There were other things I would have done had time allowed. One is to create similar representations in pattern blocks, like those of Daniel Ruiz Aguilera, but simpler:
Another was to use Paula Beardell Krieg's colourful isometric collage.I've come up with another idea (after admiring lots of posts on Paula Beardell Krieg's Playful Bookbinding and Paper Works blog, and after making popup chicks for Easter cards), that I think is a good one: popup cuboids.
NCTM isometric drawing tool:
|(I particularly like this cuboid,|
because it's central diagonal is a whole number.
But that's not for my students.)
I'll show another example with a cube. Ask students to:
- make a smallish (< 8) cube out of interconnecting cm cubes;
- ask them to fold squared paper along a central line (scoring with scissors first might help);
- then make cuts away from that fold the size of the cube;
- score the new folds they need to make;
- fold in the cube;
- make annotations about how many squares there are on each face, what the total number of squares covering the cube would be and how many little cubes are needed to make this cube (lots of just-right calculations here).