Graph sketching

This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.

Can you make a curve to match my friend's requirements?

Several graphs of the sort occurring commonly in biology are given. How many processes can you map to each graph?

Can you sketch these difficult curves, which have uses in mathematical modelling?

Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging

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?

Which line graph, equations and physical processes go together?

Which curve is which, and how would you plan a route to pass between them?

Can you work out the equations of the trig graphs I used to make my pattern?

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.