Resources tagged with: Rates of change

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Broad Topics > Calculus > Rates of change

Differential Equation Matcher

Age 16 to 18 Challenge Level:

Match the descriptions of physical processes to these differential equations.

Reaction Types

Age 16 to 18 Challenge Level:

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

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?

An Introduction to Differentiation

Age 14 to 18

An article introducing the ideas of differentiation.

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?

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.

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 ?

Lap Times

Age 14 to 16 Challenge Level:

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