New
New
Year 3

# Solve problems involving volume

I can solve problems involving volume.

New
New
Year 3

# Solve problems involving volume

I can solve problems involving volume.

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## Lesson details

### Key learning points

1. Visualising and representing problems as bar models (by identifying the parts and whole) helps us to solve problems..
2. The bar model helps us to understand the structure of the maths and to form a calculation to help solve the problem.
3. If parts are unequal, we can use additive relationships; if parts are equal, we can use multiplicative relationships.
4. Number facts can be used when solving problems involving mass.

### Common misconception

Children may misidentify the parts or wholes in a problem.

Children should be encouraged to visualise the problem to help them identify the parts and whole.

### Keywords

• Bar model - A bar model is a pictorial representation of a problem where bars are used to represent the known and unknown quantities.

• Whole - The whole is all of something. It is complete.

• Part - A part is some but not all of something. It is an amount or section which, when combined with others, makes up the whole.

• Volume - Volume is the amount of space that an object takes up. In this case, the specific amount of liquid in a container. It can be measured in ml.

Ensure that children are encouraged to visualise the maths and be given the opportunity to talk about how they see the problem. Resources should be available for children to use such as a number line.
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.
Look at the picture. Which jug contains a greater volume of water?
B
Q2.
Look at this bar model. What does the 1 L 500 ml represent?
The 1 L 500 ml represents the whole.
Correct answer: The 1 L 500 ml represents a part of the whole.
Q3.
Match the calculations with their answers.

220

210

230

Correct Answer:50 + 260 = ,310

310

Q4.
Find the total of 2 L 300 ml and 1 L 400 ml.
Correct Answer: 3 L 700 ml, 3700 ml, 3L700ml, 3700ml, 3 l 700 ml
Q5.
Match the calculations with their answers.
Correct Answer:90 - 30 = ,60

60

70

80

Correct Answer:120 - 30 = ,90

90

Q6.
What volume of water is in this jug?
300 ml
750 ml

## Exit quiz

### 6 Questions

Q1.
Look at the problem and bar models. Which bar model is an accurate representation of the problem?
A
Q2.
Look at the bar model. Sophia has 230 ml of water in her jug and Jacob has 50 ml water in his cup. What volume of water do they have altogether?
Correct Answer: 280 ml, 280ml, 280
Q3.
10 identical cups have an equal volume of water in them. The total amount of water in the cups is 680 ml. What is the volume of water in each cup?
Correct Answer: 68 ml, 68ml, 68
Q4.
Look at the bar model. The volume of water in the bottle is half the volume of water in the ten cups. What is the volume of water in the bottle?
Correct Answer: 340 ml, 340ml, 340
Q5.
Look at the bar model. How much greater is the volume of water in the bottle (340 ml) when compared to the volume of water in the cup (68 ml)?