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

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.

Compare and describe measurements involving mass and capacity

Maths

Compare and describe lengths using knowledge of multiplication

Solve comparison and change problems using multiplication

Compare and describe lengths using knowledge of division

Solve comparison and change problems using division

Solve problems involving comparison and change

Compare and describe measurements involving time and money

Describe changes in measurement using knowledge of multiplication and division

Use knowledge of multiplication and division to solve comparison and change problems

Solve comparison and change problems in a range of contexts

In this unit pupils will learn to compare and describe measurements using multiplication and division. In the future unit pupils will apply memorised unit conversions to convert between units of measure with larger to smaller units and smaller to larger units and solve problems involving converting between units of time and money. 

 In the prior unit pupils used their knowledge of decimal place value to convert between and compare metres and centimetres and explained that different lengths can be composed additively and multiplicatively. In this unit pupils will learn to compare and describe measurements using multiplication and division.

In this unit pupils will learn to compare and describe measurements using multiplication and division, applying their understanding of scaling as a structure of multiplication.

Compare and describe measurements using knowledge of multiplication and division

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?

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?

The mass of the cub is three times 120 kg.

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.

The mass of the mother bear is 120 kg. Which statement describes the mass of the cub?

The capacity of a cup is one fifth times the capacity of of a jug. Which bar model represents this statement?

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.

One penguin has the same mass as one cube.

Two penguins have the same mass as four cubes.

One penguin has the same mass as two cubes.

One cube has the same mass as one half of a penguin.

Izzy runs 400 m in 2 minutes. Jacob walks one quarter times the distance in the same time. How far does Jacob walk?

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.

Which expression is equal to 150 x $${1}\over{3}$$?

Which two equations represent the length of the blue bar in this bar model?

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.

Compare and describe measurements involving mass and capacity

Lesson outcome