Differentiation and Integration

Mind Your Ps and Qs

Stage: 5 Short Challenge Level: Challenge Level:2 Challenge Level:2

Sort these mathematical propositions into a series of 8 correct statements.

Implicitly

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find the maximum value of the curve defined by this expression?

Integration Matcher

Stage: 5 Challenge Level: Challenge Level:1

Match the charts of these functions to the charts of their integrals.

Brimful

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find the volumes of the mathematical vessels?

Brimful 2

Stage: 5 Challenge Level: Challenge Level:1

Which of these infinitely deep vessels will eventually full up?

The Right Volume

Stage: 5 Short Challenge Level: Challenge Level:1

Can you rotate a curve to make a volume of 1?

Calculus Countdown

Stage: 5 Challenge Level: Challenge Level:1

Can you hit the target functions using a set of input functions and a little calculus and algebra?

Weekly Challenge 25: Trig Trig Trig

Stage: 5 Short Challenge Level: Challenge Level:2 Challenge Level:2

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

Gradient Match

Stage: 5 Short Challenge Level: Challenge Level:1

What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?

Turning to Calculus

Stage: 5 Challenge Level: Challenge Level:1

Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

Curvy Catalogue

Stage: 5 Challenge Level: Challenge Level:1

Make a catalogue of curves with various properties.

Calculus Analogies

Stage: 5 Challenge Level: Challenge Level:1

Consider these analogies for helping to understand key concepts in calculus.

Weekly Challenge 30: the Sign of the Times

Stage: 5 Short Challenge Level: Challenge Level:2 Challenge Level:2

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

Patterns of Inflection

Stage: 5 Challenge Level: Challenge Level:1

Find the relationship between the locations of points of inflection, maxima and minima of functions.