Starter quiz
What number is the arrow pointing to on this number line?- '125' ✓
What number is the arrow pointing to on this number line?- '136' ✓
The coordinates of the point shown on the axes are (2, ______).- '220' ✓
The coordinates of the point shown on the axes are (______, 100).- '4.8' ✓
- Which graph shows a journey where speed is constant throughout?
- How do we represent an object stopping for part of a journey on a distance-time graph?
- A diagonal line with positive gradient
- A diagonal line with negative gradient
- A curve
- A horizontal line ✓
- A vertical line
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Exit quiz
Izzy travelled 12 km in half an hour. Then stopped for 15 minutes. Then travelled another 8 km in 25 minutes. If using these axes what would be the best scale for time?- Steps of 2 minutes
- Steps of 5 minutes
- Steps of 10 minutes ✓
- Steps of 20 minutes
- Steps of 30 minutes
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- Izzy travelled 12 km in half an hour. Then stopped for 15 minutes. Then travelled another 8 km in 25 minutes. What would be the problem with using steps of 2 km on these axes?
- The journey would not fit on the graph. ✓
- The graph would be really small and not make use of the space.
- The coordinates would be between gridlines and difficult to plot.
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- Izzy travelled 12 km in half an hour. Then stopped for 15 minutes. Then travelled another 8 km in 25 minutes. What might be the difficulty with using steps of 5 km on these axes?
- The journey would not fit on the graph.
- The graph would be really small and not make use of the space.
- The coordinates would be between gridlines and difficult to plot. ✓
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- When might you use a displacement-time graph instead of a distance-time graph?
- When all the travel is in the same direction.
- When you want to know how long the journey has taken in total.
- When you want to know how far the journey was in total.
- When you want to know when the object has changed direction. ✓
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On this displacement-time graph what does the line segment marked a) represent?- Object is stationary.
- Moving away from a fixed start point at a constant speed.
- Moving back towards a fixed start point at a constant speed. ✓
- Object's speed is increasing.
- Object's speed is decreasing.
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On this displacement-time graph what does the line segment marked b) represent?- Moving away from a fixed start point in the opposite direction.
- Moving towards a fixed start point from the opposite direction. ✓
- Travelling upwards from a position below ground.
- An impossible journey as distance cannot be negative.
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- You can sketch a graph based on the information you have been given.
- Important given values should be marked on your sketch.
- On a distance-time graph, a horizontal line means no distance was travelled for that time.
- A slanted line means that the distance from the start is changing over time.
Common misconception
Leaving out key information when sketching graphs.
Although sketches do not need to be to scale they do need to contain all key information. Getting pupils to write these on as coordinate pairs is the clearest way. Sketches still have to be useful for the purpose of a model.
Keywords
Displacement - Displacement is the distance from the starting point when measured in a straight line.
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