New
New
Year 5

Compare and describe measurements involving mass and capacity

I can compare and describe measurements involving mass and capacity.

New
New
Year 5

Compare and describe measurements involving mass and capacity

I can compare and describe measurements involving mass and capacity.

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Lesson details

Key learning points

  1. A change in mass or capacity can be described multiplicatively.
  2. The sentence 'The __________ is ___ times the mass/capacity/volume of the __________' supports understanding.
  3. Comparisons of measure can be represented as multiplication equations.
  4. Division can be represented as multiplication by a unit fraction

Common misconception

Children may say 'ten times heavier' which is imprecise. Children are more familiar with multiplication resulting in an increase and need to appreciate that it can also result in a decrease.

We say, 'ten times the original mass' because this is more precise, especially when the scale factor is fractional. When we multiply by a unit fraction, it is the same as dividing the whole by the number of equal parts in it, resulting in a decrease.

Keywords

  • Times the mass/capacity/volume - Times the mass/capacity/volume is a phrase that is used to compare and describe. For example, one bear might be three times the mass of another bear - it is three times as heavy.

  • Mass - Mass is a measure of how much matter something contains. It is commonly measured by how much something weighs. Mass can be measured in kilograms and grams.

  • Capacity - Capacity is a measure of the maximum amount of liquid a container can hold when full. Capacity can be measured in millilitres and litres.

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

It is important that children are fluent with their times table facts. Note, we cannot compare temperature because 0° does not mean there is ‘no temperature’.
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).

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6 Questions

Q1.
Izzy runs 400 m in 2 minutes. Jacob walks one quarter times the distance in the same time. How far does Jacob walk?
Correct answer: 100 m
200 m
300 m
400 m
Q2.
Izzy runs 400 m in 2 minutes. Jacob walks one quarter times the distance in the same time. How much further does Izzy run than Jacob walks? Izzy runs m further than Jacob.
Correct Answer: 300, 300 m, three hundred
Q3.
Which expression is equal to 150 x $${1}\over{3}$$?
150 x 3
150 − 3
Correct answer: 150 ÷ 3
Q4.
Which two equations represent the length of the blue bar in this bar model?
An image in a quiz
350 x 5
Correct answer: 350 x $${1}\over{5}$$
Correct answer: 350 ÷ 5
350 ÷ $${1}\over{5}$$
Q5.
It is 6 km from home to school. One third of the way to school there is a big tree. How far away is the tree from home? The tree is km away from home.
An image in a quiz
Correct Answer: 2, 2 km, two
Q6.
Match the equivalent expressions.
Correct Answer:120 x $${1}\over{4}$$,120 ÷ 4

120 ÷ 4

Correct Answer:120 x $${1}\over{3}$$,120 ÷ 3

120 ÷ 3

Correct Answer:150 x $${1}\over{3}$$,150 ÷ 3

150 ÷ 3

Correct Answer:120 x $${1}\over{6}$$,120 ÷ 6

120 ÷ 6

6 Questions

Q1.
The mass of a bear cub is 30 kg. The mass of the mother bear is three times the mass of the cub. Which bar model represents this?
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q2.
Look at the bar model. Which equation can be formed from the bar model to calculate the mass of the mother bear if the cub has a mass of 30 kg?
An image in a quiz
30 kg ÷ 3
3 kg x 30
Correct answer: 30 kg x 3
Q3.
The mass of the mother bear is 120 kg. Which statement describes the mass of the cub?
An image in a quiz
The mass of the cub is three times 120 kg.
Correct answer: The mass of the cub is one third times 120 kg.
The mass of the cub is 120 kg subtract 3 kg.
The mass of the cub is one quarter times 120 kg.
Q4.
The capacity of a cup is one fifth times the capacity of of a jug. Which bar model represents this statement?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q5.
The capacity of a cup is one fifth times the capacity of of a jug. The capacity of the jug is 1 l 500 ml. The capacity of the cup is ml.
Correct Answer: 300, three hundred
Q6.
Which statements describe this image?
An image in a quiz
One penguin has the same mass as one cube.
Correct answer: Two penguins have the same mass as four cubes.
Correct answer: One penguin has the same mass as two cubes.
Correct answer: One cube has the same mass as one half of a penguin.