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.



A clock with a seconds hand is shown as it advances for 15 seconds. The challenge is to ‘graph the story’. This video emphasises the importance of scales. In this introductory video the answer is then displayed showing a linear relationship.

Time video

Height of waist off ground 1

A person is shown climbing to the top of a playground slide. They pause at the top and then slide down the slide.  The end of the slide has an upwards turn for safety. The task is to graph the height of the person’s waist off the ground against time.

Height of waist off ground 1 video


Bum height off ground

The video shows a slide at a fairground that starts from a height of 35 metres. The person using the slide pauses at the top of the slide. There are various bumps in the slide along the descent. The challenge is to graph the height of the person's bum off the ground against time.

Bum height off...

Air pressure

The video shows air being pumped into an American football using a hand pump. The person using the pump pauses part way through to press the ball in order to check the pressure. They then continue until a final check is made and the ball is seen to be at the correct pressure. The challenge is to graph air pressure...


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