Training the senses through direct experience, this Divided Hexagonal Based Prism is a specialized Montessori geometric solid that demonstrates how complex three-dimensional shapes can be decomposed into simpler components. The hexagonal prism is precisely divided along a diagonal plane, creating two asymmetrical pieces that fit together perfectly, which means children can explore spatial relationships, volume concepts, and the properties of non-rectangular prisms.
“Children display a universal love of mathematics, which is par excellence the science of precision, order, and intelligence.”— Maria MontessoriThe Discovery of the Child
The Divided Hexagonal Prism addresses children's natural fascination with how complex shapes relate to simpler geometric forms. This decomposable hexagonal-based solid reveals the mathematical relationships between polygonal bases and three-dimensional structures through direct manipulation. Children at ages 6-12 are developmentally ready to understand that geometric solids can be broken down into component parts, making abstract spatial concepts concrete and tangible. The hexagonal prism's unique six-sided base creates opportunities to explore symmetry, angles, and proportional relationships that simpler geometric solids cannot provide. Dr. Montessori recognized that children learn geometric principles most effectively when they can physically separate and reconstruct three-dimensional forms. The Divided Hexagonal Prism satisfies this developmental need by allowing hands-on exploration of how flat surfaces combine to create volume. This lacquered wood solid prepares children for advanced mathematical concepts including surface area calculations, volume relationships, and geometric proofs. The decomposable design transforms abstract geometric theory into concrete understanding, building the foundation for later work in advanced mathematics and spatial reasoning.

Use slow, deliberate movements to model careful observation
Hold the base firmly while sliding the top piece to prevent dropping
Place pieces on different orientations to see all surfaces
If needed, suggest examining the matching surfaces for clues
This helps visualize the plane of division abstractly
Use slow, deliberate movements to model careful observation
Hold the base firmly while sliding the top piece to prevent dropping
Place pieces on different orientations to see all surfaces
If needed, suggest examining the matching surfaces for clues
This helps visualize the plane of division abstractly

Heritage
Since 1929

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Manipulating the divided prism develops three-dimensional thinking and understanding of how complex shapes can be decomposed.
Introduces concepts of volume division, cross-sections, and the properties of hexagonal prisms through hands-on exploration.
Figuring out how the two pieces fit together strengthens logical thinking and spatial problem-solving abilities.
'diagonal plane,' 'asymmetrical pieces,' 'hexagonal faces' to enrich vocabulary
Connect to real-world architecture by showing images of buildings with hexagonal elements
Prepare extension cards showing the mathematical formula for hexagonal prism volume for interested children
“Present this material after the child has worked extensively with basic geometric solids and can identify a hexagonal prism”
Everything you need to know about this material.
Contact Our ExpertsThis material introduces children to advanced geometric concepts including hexagonal prism properties, diagonal planes, volume decomposition, spatial relationships, and how complex 3D shapes can be divided into simpler components. It builds understanding of non-rectangular prisms and prepares children for more complex geometry studies.
Children explore by separating and reassembling the two asymmetrical pieces, tracing the diagonal cut plane, comparing the divided sections, and discovering how the pieces fit together perfectly. They can also trace around the shapes, create drawings from different perspectives, and use it alongside other geometric solids for comparison studies.
Unlike standard geometric solids, this prism is precisely divided along a diagonal plane, creating two unique asymmetrical pieces. This division allows children to physically explore internal geometry, understand how 3D shapes can be decomposed, and visualize cross-sections that would otherwise remain abstract concepts.
Children should have experience with basic geometric solids, understand concepts of faces, edges, and vertices, and be familiar with regular prisms. Prior work with the geometric cabinet, constructive triangles, and basic 3D shapes helps children better appreciate the complexity of this divided hexagonal prism.
Crafted with Montessori-quality standards, this divided prism is made from precisely cut, smooth-finished wood designed to withstand years of classroom handling. The two pieces fit together with exact precision, maintaining their alignment even after repeated use, making it a long-lasting investment for geometry studies.
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