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Resources tagged with Rates of change similar to An Introduction to Differentiation:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Pre-Calculus and Calculus > Rates of change

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An Introduction to Differentiation

Stage: 4 and 5

An article introducing the ideas of differentiation.

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Jumping Gerbils

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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.

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An Average Average Speed

Stage: 4 Challenge Level: Challenge Level:1

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 ?

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Lap Times

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Two cyclists, practising on a track, pass each other at the starting line and go at constant speeds... Can you find lap times that are such that the cyclists will meet exactly half way round the. . . .

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Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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