2 x 4) =
16cm
The sunflower would be 16cm high on Monday.
16cm
Division
Yr2
Tina has 15 strawberries. She gives an equal number of strawberries to her 3
friends. How many strawberries did each friend get?
1. Use post-its / dienes / plastic fruit - share 15 strawberries between 3
2. Draw
?
?
15
?
15 ÷ 3 =
5
Each friend gets _5_ strawberries.
Division
There are 6 apples. They are divided into two equal groups. How many apples
in each group?
1. Use post-its / dienes / plastic fruit
2. Draw
?
6
There are _3_ apples in each group.
6 ÷ 2 =
3
Division
Yr2
Talia has 50 hairbands. She gives each of her friends 10 hairbands.
How many friends does Talia have?
1. Use Dienes / multilink – group into 10s
2. Draw
10
10
10
10
10
50 ÷ 10 =
50 ÷
50
5
5
= 10
Talia has _5_ friends.
Division / fractions
Ali has 16 Haribo sweets. He eats ¼ of them. How many did he eat?
1. Use post-it notes / Dienes / multilink – divide by 4
2. Draw
llll
llll
llll
llll
?
?
?
?
16 ÷ 4 =
16
Ali eats _4_ sweets.
16 ÷
4
4
= 4
Yr2
Fractions
What is 1/3 of 15?
1. Use post-it notes / Dienes / multilink – divide by 3
2. Draw
5
5
15
1/3 of 15 is _5_.
5
15 ÷ 3 =
5
1/3 of 15 =
5
Yr 3
Jade has money in two purses. She has 26p in one and 62p in another. How
much has she altogether? (Abacus 1 p65)
26p
62p
?
Jade has _88p_ altogether.
26p + 62p =
88p
Yr3
A sunflower was 38cm tall. It now measures 76cm. How much has it
grown? (Abacus1 pg80)
?
38m
76cm
76cm - 38cm = 38cm
76cm + 38cm = 38cm
m
(Use Cuisenaire)
?
2
10
10
10
8
76cm
The sunflower has grown by 38cm_.
10
10
10
6
Yr 3
There are 5 more boys than girls on a trip. There are 29 altogether. How many
boys and girls are there?
girls
29
5
boys
There are _12_ girls
and 12 + 5 = _17_boys
29 - 5 =
24
24 ÷ 2 =
12
Yr 4
Sophie had 1750 stickers. Harry had 480 fewer stickers than Sophie. Sophie gave
some stickers to Harry. In the end, Harry had 3 times as many stickers than
Sophie.
a) How many stickers did Harry have to begin with?
b) How many stickers did Sophie have in the end?
1750
a)
Sophie
Harry
?
480
1750 – 480 = 1270
Harry had _1270_ stickers to begin with.
b) (First find the total number of stickers Sophie and Harry had to begin with)
1750 + 1270 = 3020
How many stickers did Sophie have in the end?
Sophie
3020
Harry
Sophie had _755_ stickers in the end.
3020 ÷ 4 = 755
Year 6 bar modelling examples
Yr 6
Sanjay bought two tickets, one for him and one for his dad. His dad’s ticket was
twice the price of his. He spent £39 in total. How much were the tickets?
Dad
Sanjay
?
39
Sanjay = 39 ÷ 3 =
13
Dad = 2 X 13 =
26
Sanjay
13
13
13
Dad
Sanjay’s ticket was _£13_ and Dad’s ticket was _£26_.
Yr 6
Sam won £800. He chose to give 40% of the amount to charity and ¼ of the
amount to his son. How much was he left with and what percentage of the
amount was that?
10%
80
10%
80
10%
80
£800
10%
10%
80
80
10%
80
40%
10%
10%
40 40
80
25%
10%
80
10%
80
35%
35% = 80 + 80 + 80 + 40 = 280
40%
40%
100%
1/4
25%
? a)
? b)
a) 40% + 25% = 65%
40%
1/4 =
b) 100% - 65% =
£800
25%
?
Sam was he left with __£280__.
This was __35%__ of the amount.
35% of £800 = 35
x8
£280
25%
35%
Yr 6
Theo has 2/3 of a box of chocolates left. He and his two sisters share the
chocolates equally. What fraction of the whole box does each of them have? If
the box had 54 chocolates, how many chocolates does each person eat?
54
18
18
18
?
2/3 ÷ 3 =
2/9
54 ÷ 3 =
18
2/3 x 54 =
36
54
18
18
18
36
1/3 x 36 =
Each of them has __2/9__ If the box.
Each person eats _12__ chocolates.
12