How many triangles can you make on the 3 by 3 pegboard?
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Can you make these equilateral triangles fit together to cover the
paper without any gaps between them? Can you tessellate isosceles
Caroline from St Jude's C of E School said
that she found one more way to put the green (isosceles) triangles
together. She sent this picture of all three ways:
Sally says thereis one more way than this, as
because we are not allowing reflection of the triangles themselves,
then we could make the longer shape again, but the other way round,
so the down pointing triangle was to the right of the up pointing
Caroline then goes on to suggest:
The two blue triangles are the same, just reflected of each
other. They are scalene because all their angles and sides are
different lengths. They are also Right Angled Triangles.
So if there are three different edge lengths, and then also two
ways of rotating the other triangle to place it there are 6 ways
like in my picture.
Great! Why not now explore putting the yellow,
blue and green triangles all together. Watch out for different edge
If anyone has any further ideas, please do get
in touch with us.