When students find an area they are used to communicating the answer in units$$^2$$. The area under a speed-time graph tells us the distance travelled though.

On the graph the base is time and the height is speed which is distance over time. Distance over time, multiplied by time, leaves just distance.

Keywords

Estimate - A quick estimate for a calculation is obtained from using approximate values, often rounded to 1 significant figure.

Consider using a starter whereby students work out the area of composite shapes, considering how best to break those shapes down to be as efficient as possible. This will set up them up nicely for the skills needed in this lesson.

Teacher tip

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Starter quiz

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6 Questions

Q1.

An ________ is an estimate for a calculation which is greater than the exact answer.

underestimate

Correct answer: overestimate

miscalculation

approximation

Q2.

How far has the particle modelled in this graph travelled after $$5$$ seconds?

$$5$$ metres

$$16$$ metres

$$5\times16=80$$ metres

Correct answer: $${1\over2}\times5\times16=40$$ metres

$${1\over2}\times5\times20=50$$ metres

Q3.

Which of the below is the formula for the area of a trapezium?

$$A=b\times{h}$$

$$A={1\over2}\times{b}\times{h}$$

$$A={1\over2}\times({a}\times{b})\times{h}$$

Correct answer: $$A={1\over2}\times({a}+{b})\times{h}$$

$$A={1\over2}\times({b}+{h})\times{h}$$

Q4.

How far has the particle modelled in this graph travelled after $$5$$ seconds? metres.

Correct Answer: 70

Q5.

How far has the particle modelled in this graph travelled after $$5$$ seconds? metres.

Correct Answer: 55

Q6.

How far has the particle modelled in this graph travelled after $$5$$ seconds? metres.

Correct Answer: 63

Exit quiz

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6 Questions

Q1.

The curve models the movement of a particle. If we had scales on the axes and could find the area of the triangle it would give us __________ for the distance travelled.