A rate is a relationship between two units. For example miles per hour (mph) is a rate called speed which relates distance and time.

An exchange rate is the rate at which one currency is exchanged for another. The two currencies are in proportion because they have a constant multiplicative relationship.

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

Checking and further securing understanding of direct proportion in context

Maths

Compound measures for speed

Compound measures for density

Compound measures for pressure

Converting between metric speed measures

Converting between metric and imperial speed measures

Combining speeds

Combining densities

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

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

Pace is the rate of movement. It is measured as the time taken per unit of distance.

The density of a substance is measured as the substance's mass per unit of volume.

The mass of a substance is a measure of the quantity of matter in the substance.

Pressure is the perpendicular force applied to the surface of an object per unit area over which that force is distributed.

A force is a push or a pull on an object. A force is an influence that can cause an object to change its speed.

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.

Rate of flow measures the volume of fluid that passes through a particular pipe/channel per unit of time.

Compound measures

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These lessons were made for home learning during the pandemic.