Did you know a circle is not the only shape that maintains the same width as you rotate it? There are other, lesser known, 'shapes of constant width'. In this set of resources students can explore what it means for a shape to have 'constant width', learn how to construct shapes of constant width using a pair of compasses and discover some real life shapes of constant width.
Puzzles made by the Think Maths team for Maths Fest 2018. Includes a hints sheet and a solutions sheet. We hope they come in handy in the classroom. Enjoy!
Help us estimate the dimensions of a fair cylindrical three-sided coin, by taking part in our experiment!
These resources are centred around students making snowflakes with 6-fold symmetry (real snowflakes always have 6-fold symmetry!) and not 'snow-fakes' - those with 8-fold symmetry, for example.
With these resources students can fold their own Origami Tangram pieces (or cut them out) and then investigate the properties of the shapes of the pieces, before solving some Tangram puzzles with them.
In this set of activities students approximate Pi by rolling dice and spotting factors between pairs of numbers.
Can you fit the tetrahedron in the cube? This nice little puzzle activity challenges 3D spatial awareness and thinking skills, as well as building nets and reinforcing knowledge of some simple polyhedra.
Did you know it's possible to build a dodecahedron using only 12 sheets of A4 paper?
Thanks to the Wallace-Bolyai-Gerwien Theorem we know that any polygon can be dissected into pieces and rearranged to match any other polygon of the same area.
Computers work by adding binary numbers using circuits of "logic gates". Instead of an electrical circuit, it is possible to build these logic gates out of domino circuits. A huge network of dominoes is able to add numbers together in the same way a computer processor would, only much slower.