They are therefore more affordable and easy to store. Please note that the insets do not have a backing. We hope this post was informational to you. Our Wooden Squares and Rectangles are extremely versatile and can be used to demonstrate fractions in shapes other than a circle. Children will see that both the rectangle and the triangle are equivalent! Obviously, they will wonder which one is the biggest! By overlapping the rectangle over the triangle, you can cut part of the triangle to separate a part that can be reconnected to form a rectangle. Ask them which piece would they choose if they were to eat one. Present the children one rectangle piece and one triangle piece. Split one in half to obtain 2 congruent rectangles, and one in half to obtain 2 congruent triangles. Equivalent area Moving the parts of a triangles to form a rectangle A Rectangle and a Triangle Can be Equivalent – Different Shape, but Same Surface Area You can reinforce this evidence by breaking down the triangle into pieces and using these pieces to reconstitute the rectangle. This alone proves that the rectangle is equivalent in area to the triangle. In the example below, we used a rectangle, half of a square, and a triangle, half of a square as well. Using our material, you can create a visual statement. All Similar because Proportional, and Same Shape Study of Equivalenceįinally, children learn about equivalence, geometric figures with the same area, but different shapes and sizes are not congruent, nor similar. Three Squares of Difference Sizes, Three Triangles of Different Sizes. The same is true when using other shapes such as the triangles shown below. In our example below, we used 3 squares to show how similar figures have the same proportions in terms of sides and angles, but have a different area. Using our material, you can demonstrate this concept. These geometric figures are said to be similar, and they are not congruent. These figures still have the same properties in terms of sides and angles, but have a different area. Pictures Depicting Congruence – 1 Shape Superimposed on 2 Shapes are Congruent Shapes The 4 squares in the middle and the 4 triangles on the right both form a large square congruent to the square on the left Study of SimilaritiesĬhildren may encounter geometric figures with the same shapes, but with different sizes. The same is true for the triangles in the example below. The 2 squares combined are congruent to the rectangular shape. For instance, in the example below, we used two small squares to form a rectangle. We can also demonstrate that we can build a congruent shape using two smaller shapes. With congruent properties, children are able to construct amazing repetitive or symmetrical patterns (stars, wheels, etc…) Using the materials below, it is possible to demonstrate how two shapes that match perfectly are congruent. Their corresponding angles and sides are equal. Two geometric figures with the same size, and same shape are said to be congruent. These characteristics helps them build creative new shapes. In geometry, children come to the conclusion that some materials contain geometric figures of the same size and same shape. Below, you will find more about the ways this material is used in the Montessori Geometry curriculum. Our Wooden Squares and Rectangles material consists of 9 square frames containing variously shaped pieces. At Alison’s Montessori, we designed an economical wooden version of our Metal Squares and Rectangles with Stands. In the elementary level, children are invited to a series of presentations that aim to demonstrate these latter mentioned concepts. Wooden Squares and Rectangles – Wooden Version, No Backing They are implicitly exposed to concepts in geometry such as congruence, similarities, and equivalence. Out of small parts, children explore different ways to build new shapes such as rhombi, hexagons, trapezoids, and parallelograms. They consist of five boxes with various shapes filled with colorful shapes. Perhaps the most impactful material is the set of Constructive Triangles. In the early years of their education, Montessori learners are exposed to an abundance of materials that indirectly refine the mathematical mind formation.
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