# Binomial Cube

From Montessori Album

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Binomial Cube | |
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Sensorial - Visual Discrimination of Form | |

Level | Primary |

Age | 3 + |

Prerequisites | Pink Tower |

Materials | Binomial Cube |

In this activity the child assembles a three-dimensional puzzle made up of 8 wooden blocks. This puzzle is the physical representation of the binomial formula: (a+b)^{3}. This activity prepares the child to use the Trinomial Cube. It also indirectly prepares the child to learn Algebra later on.

## Presentations

### Presentation 1

- Take the material to a mat or table. Place the box in the upper left-hand corner.
- Open the box and place the lid as shown in the picture.
- Take out each block of the top layer one at a time, and place them on the lid as shown.
- Move the blocks of the top layer to the side.
- Take out each block of the bottom layer one at a time, and place them on the lid as shown.
- Move the blocks of the bottom layer to the side.
- Show that all the blocks in the bottom layer are the same height, and all the blocks in the top layer are the same height.
- Move the blocks of the bottom layer back onto the lid one at a time, matching the colors.
- Move the blocks of the bottom layer back into the box one at a time.
- Move the blocks of the top layer back onto the lid one at a time, matching the colors.
- Move the blocks of the top layer back into the box one at a time.
- Let the child have a turn.

### Presentation 2

### Video

Teacher training lecture on the Binomial Cube.

## Points of Interest

## Control of Error

## Variations and Extensions

TED Talk on the Binomial Cube used at different levels.

## Material

### Make Your Own

### Where to Buy

Prices and links checked: 23 January 2022

Binomial Cube | |
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Store | Price |

Adena | $25.91 |

Adena | $25.91 |

Alison's | $49.61 |

Bruins | $93.00 |

Bruins unpainted wood |
$93.00 |

E & O | $35.10 |

Montessori Outlet | $28.95 |

Nienhuis | $106.50 |

Thinkamajigs | $29.95 |

## Further Reading

- Basic Montessori: Learning Activities for Under-fives by David Gettman, pages 94-97