New
New
Year 3

# Connect division with finding a fraction of a quantity to find parts and wholes

I can calculate the value of a part and a whole by connecting division knowledge with finding a fraction of a quantity.

New
New
Year 3

# Connect division with finding a fraction of a quantity to find parts and wholes

I can calculate the value of a part and a whole by connecting division knowledge with finding a fraction of a quantity.

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## Lesson details

### Key learning points

1. The whole can be a set of objects.
2. Calculating the value of a part, is the same as dividing the whole by the number of equal parts.
3. The denominator tells us the number of equal parts in the whole.
4. Drawing a bar model supports us to visualise the problem.
5. Times table and division facts help us to find a fraction of a set of objects.

### Common misconception

Children may struggle to make the connection between division and finding a fraction of a quantity.

Support children to see that the denominator of a unit fraction tells us how many equal parts the whole has been divided into and that that is the same as the divisor.

### Keywords

• Divide - When we divide, we split something into equal parts or groups. We use the ÷ symbol to mean divide.

When calculating, use times table facts that children are confident with to reduce cognitive overload. Use practical examples where possible.
Teacher tip

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
Identify the value of each equal part in this problem. Lucas has 21 marbles and wants to share them between himself and 2 friends. They get 7 marbles each.
2
3
21
Q2.
Match the factors to their product.

12

20

24

Correct Answer:4 x 8 = ,32

32

80

Q3.
Match the division expressions to their quotient.

6

5

7

3

10

Q4.
14 marbles are shared equally between Izzy and her best friend. How many marbles do they get each?
Q5.
Izzy and her four friends each have 10 cherries each. How many cherries do they have in total?
2
14
15
40
Q6.
Alex wants to buy 24 pens. Pens are sold in packs of 6. How many packs does he need to buy?

## Exit quiz

### 6 Questions

Q1.
When we split something into equal parts or groups, we are .
multiplying
subtracting
Q2.
To find one-third of 15, we divide 15 into equal parts.
Q3.
Match the fraction of the quantity to the correct expression.
Correct Answer:one-half of 24 = ,24 ÷ 2

24 ÷ 2

Correct Answer:one-quarter of 24 = ,24 ÷ 4

24 ÷ 4

Correct Answer:one-eighth of 24 = ,24 ÷ 8

24 ÷ 8

Correct Answer:one-fifth of 30 =,30 ÷ 5

30 ÷ 5

Correct Answer:one-tenth of 30 = ,30 ÷ 10

30 ÷ 10

Q4.
Match the fraction of the quantity to the value of the part.
Correct Answer:one-half of 18 = ,9

9

4

3