Small Triangle: Fraction Material
A small triangle from the elementary geometry material, one of a set of plane figures worked alongside the trapezoid and the quatrefoils. Handling a shape is a different kind of knowing from seeing one drawn: a child who has turned this triangle over, laid it against others and found where it fits will recognise it later at any orientation, on any page, which is exactly what a child who has only met it in a textbook will not do. Wood and plastic, for ages 6 to 12.
“The senses, being explorers of the world, open the way to knowledge.”
The Small Triangle serves as a foundational geometry material in the elementary classroom, where children aged 6-12 explore mathematical relationships through concrete manipulation.
- Recognition of triangular forms within square boundaries
- Understanding of spatial relationships between shapes
- Development of fine motor control through knob manipulation
- Introduction to concepts of area and geometric composition
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This green square base with its precisely-fitted red triangular inset addresses the elementary child's need to understand how shapes relate to one another in space. The cylindrical knob on the triangle piece enables independent exploration of geometric principles, allowing children to discover that triangles can be composed and decomposed within larger shapes. Through repeated work with the Small Triangle, children internalize concepts of area, perimeter, and angular relationships that form the basis for later abstract geometry. The contrasting colors of the square base and triangular inset create a visual isolation that helps children focus on the specific geometric relationship being explored. This material bridges the gap between the sensorial work of early childhood and the mathematical abstraction required in upper elementary, providing a concrete reference point for understanding triangular forms in architecture, art, and nature.
How to present it
Follow the Montessori method of presentation for optimal child development.
Place the Small Triangle on a work mat with the green square base positioned directly in front of the child. Ensure the red triangular piece is properly seated in its frame.
- 1
Invite the child to grasp the cylindrical knob with a three-finger grip and slowly lift the red triangle from its base
Demonstrate the pincer grip if needed, emphasizing control over speed - 2
Place the triangle beside the square base and invite observation of both shapes
Allow silence for the child to notice the relationship independently - 3
Trace the perimeter of the empty triangular space with your index finger, then trace the red triangle piece
Move slowly and deliberately to emphasize the matching contours - 4
Return the triangle to its base, rotating if necessary to find the correct fit
Let the child discover through trial that only one orientation works - 5
Repeat the process, encouraging the child to work independently
Step back once the child shows readiness to explore alone
Every Child Is a Little Creator
Heritage
Since 1929
Brands used by
schools worldwide
European brands
AMI
Endorsed
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