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NRICH topics: Calculus Rates of change

Resources tagged with: Rates of change

Content type:
Age range:
Challenge level:

There are 8 NRICH Mathematical resources connected to Rates of change, you may find related items under Calculus.

Broad Topics > Calculus > Rates of change

Problem Primary curriculum Secondary curriculum

Immersion

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

Age 14 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Differential Equation Matcher

Match the descriptions of physical processes to these differential equations.

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Quick Route

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

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Reaction Types

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

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Jumping Gerbils

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.

Age 14 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

An Average Average Speed

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 ?

Age 14 to 16
Challenge Level Yellow star
Article Primary curriculum Secondary curriculum

An Introduction to Differentiation

An article introducing the ideas of differentiation.

Age 14 to 18
Problem Primary curriculum Secondary curriculum

Lap Times

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

Age 14 to 16
Challenge Level Yellow starYellow starYellow star

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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