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Mathematics in Education and Industry (MEI)

MEI is committed to improving mathematics education and promotes teaching and learning through different strands of activity. We support teachers through a range of professional development opportunities, including our annual conference. Innovative resources are continually being developed to extend and enrich your knowledge of mathematics, whether teacher, student, undergraduate or member of the workforce.

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Maths Item of the Month

September 2018
Spiral of Theodorus

Spiral of Theodoru

The Spiral of Theodorus is constructed using an isosceles right-angled triangle with shorter sides of one unit. Successive right-angled triangles are then constructed with the previous hypotenuse as the base and a height of one unit.

How many triangles can be constructed before one of the triangles overlaps an existing triangle?

Spiral of Theodoru

Show that the ring created between each pair of triangles has the same area as the circle at the centre (with radius one unit).

Maths item of the month archive

A list of Maths Items of the Month categorised by GCSE/A level topics can be seen at: Maths Items of the Month Curriculum mapping.