Linear graphs

This sub-collection of resources from the ‘Graphing Stories’ collection contains situations that give rise to linear graphs. Some of the graphs contain proportional relationships, whist others show just linear relationships.

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Elevation

A person is shown rolling down a hill, pausing, and then running back up the hill. The task is to draw a graph of their elevation against time. The graph contains increasing, decreasing, and constant sections.

Elevation video

Distance from the home plate

A player is shown on a baseball pitch. They run around the bases before returning to the home plate. The speed varies between the different bases. The task is to draw a graph of the player’s distance from the home plate against time. The graph shows linear piecewise sections.

Distance from the home...

Water volume

A measuring cylinder is shown with divisions marked in millilitres. Water is poured at a constant rate into the cylinder. The challenge is to graph the volume of water against time. The resulting graph is linear.

 

Water volume video

Balloon length

A balloon is being blown up by a person. Between blows, the person pauses. As time progresses the person takes longer pauses and shallower blows. At the end, the air is released from the balloon. The challenge is to graph the length of the balloon against time.

Balloon length video

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