Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?
This problem challenges you to find cubic equations which satisfy different conditions.
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Can you work out which processes are represented by the graphs?
Can you work out the equations of the trig graphs I used to make my pattern?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
