Stretchy Calculus

Stretchy Calculus

These calculus resources all encourage you to think about transformations. 
Slippery Areas link

Slippery Areas 

Age 16 to 18 Challenge Level:
Can you find the definite integral of a transformed function?
Sine Stretching link

Sine Stretching 

Age 16 to 18 Challenge Level:
Can you find the gradient function of $\sin 3x$. How did you convince yourself?
Trigsy Integrals link

Trigsy Integrals 

Age 16 to 18 Challenge Level:
What different ways can you find to calculate these integrals?
Stretching an Integral link

Stretching an Integral 

Age 16 to 18 Challenge Level:
What happens to areas under the graph of $\frac{1}{x}$ when they are stretched?

Related

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.
Copyright © 1997 - 2018. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.