When a comparison is made, we are determining how different two objects are. In this case, how many times longer, taller or deeper an object is than another.

A comparison can also be made between an object before, and then after, a change. Examples of a change include a change in height of a flower due to growth.

A unit fraction is a fraction where the numerator is one.

Solve problems involving comparison and change

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

Compare and describe measurements involving mass and capacity

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

Jacob runs 300 m in 1 minute. Izzy walks one third times the distance. How far does Izzy walk?

Jacob runs 300 m in 1 minute. Izzy walks one third times the distance. How much further does Jacob run than Izzy walks?

True because dividing by 4 is the same as multiplying by one quarter.

False because when you multiply, the product is always larger.

True or false? 160 x $${1}\over{4}$$ = 160 ÷ 4

Which two equations can you write from this bar model to calculate the length of the blue bar?

The bus ride to school is 7 km. The bus broke down one half times the distance from school. The bus still had {{ }} km left to travel.

Match a multiplication expression to a division equivalent.

A pencil was 20 cm long. It is now one quarter of its original length. Which expression represents its new length?

The blue bar is 6 times the length of the white bar.

The blue bar is one sixth times the length of the white bar.

The white bar is 6 times the length of the blue bar.

Compare the heights of the tree and the car. The tree is {{ }} times the height of the car.

A pencil was 20 cm long. It is now $${1}\over{4}$$ of its original length. How long is the pencil now?

The white bar is 360 cm long. How long is the blue bar? The blue bar is {{ }} cm long.

Match the possible heights of the tree to the heights of the car. The car is one fifth times the height of the tree.

Starter Quiz

A pencil was 20 cm long. It is now one quarter of its original length. Which expression represents its new length?