30 Cubes

This task is intended to support students building their own identity as a mathematics explorer. They will generate their own data and look for patterns within a sequence. They should work to determine ways to organize their findings so they can make convincing arguments and conjectures. Students are asked to think in cubes by building, drawing, and quantifying their results. “How many different rectangular prisms, which Jo calls cuboids, can you make using 1 cube, 2 cubes, 3 cubes and onwards to 30 cubes?”