Rates of change

problem
Favourite

Quick Route

Age

16 to 18

Challenge level

What is the quickest route across a ploughed field when your speed around the edge is greater?
problem
Favourite

Immersion

Age

14 to 16

Challenge level

Various solids are lowered into a beaker of water. How does the water level rise in each case?
problem
Favourite

Differential Equation Matcher

Age

16 to 18

Challenge level

Match the descriptions of physical processes to these differential equations.
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.
problem

Lap Times

Age

14 to 16

Challenge level

Can you find the lap times of the two cyclists travelling at constant speeds?
problem

An Average Average Speed

Age

14 to 16

Challenge level

My average speed for a journey was 50 mph, my return average speed of 70 mph. Why wasn't my average speed for the round trip 60mph ?
problem

Jumping Gerbils

Age

14 to 16

Challenge level

A conveyor belt, with tins placed at regular intervals, is moving at a steady rate towards a labelling machine. A gerbil starts from the beginning of the belt and jumps from tin to tin.
article
An Introduction to Differentiation

An article introducing the ideas of differentiation.