# 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 [2]. *

#### Area under a graph

Introduction to integration using area under velocity-time graphs

Student and teacher notes Word [3] Student and teacher notes pdf [4]

Slides [5]

#### Containers

Using differentiation to minimise surface area.

Student and teacher notes Word [6] Student and teacher notes pdf [7]

####
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 [8] Student and teacher notes pdf [9]