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.
problem
Favourite
Isometric Areas
Age
11 to 14
Challenge level
We usually use squares to measure area, but what if we use triangles instead?
problem
Favourite
More Isometric Areas
Age
11 to 14
Challenge level
Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...
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
Towering Trapeziums
Age
14 to 16
Challenge level
Can you find the areas of the trapezia in this sequence?
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
Geometry and Measure - Short Problems
A collection of short Stage 3 and 4 problems on geometry and measure.
list
Perimeter, Area and Volume - Stage 3
Age
11 to 14
Challenge level
Working on these problems will help you develop a better understanding of perimeter, area and volume.
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.
