A compound shape is a shape created using two or more basic shapes.

Calculating journeys from linear speed-time graphs

Maths

The work on gradient in the prior unit is expanded further in this unit by considering gradient as the rate of change and interpreting this in context. The gradient of the tangent is introduced as a way of estimating the gradient of a curve.

In this unit pupils expand upon knowledge developed in the linear graphs unit. Pupils are introduced to rates of change and the gradient of the tangent as a way of estimating the gradient of a curve.

Real-life graphs

On a speed-time graph the __________ bound by the graph and horizontal axis tells us the distance travelled.

Which calculation would find how far is travelled between $$0$$ and $$4$$ seconds?

Calculate how far the particle travelled between $$4$$ and $$6$$ seconds.

How far has the particle modelled in this graph travelled after $$6$$ seconds? {{}} metres.

Half the whole area under the graph up to $$6$$ seconds.

$$(2\times14)+\left({{1\over2}(14+16)\times{1}}\right)$$ metres

$$(2\times14)+\left({{1\over2}(14+16)\times{3}}\right)$$ metres

$$(3\times14)+\left(\frac{1}{2}\right)$$ metres

How far has the particle modelled in this graph travelled between $$0$$ and $$3$$ seconds?

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

Which of these graphs shows a constant speed?

The area of the shaded shape is {{}} square units.

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