# FSMQ Level 3 Calculus - original activities

*These Nuffield activities are needed for the AQA courses in **Free-Standing Maths and Use of Maths **but have not been revised by Nuffield. See also the revised activities. *

#### Area under a graph

Introduction to integration using area under velocity-time graphs

Student and teacher notes Word Student and teacher notes pdf

Slides

#### Containers

Using differentiation to minimise surface area.

Student and teacher notes Word Student and teacher notes pdf

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That's a lot of rock! *Teacher contribution *

Students fit a curve to the cross section of a tunnel, then use integration and numerical methods to estimate the volume of rock removed and the time taken.

Student and teacher notes Word Student and teacher notes pdf