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.
problem
Towering trapeziums
Age
14 to 16
Challenge level
Can you find the areas of the trapezia in this sequence?
problem
Favourite
Of all the areas
Age
14 to 16
Challenge level
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?
problem
Graphs of changing areas
Age
16 to 18
Challenge level
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...
problem
Favourite
Area L
Age
16 to 18
Challenge level
By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
list
Perimeter, Area and Volume - Stage 4
Age
14 to 16
Challenge level
Working on these problems will help you develop a better understanding of perimeter, area and volume.
list
Geometry and Measures
Challenge level
This collection of resources is designed to help you to improve your understanding of topics in Geometry and Measures.
