Why does this fold create an angle of sixty degrees?

Make a centre crease down the length of the paper then open it up.

Next fold one corner over and onto the centre crease so that the fold line passes through the corner next to it (on the short side of the paper).

You have created some angles of 60 degrees and of 30 degrees.

Can you prove this?

As a further challenge you may like to fold a sheet of paper into an equilateral triangle and then into a tetrahedron.

Download the equilateral triangle paper folding instructions here.Folding an equilateral triangle

Fold the triangle along the dotted lines to make four smaller equilateral triangles. Lift three small triangles to make faces of the tetrahedron and secure with sticky tape.

Click here for the MAKING SIXTY worksheet.

Click here for the MAKING SIXTY Inclusion and Home Learning Guide.

Click here for the MAKING SIXTY Notes for Teachers.


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