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Isometric Areas
More Isometric Areas
Of All the Areas
Towering Trapeziums
Graphs of Changing Areas
Area L
Areas of Interest
Areas of Interest
In this feature, we offer a selection of rich problems about area for use in all secondary classrooms.
We start by inviting younger students to explore areas on isometric grids, move on to problems about Pythagoras' theorem, and finally, for the oldest students, we offer tasks about integration and functional relationships.
We start by inviting younger students to explore areas on isometric grids, move on to problems about Pythagoras' theorem, and finally, for the oldest students, we offer tasks about integration and functional relationships.
Isometric Areas Age 11 to 14Challenge Level 
Age 11 to 14
Challenge Level
We usually use squares to measure area, but what if we use triangles instead?
More Isometric Areas Age 11 to 14Challenge Level
Age 11 to 14
Challenge Level
Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...
Of All the Areas Age 14 to 16Challenge Level
Age 14 to 16
Challenge Level
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?
Towering Trapeziums Age 14 to 16Challenge Level
Age 14 to 16
Challenge Level
Can you find the areas of the trapezia in this sequence?
Graphs of Changing Areas Age 16 to 18Challenge Level
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...
Area L Age 16 to 18Challenge Level
Age 16 to 18
Challenge Level
By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?