STEP Prep Module 4

Current

STEP Prep Module 4

Some of these problems are designed to help you think about fundamental skills and build your mathematical fluency and speed, so don't be put off if you think they're too easy!

On most STEP papers, there are several questions requiring a good understanding of integration and differentiation. This module is intended to help you to develop your intuition for calculus, and we hope that by working through the problems you will gain a deeper understanding of the ideas behind integration and differentiation. The next module will focus on calculus techniques.
Calculus Analogies link

Calculus Analogies 

Stage: 5 Challenge Level: Challenge Level:1

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

Turning to Calculus link

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.

Patterns of Inflection link

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.

Calculus Countdown link

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?

Integration Matcher link

Integration Matcher 

Stage: 5 Challenge Level: Challenge Level:1

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