Times the length/height/depth is a phrase that is used to compare and describe lengths or heights. For example, one tree might be three times the height of another tree; it is three times as tall.

Twice means ‘two times as many’. For example, ‘He asked her twice’ means she was asked two times. In maths, we can say twice four is eight because two times four is eight.

Compare and describe lengths using knowledge of multiplication

Maths

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 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

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 at the start of, and then after, a change. Examples of change include a change in height of a flower due to growth.

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

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.

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.

Times the time/times as long/times the amount of money are phrases that can be used to compare and describe - one child might run a race in three times the time of another child.

A comparison can be made between an object at the start of, and then after, a change. Examples of change include a change in mass of an animal due to growth.

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

A multiplicative relationship is a comparison between numbers that relates to multiplication (and hence division). In a multiplicative relationship, the parts are equal.

Times the __________ is a phrase that is used to compare measures multiplicatively. For example, one tree might be 'three times the height' of another tree - it is three times as tall.

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Compare and describe measurements using knowledge of multiplication and division

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