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There are 307 results

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Counter Ideas

Stage:2

Here are some ideas to try in the classroom for using counters to investigate number patterns.

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Divisibility Tests

Stage:3, 4 and 5

Tim Rowland takes the reader through divisibility tests and how they work. An article to read with pencil and paper to hand.

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Pythagorean Triples I

Stage:4 and 5

The first of two articles on Pythagorean Triples which asks how many right angled triangles can you find with the lengths of each side exactly a whole number measurement. Try it!

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The Cyclic Quadilateral

Stage:3 and 4

This gives a short summary of the properties and theorems of cyclic quadrilaterals and links to some practical examples to be found elsewhere on the site.

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Pythagorean Triples II

Stage:4 and 5

This is the second article on right-angled triangles whose edge lengths are whole numbers.

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Geometry and Gravity 1

Stage:3, 4 and 5

This article (the first of two) contains ideas for investigations. Space-time, the curvature of space and topology are introduced with some fascinating problems to explore.

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Geometry and Gravity 2

Stage:3, 4 and 5

This is the second of two articles and discusses problems relating to the curvature of space, shortest distances on surfaces, triangulations of surfaces and representation by graphs.

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Whole Number Dynamics I

Stage:3, 4 and 5

The first of five articles concentrating on whole number dynamics, ideas of general dynamical systems are introduced and seen in concrete cases.

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Zooming in on the Squares

Stage:2 and 3

Start with a large square, join the midpoints of its sides, you'lllsee four right angled triangles. Remove these triangles, a second square is left. Repeat the operation. What happens?

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Whole Number Dynamics II

Stage:3, 4 and 5

This article extends the discussions in "Whole number dynamics I". Continuing the proof that, for all starting points, the Happy Number sequence goes into a loop or homes in on a fixed point.