What is the Montessori Binomial Cube?
The Montessori binomial cube is composed of 8 wooden blocks designed to fit within the box and form a bigger cube. Among these 8 wooden blocks, there is a single red cube, three matching red and black prisms, a blue cube, and three blue and black prisms. This introduces essential algebraic concepts and provides a tangible representation of the (a + b)^3 formula, thus preparing them for more advanced mathematical understanding.
Construction of the binomial cube follows this formula:
(a+b)^3 = a^3 + 3a^b + 3ab^2 + b^3
- Show the child how to remove and rebuild the binomial cube.
- Use visual discrimination to choose and place a^3 in the corner.
- Look at and point to the red side. Locate and place the red and black prisms (a^2 b) on each side of the red cube.
- Build the rest of the layer from the inside out.
- Build the second layer from the inside out as well.
- Close the box and invite the child to repeat.
- Building outside the box and showing the patterns on the sides and top horizontally and vertically
- Building one layer next to each other
- Building stereognostically.