Try moving Mr Pearson and his dog using your computer mouse. The graph shows how far Mr Pearson is walking from his house after a certain amount of time.
What happens to the graph once Mr Pearson gets back to his house after his walk?
Can you make a curved line on the graph?
Describe how Mr Pearson must walk to create this curve.
How must Mr Pearson walk to make the curve steeper?
And can you make the curve shallower? How does Mr Pearson walk this time?
Some graphs for you to try to reproduce can be found in the notes .
It would be a good idea to try You Tell the Story before tackling this problem. If possible, it would be great to introduce the class to these ideas using a sensor, which gives an output on a distance/time graph by recording how far an object is from the sensor. (It can also be linked to a computer so that the
display can be viewed easily by all.) The idea of this problem is for children to get a feel for what a distance/time graph can tell them, and this is likely to involve a great deal of discussion in pairs, groups and as a whole class.
Here are some graphs for you to try to reproduce. Can Mr Pearson create the same graphwith different walks? Can you describe what things you can change and what things have to stay the same?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.