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

Calculating journeys from linear speed-time graphs

Maths

Checking and securing understanding of reading from context-based graphs

Checking and securing understanding of drawing distance-time graphs

Distance-time graphs

Speed-time graphs

Non-linear distance-time graphs

Interpreting and drawing real-life graphs

Interpreting and drawing more real-life graphs

Calculating the rate of change

Estimating the gradient of a curve

Improving the estimate of the gradient of a curve

Finding the equation of a radius of a circle

Finding the equation of the tangent to a circle

Estimating journeys from non-linear graphs

Efficiently estimating journeys from non-linear graphs

Advanced problem solving with real-life graphs

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.

Calculating journeys from linear speed-time graphs

Lesson outcome