What is a Binomial Cube?

This Math lesson is designed for 3 to 6-year-old children. It introduces the child to algebraic expression and helps them learn the different mathematical concepts.

The binomial cubes are color-coded 3D blocks that represent the algebraic binomial expression. The cube is made up of 8 wooden blocks of different sizes. These blocks fit together to form a cube and represent the cube (a + b).

A Binomial Cube Box Consists of

One red cube and three red & black matching prisms.
One blue cube and three blue & black matching prisms.
The square of the binomial is painted on the lid.

Benefits of Using Binomial Cube

To prepare the child to learn advanced mathematical concepts.
To refine dexterity and visual acuity.
To provide concrete and visual exposure to the algebraic concepts.
To provide a conceptual understanding of numbers and formulas.
It helps in developing fine motor skills, order, concentration, and hand-eye coordination.

Binomial Cube vs Trinomial Cube

The Binomial Cube and Trinomial Cube are Montessori materials that help children learn about the basic concepts of algebra.

Binomial Cube: The Binomial Cube is a set of 27 blocks that can be used to represent the algebraic expression (a + b)^3. The blocks are color-coded to represent the different terms in the expression, and they can be arranged in different ways to represent different values of the expression.
Trinomial Cube: The Trinomial Cube is a set of 81 blocks that can be used to represent the algebraic expression (a + b + c)^3. The blocks are color-coded to represent the different terms in the expression, and they can be arranged in different ways to represent different values of the expression.

Both the Binomial Cube and Trinomial Cube are concrete materials that help children visualize abstract concepts. They can be used to help children learn about the following concepts:

Exponents: The Binomial Cube and Trinomial Cube can be used to help children understand the concept of exponents. For example, the Binomial Cube can be used to show that (a + b)^3 is the same as a^3 + 3a^2b + 3ab^2 + b^3.
Factoring: The Binomial Cube and Trinomial Cube can be used to help children learn about factoring. For example, the Binomial Cube can be used to show that (a + b)^3 can be factored into a (a^2 + 2ab + b^2).
Volume: The Binomial Cube and Trinomial Cube can be used to help children learn about volume. For example, the Binomial Cube can be used to show that the volume of a cube is equal to a^3.

The Binomial Cube and Trinomial Cube are versatile materials that can be used to teach a variety of mathematical concepts. They are a valuable addition to any Montessori classroom.

How to Introduce a Binomial Cube to a Child?

Remove the lid of the binomial cube box and place it on the table facing up.
Open one side of the box and gently remove all the blocks from the box one at a time.
Sort the blocks by color order. Make sure to leave space so that all the colors are visible.
Tell the child to build the cube using the box’s lid
Begin with the red block and place it on the red color block on the box’s lid
Find a matching color block and place it in the correct spot.
Repeat placing the colored cubes one by one. (Note: The top pattern should match the lid of the box).
Place a hand on the first level to show the child it’s flat.
Now, tell the child to move this layer into the box.
Once the first level is placed in the box, begin the second level on top, using the box’s lid as a reference.
Again, when the second layer is complete, ask the child to move it into the box.
Close the sides of the box and close the lid.
Ask the child to repeat the activity.

This video lesson guides the child about arranging the blocks based on color and size. It aims at developing a child’s fine motor skills, order, concentration, and hand-eye coordination.

Invite the child to arrange the blocks together as shown in the video and help them develop their visual dimension senses and math concepts.

To watch more math video resources, click here.

Video Created by: Joanne Shango

FAQs

What is a binomial cube?

A binomial cube is a Montessori educational toy that consists of a wooden cube divided into eight smaller cubes of varying sizes that fit together perfectly to form a larger cube. Each smaller cube is painted a different color and is marked with a mathematical symbol. The cube is used to teach children concepts such as geometry, algebra, and problem-solving.

What are the aims of the binomial cube in Montessori?

The Binomial Cube is a Montessori material that aims to help children develop visual and spatial perception, as well as an understanding of mathematical concepts such as algebraic formulas and the binomial theorem.

What is a binomial cube vs a trinomial cube?

The binomial cube and trinomial cube are both Montessori materials used to teach spatial reasoning and algebraic concepts to children. The binomial cube is made up of eight wooden blocks that can be arranged in a specific pattern, while the trinomial cube is made up of 27 blocks arranged in a specific pattern. The trinomial cube is more complex and requires more advanced spatial reasoning skills to solve.