# Montessori Trinomial Cube Lesson Details + DIY alternative

### 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

### Presentation

• 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.

### Extension Activities

1. Building outside the box and showing the patterns on the sides and top horizontally and vertically
2. Building one layer next to each other
3. Building stereognostically
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