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Gradient of a Line

Gradient of a Line

Practise the skill of finding the gradients of straight lines by counting squares and dividing rise by run. So far this activity has been accessed 13258 times and 6731 Transum Trophies have been awarded for completing it.

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A video for a teacher to use in a Mathematics lesson showing how a distance-time graph can be constructed from a series of photographs.

The 'photographs' of the situation which are displayed side by side promote a good understanding of the concept of a distance-time graph. They make it clear that the passage of time is shown on the horizontal axis and the distance travelled on the vertical axis.

Further class discussion might illuminate the fact that the steepness or gradient of the line graph is related to the speed of the vehicle. A positive gradient indicates a velocity away from the reference point while a negative gradient represents a velocity in the opposite direction. A gradient of zero represents the vehicle coming to rest.

In the real world a more accurate graph of the situation would be a smooth curve rather than a number of straight lines.

After viewing the video above have a look at some other distance-time graphs for students to interpret. You could also try answering some questions in the Travel Graphs online exercise.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

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