Area is an exciting topic to teach! We start by introducing young children to area and perimeter of simple shapes, move through to curved shapes and volume, meet $\pi$, and eventually move on to using calculus to solve real world problems involving areas and volumes.
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Some thoughts on teaching about area
This article explores some ideas that are important to bear in mind when teaching about area, and suggests some resources that may be useful.
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Favourite
Perimeter Possibilities
Age
11 to 14
Challenge level
I'm thinking of a rectangle with an area of 24. What could its perimeter be?
problem
Favourite
Fence it
Age
11 to 14
Challenge level
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
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Favourite
Curvy areas
Age
14 to 16
Challenge level
Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
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Integration matcher
Age
16 to 18
Challenge level
Can you match the charts of these functions to the charts of their integrals?
problem
Favourite
Curved square
Age
16 to 18
Challenge level
Can you find the area of the central part of this shape? Can you do it in more than one way?
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Perimeter, Area and Volume - Stage 3
Challenge level
Working on these Stage 3 problems will help your students develop a better understanding of area and volume.
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Perimeter, Area and Volume - Stage 4
Challenge level
Working on these Stage 4 problems will help your students develop a better understanding of area and volume.
