Cultivating Minds, One Workshop at a Time

Exploring the Binomial Cube Activity

A colorful presentation slide featuring the title "Binomial Cube Activity" with abstract paint-like shapes in the background and an image of the binomial cube to the left.

A cube composed of 8 wooden blocks which fit together in a binomial pattern, representing the cube of two numbers, (a + b).

Introduce the child to the binomial cube, show him where it belongs on the shelf and how to carry it (thumbs on top holding the lid in place, and the fingers underneath carrying the weight of the box)

Unleash the Wonders of the Binomial Cube

Prepare for a mesmerizing journey into the realm of the binomial cube activity. Let’s embark on an adventure together, unlocking its secrets layer by layer with precision and care.

Introduction to the Binomial Cube

Introduce your little one to the enigmatic binomial cube. Guide their hands to its sturdy form, designate its place on the shelf, and demonstrate the art of carrying it gracefully – thumbs atop securing the lid, fingers below cradling the weight.

Exploration Begins

Set the stage for exploration by elegantly placing the cube on the table, hinges pointing to the bottom right corner. Lift the lid with finesse, aligning its corners precisely. Marvel at the symbolic red cube, a beacon of discovery.

Unveiling the Treasures

With skillful hands, unlock the cube, revealing its inner prisms and wonders. Encourage your child to join in this magical journey of revelation and reconstruction, fostering a sense of wonder and awe.

Building the Cube

Guide the child in opening and closing the box with care, ensuring the lid aligns perfectly. Show them how to transfer the prisms and cube to the table methodically, maintaining their order. Reconstruct the cube layer by layer, starting with the foundational red cube, culminating in a masterpiece of patience and precision.

Related article: Creative Little Minds – features of the Lovevery Block Set: Exploring the Binomial Cube Activity


Invite the child to participate in the final act of building the cube, fostering a sense of achievement and joy in the beauty of discovery and creation.

Let’s introduce your little one to the fascinating binomial cube! Show them where it belongs on the shelf and the proper way to carry it – thumbs on top securing the lid and fingers beneath supporting the weight.

Unlock the Secrets of the Montessori Binomial Cube!

The Montessori Binomial Cube is part of the sensorial curriculum area. The material is comprised of 8 wooden blocks which, when put together correctly, create a cube. These blocks fit into a natural wood box, which has the completed cube painted on the lid.

The blocks are colour coded, and different sizes, and fit together to create a binomial pattern, representing the cube of two numbers, (a + b), or tens plus units. The cube itself physically represents a mathematical equation, which is (a + b)³ = (a + b) (a + b) (a + b) = a³ + 3a²b + 3ab² + b³.

Discover the Magic of the Binomial Cube!

Let’s embark on a fascinating journey with the Binomial Cube, specially designed to captivate young minds aged between 3.5 to 4 years.

Join us on this enlightening journey as we unlock the secrets of the Binomial Cube, fostering a love for learning and mathematical exploration in our young learners. Let’s explore, create, and learn together through the wonders of the Binomial Cube!

The Binomial Cube is introduced to children from around 3.5 years to 4 years old.

At this delightful stage of exploration, it’s not about baffling math theories. Instead, it’s all about nurturing your child’s knack for spotting patterns and connections among the colorful blocks.

Igniting a Passion for Mathematical Discovery

Immerse your child in the sensorial wonders of the Binomial Cube, igniting a passion for learning right from the start.

This enchanting material sets the stage for mastering intricate mathematical marvels like fractions and algebra in the future. By embracing the Montessori approach, your child will delve deeper into algebraic realms during their primary years, all thanks to the Binomial Cube!

In these early stages, the purpose of the material is less focused on the complex mathematics behind the material, and rather is to provide a challenge for a child’s ability to find patterns and relationships between the blocks. Due to this purpose, the Binomial Cube falls into the sensorial curriculum area.

Related article: Montessori Materials – Making Learning Fun and Engaging!: Exploring the Binomial Cube Activity
Printable Binomial and Trinomial Cube Control Cards

This first thing that draws the eye in a Montessori classroom is the materials. Neatly ordered from left to right, and organised into curriculum areas, Montessori materials are specifically designed for little minds and little hands!

  • 1 red cube labeled “1 a³”
  • 1 blue cube labeled “1 b³”
  • 1 black and red prism labeled “3 a²b”
  • 1 black and blue prism labeled “3 ab²”

Exercise #1: – Building Outside of the Box
1. This exercise is only given to the child when he has had time to work with and experience the Binomial Cube
2. Ask the child to take and mix up all of the prisms and the cubes
3. Set the box aside so the child cannot see the pattern on the lid
4. Invite the child to build the binomial cube outside of the box

Exercise #2: – Moving Layers
1. The child has to be able to build the cube successfully outside of the box without the box being visible
2. Show the child how to slice and slide apart the front and back layer as well as the right and left side layers
3. Invite the child to slice and slide apart the layers as you did

Exploring Creativity Through Montessori Exercises

Presentation: – Making a Parade
1. Ask the child to remove the cubes and prisms and mix them up on the table, set the box aside
2. Show the child how to make a parade with the binomial cubes and prisms

Delve into the purpose of this educational tool, aimed at unlocking pattern recognition skills in young minds aged 3.5 to 4 years old, laying a solid foundation for their future mathematical understanding.

Guided by expert hands, children embark on the building phase, where each block finds its precise place, nurturing color matching abilities and enhancing pattern recognition skills. Witness the transformation as the cube takes shape, igniting a sense of accomplishment and mathematical discovery.

Educational Shops Recommendation

Educational Toys Recommendation