What is the Montessori Trinomial Cube?
The Montessori trinomial cube is composed of 27 wooden blocks designed to fit within the box and form a bigger cube. This also introduces essential algebraic concepts and provides a tangible representation of the (a + b + c)^3 formula, thus preparing them for more advanced mathematical understanding.
Construction of the trinomial cube follows this formula:
(a + b + c)^3 = a^3 + 3(a^2)b + 3(a^2)c +3ab^2 + 6abc + 3ac^2 +b^3 + 3b^2c + 3bc^2 + c^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 and third layers 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