Why do this problem?
The stimulus for the problem is the engaging context of the
construction of the solid. Is this really a regular dodecahedron
and how can we be sure?
Without discussing how or why the pentagon is regular,
encourage learnersto make pentagons and put them together to make a
Then challenge them to examine whether the pentagons are
actually regular or not.
- How do you know this is a regular pentagon?
- What would have to be the case for the pentagon to be regular
(all sides and all angles equal)?
- What do we know?
- What mathematics do you know that might be useful?
Making this and other solids in similar ways, see the article
on constructing platonic solids
. The focus for the learners is
on reading and following written instructions as much as on gaining
greater familiarity with 3D shapes.
The A4 paper part of theproblem.