problem

### Take your Dog for a Walk

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

problem
###
Take your Dog for a Walk

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

problem
###
Curve fitter

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

problem
###
MathsJam Jars

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

problem
###
Interpolating polynomials

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

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

problem
###
A close match

Can you massage the parameters of these curves to make them match as closely as possible?

problem
###
Fill Me Up

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

problem
###
Guessing the graph

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