The Square of Pythagoras or the Decanomial Square is a first sensorial representation of the times tables. The colours correspond to the colours of the bead material and they represent 1×1 all the way up to 10×10. By carrying out this exercise, the children become familiar with algebraic patterns. The study of patterns in numbers is the key to algebraic thinking.
Later the children make the same Square of Pythagoras or the Decanomial Square with the beads. Even later still, this work is extended to replacing the numbers with the symbols A – J. In this last stage, the white square (the 7×7 beads) becomes G2.