How can we as teachers begin to introduce 3D ideas to young
children? Where do they start? How can we lay the foundations for a
later enthusiasm for working in three dimensions?
What is the shape of wrapping paper that you would need to completely wrap this model?
This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
Glarsynost lives on a planet whose shape is that of a perfect
regular dodecahedron. Can you describe the shortest journey she can
make to ensure that she will see every part of the planet?
Show that is it impossible to have a tetrahedron whose six edges
have lengths 10, 20, 30, 40, 50 and 60 units...
A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?
Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices. . . .
Read all about Pythagoras' mathematical discoveries in this article written for students.
Can you make a new type of fair die with 14 faces by shaving the
corners off a cube?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
What shape would fit your pens and pencils best? How can you make it?