## pascal's cube

Here is a photo of some Pascal's cubes my year 7 and 8 students made (click on the image to enlarge).

Here's how to make a Pascal's cube:

In groups of three, each student makes a rhombus grid on isometric paper and fillis in Pascal's triangle BUT using a chosen clock arithmetic. The ones on the right are modulo 7 and 5.

The students should work together as a team to make sure none of them makes a mistake.

When the values are done, assign a colour to each number, making sure all members of the group choose the same colours. Then just stick the three completed rhombuses together as shown!

This lesson was great fun and generated a lot of excitement in the room! The idea for the task was adapted from here. There are other ideas related to this task on nrich, and this is a good homework task to follow up with.

There is also an origami opportunity here - follow the origami link at the bottom left of the page. Putting several of these units together in various colours in the same way as above will create an origami version of this task!