This resource is from Underground Mathematics.
Here are descriptions of eight real-world processes. For each, try to sketch a suitable graph. If you are not familiar with the background science, then try to use what you do know to reason through what a graph might look like.
You do not need to calculate or plot exact points, just sketch graphs that give the general shape.
As you produce your sketches, make a list of the features that you are considering.
Printable versions of these cards can be downloaded here
|Temperature of a cup of tea over time.
||Height of the valve on a bicycle tyre as the bicycle moves forwards.
|Height of a tennis ball thrown straight up and then caught.
||Distance fallen by a parachutist jumping out of a plane.
|Reading on the odometer (mile counter) of a car driving on a motorway.
||Radius of a spherical balloon as it is inflated.
|Volume of water remaining in a cup as water is sucked out through a straw.
||Distance along a tape measure measured in inches compared with distance measured in metres.
Once you have sketched graphs for some of the eight processes described, click on the following link to read a further question and move on further.
This is an Underground Mathematics resource.
Underground Mathematics is funded by a grant from the UK Department for Education and provides free web-based resources that support the teaching and learning of post-16 mathematics. It started in 2012 as the Cambridge Mathematics Education Project (CMEP).
Visit the site at undergroundmathematics.org to find more resources, which also offer suggestions, solutions and teacher notes to help with their use in the classroom.