New
New
Year 11
Higher

Calculating journeys from linear speed-time graphs

I can deduce that the area under a speed-time graph gives the distance travelled and deduce how this may be calculated.

New
New
Year 11
Higher

Calculating journeys from linear speed-time graphs

I can deduce that the area under a speed-time graph gives the distance travelled and deduce how this may be calculated.

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Lesson details

Key learning points

  1. Distance travelled is calculated by multiplying speed and time.
  2. This is represented on a speed-time graph by the area bound by the graph and the x axis.
  3. Calculating this area gives the total distance travelled.

Keywords

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

Common misconception

Calculating area by counting squares rather than looking at the scales.

Remind pupils that often on speed-time graphs the scales on the axes will be different. Check the scales before calculating distance. Check the final answer is realistic in context.

In lesson 5 pupils sketch distance-time from speed-time graphs. Now they can find the distance travelled at any given time they could revisit drawing distance-time graphs from linear speed-time graphs.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
Speed = __________
speed $$\times$$ time
time $$\times$$ distance
speed $$\div$$ time
Correct answer: distance $$\div$$ time
time $$\div$$ distance
Q2.
Speed is the rate at which something is moving. It is measured as the distance travelled per unit of __________.
speed
Correct answer: time
miles
hours
mph
Q3.
Which of these graphs shows a constant speed?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q4.
The area of the shaded shape is square units.
An image in a quiz
Correct Answer: 18
Q5.
The area of the shaded shape is square units.
An image in a quiz
Correct Answer: 30, A=30
Q6.
The area of the shaded shape is square units.
An image in a quiz
Correct Answer: 28

6 Questions

Q1.
On a speed-time graph the __________ bound by the graph and horizontal axis tells us the distance travelled.
length
distance
Correct answer: area
speed
volume
Q2.
Which calculation would find how far is travelled between $$0$$ and $$4$$ seconds?
An image in a quiz
$$4\times12=48$$ metres
$$6\times18=108$$ metres
Correct answer: $${1\over2}\times4\times12=24$$ metres
$${1\over2}\times6\times18=54$$ metres
$$12$$ metres
Q3.
Calculate how far the particle travelled between $$4$$ and $$6$$ seconds.
An image in a quiz
Correct Answer: 30 metres, 30
Q4.
How far has the particle modelled in this graph travelled after $$6$$ seconds? metres.
An image in a quiz
Correct Answer: 90
Q5.
How far has the particle modelled in this graph travelled between $$0$$ and $$3$$ seconds?
An image in a quiz
Half the whole area under the graph up to $$6$$ seconds.
$${{1\over2}(10+16)\times{3}}$$ metres
Correct answer: $$(2\times14)+\left({{1\over2}(14+16)\times{1}}\right)$$ metres
$$(2\times14)+\left({{1\over2}(14+16)\times{3}}\right)$$ metres
$$(3\times14)+\left(\frac{1}{2}\right)$$ metres
Q6.
How far has the particle modelled in this graph travelled after $$6$$ seconds? metres.
An image in a quiz
Correct Answer: 100