Triangles

problem
Cut and make

Age

7 to 11

Challenge level

Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?
problem
Four triangles puzzle

Age

5 to 11

Challenge level

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
problem
Tessellating triangles

Age

7 to 11

Challenge level

Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?
problem
Let's investigate triangles

Age

5 to 7

Challenge level

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
problem
Bracelets

Age

7 to 11

Challenge level

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
problem
Cutting corners

Age

7 to 11

Challenge level

Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?
problem
Tri.'s

Age

7 to 11

Challenge level

How many triangles can you make on the 3 by 3 pegboard?
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Making maths: test the strength of a triangle

Have you noticed that triangles are used in manmade structures? Perhaps there is a good reason for this? 'Test a Triangle' and see how rigid triangles are.
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Making maths: equilateral triangle folding

Make an equilateral triangle by folding paper and use it to make patterns of your own.
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Interacting with the geometry of the circle

Jennifer Piggott and Charlie Gilderdale describe a free interactive circular geoboard environment that can lead learners to pose mathematical questions.