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      Reading distance-time graphs

      Lesson details

      Learning outcome

      I can read values of distance and time from graphs and use them to calculate speed.

      Key learning points

      1. The labels on a graph describe what it shows.
      2. The numbers on the scale of a graph go up in equal amounts.
      3. The value of each small division is the value of a large division divided by the number of small divisions it contains.
      4. Each point on a distance-time graph describes where an object is at a point in time (not its speed).
      5. The speed of an object can be found from distance and time information read from a distance-time graph.

      Keywords

      • Distance-time graph - A distance-time graph is used to show how far an object has travelled over a period of time.

      • Axis - The horizontal axis on a distance-time graph shows the time and the vertical axis shows the distance.

      • Scale - Each axis has a scale which shows the variable name and the minimum and maximum values.

      • Division - Scales are marked with divisions so that values can be read from the distance-time graph.

      • Average speed - The overall distance travelled divided by overall time for a journey.

      Common misconception

      Pupils often interpret distance-time graphs (intuitively) as pictures.

      Guide pupils step by step through interpreting d-t graphs and link each line with a motion (repeatedly).

      Teacher tip

      Students find interpreting d-t graphs difficult so model movement, towards and away from a point, as much as possible. "Live" graph distance sensors are very useful and can show different gradients for different speeds.

      Content guidance

      Risk assessment required - equipment

      Supervision

      Adult supervision required

      Licence

      This content is © Oak National Academy Limited (2026), 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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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Match the symbol for the unit with the property it is used to measure.

      Correct Answer:km,distance

      distance

      Correct Answer:s,time

      time

      Correct Answer:kg,mass

      mass

      Correct Answer:km/h,speed

      speed

      Correct Answer:N,force

      force

      Q2.
      Which two pieces of equipment could be used to find the speed of a trolley rolling down a ramp?

      balance
      Correct answer: stopwatch
      thermometer
      newton meter
      Correct answer: tape measure

      Q3.
      Calculate the distance a bicycle travelling at 6.0 m/s will travel in 30 s.

      5 m
      24 m
      36 m
      Correct answer: 180 m
      1800 m

      Q4.
      A runner completes an 800 m race with an average speed of 6.4 m/s. How long did it take to finish the race?

      6.4 s
      Correct answer: 125 s
      793.6 s
      806.4 s
      5120 s

      Q5.
      A trolley is rolled a distance of 3.0 m, taking 6.0 s to cover the distance. What is the average speed of the trolley?

      Correct answer: 0.5 m/s
      2.0 m/s
      3.0 m/s
      6.0 m/s
      9.0 m/s

      Q6.
      Starting with the fastest, put the values in order of average speed.

      1 - A motorcycle that travels 255 m in 15 s
      2 - A lorry that travels 500 m in 40 s
      3 - A car that travels 200 m in 20 s
      4 - A scooter that travels 30 m in 5 s

      6 Questions

      Q1.
      Match the keyword to the description.

      An image in a quiz
      Correct Answer:distance-time graph,Shows the distance something has moved at each moment.

      Shows the distance something has moved at each moment.

      Correct Answer:axis,Horizontal or vertical line showing the variable names.

      Horizontal or vertical line showing the variable names.

      Correct Answer:scale,Numbers on an axis showing the minimum and maximum values.

      Numbers on an axis showing the minimum and maximum values.

      Correct Answer:division,Lines on an axis to allow values to be read from a graph.

      Lines on an axis to allow values to be read from a graph.

      Correct Answer:average speed,Distance moved by an object, divided by the time taken.

      Distance moved by an object, divided by the time taken.

      Q2.
      What distance has this object travelled after 3 s? Don’t forget to provide the unit in your answer.

      An image in a quiz
      Correct Answer: 4 m, 4.0 m, 4.0 metres, 4 metres, four metres

      Q3.
      Which feature of this graph shows that the object is travelling at a constant speed?

      An image in a quiz
      The scale is even.
      The axes are labelled correctly.
      The divisions are the same size on both axes.
      Correct answer: The line joining the points is straight.
      The maximum distance was 5 m.

      Q4.
      How long does it take for this object to travel 5 m? Give your answer to one decimal place. Don’t forget to provide the unit in your answer.

      An image in a quiz
      Correct Answer: 3.6 s, 3.6 seconds, 3.6 second, 3.6s, 3.6seconds

      Q5.
      Use the graph to find the average speed of this object.

      An image in a quiz
      5 m/s
      4 m/s
      3 m/s
      2 m/s
      Correct answer: 0.8 m/s

      Q6.
      What distance does this object travel between 1 s and 4 s? Don’t forget to provide the unit in your answer.

      An image in a quiz
      0.8 m
      1.6 m
      Correct answer: 2.4 m
      3.0 m
      3.2 m

      To help you plan your 8 science lesson on: Reading distance-time graphs, download all teaching resources for free and adapt to suit your pupils' needs...