Areas and Integrals

Current

Areas and Integrals

Integration can be better understood if you consider its relationship with area. All of the problems in this feature require you to think deeply about area, integrals, and the relationship between them.


Towering Trapeziums link

Towering Trapeziums live

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find the areas of the trapezia in this sequence?

Of All the Areas link

Of All the Areas live

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?

Graphs of Changing Areas link

Graphs of Changing Areas live

Stage: 5 Challenge Level: Challenge Level:1

Use graphs to gain insights into an area and perimeter problem, or use your knowledge of area and perimeter to gain insights into the graphs...

Area L link

Area L live

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

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

Perimeter, Area and Volume Stage 4 - Short Problems link

Perimeter, Area and Volume Stage 4 - Short Problems 

Stage: 4

A collection of short Stage 4 problems on area and volume.