Cube Model for (a+b)^3

cults3d

Visual or physical models are not always necessary in learning algebra. Eventually, they will be too complicated to use effectively. However, some students and adults alike enjoy seeing the physical connections of abstract mathematics, such as the case of expanding (a+b)^3. After exploring the physical models, it is less likely that they will write (a+b)^3 = a^3 + b^3. In this design, a equals 38mm, and b equals 12mm, with the assembled cube measuring 50mm. To control complexity, I combined b^3 with the 3ab^2 into one piece as a scaffold. It's essential to discuss the pieces thoroughly to understand what each means.