Graph sketching

problem
Guess the function

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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

Age

14 to 18

Challenge level

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?
problem
Whose line graph is it anyway?

Age

16 to 18

Challenge level

Which line graph, equations and physical processes go together?
problem
Curve match

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

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