Graph sketching

problem
Take your dog for a walk

Age

7 to 11

Challenge level

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?
problem
Curve hunter

Age

14 to 18

Challenge level

This problem challenges you to sketch curves with different properties.
problem
Curve fitter

Age

14 to 18

Challenge level

This problem challenges you to find cubic equations which satisfy different conditions.
problem
MathsJam jars

Age

14 to 16

Challenge level

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
problem
Interpolating polynomials

Age

16 to 18

Challenge level

Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.
problem
Bird-brained

Age

16 to 18

Challenge level

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
problem
A close match

Age

16 to 18

Challenge level

Can you massage the parameters of these curves to make them match as closely as possible?
problem
What's that graph?

Age

14 to 18

Challenge level

Can you work out which processes are represented by the graphs?
problem
Fill me up

Age

11 to 14

Challenge level

Can you sketch graphs to show how the height of water changes in different containers as they are filled?
problem
Guessing the graph

Age

14 to 16

Challenge level

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?