Metric units are based around the standard units of metre, gram and litre.

Imperial is a system of units for measuring, which was created in the early 1800s during the British Empire.

Speed is the rate at which something is moving.  It is measured as the distance travelled per unit of time.

Two variables are in direct proportion if they have a constant multiplicative relationship.

Converting between metric and imperial speed measures

Maths

Checking and further securing understanding of direct proportion in context

Compound measures for speed

Compound measures for density

Compound measures for pressure

Converting between metric speed measures

Converting between other compound measures

Combining speeds

Combining densities

Advanced problem solving with compound measures

In this unit, pupils will be exploring the multiplicative relationship between different compound measures. Ratio will be one of the ways in which this is explored and the skills from the prior unit will aid understanding. There are also links to the volume units as volume is required for the density formula.

In this unit, pupils explore the multiplicative relationship between different compound meaures and units such as speed, rates of pay, density and pressure.

Compound measures

Which of the following is an imperial measure of speed?

Which of the following are metric units of measure?

A kilo of Pedro panda’s bamboo when measured in pounds is 2.2.  Use this to convert 33 pounds into kilograms.

Which of the following are metric measures of speed?

A car is travelling at an average speed of 90 km/h.  How many kilometres will be travelled in 1 minute?

A car travels 1.5 km in 1 minute.  How far will it travel in 1 second?

Calculate the speed in km/h for the last part of the journey shown by this graph.

A lion's top speed is 22 m/s.  Convert this speed into km/h.

Converting between metric and imperial speed measures

Lesson outcome