Walk and Ride

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

Fence It

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

How Far Does it Move?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

Speeding Up, Slowing Down

Stage: 3 Challenge Level:

Take a look at the interactivity below which shows regular polygons "rolling" along the horizontal surface. It leaves a trace of the path of the red dot and on the graph it records the speed of the travelling dot.

Experiment by positioning the red dot at the centre of the polygons, at one of the vertices or at the centre of one of the sides of the polygons and explore how this affects the speed / time graph.

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Challenge:

Can you now work out what produced the following speed / time graph?