Intro: Tetrahedron Platonic SolidDiscover the tetrahedron, 1 of the 5 Platonic solids that have intrigued mathematicians, architects, and philosophers for thousands of years. This three-dimensional shape is formed by only 4 equilateral triangles. Learn to build this basic 3D shape as a starting point for many more future projects. | | | |
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| | Facilitators set the groundwork for students to understand the purpose and components of the project with a well-defined set of learning objectives. By delving into the lesson's fundamentals, students gain the confidence and insight to craft their unique renditions of the project. | | | | Equip students for before starting the lesson by familiarizing them with frequently used vocabulary words, enhancing their writing skills, and engaging in constructive building exercises. | | | | Learn about the properties of the tetrahedron as one of the Platonic solids. | Common Core Mathematics
For CCSS.MATH.CONTENT.2.G.A.1 introduce your students to the featured platonic solid. Explain that shapes like this one are called Platonic solids because they have regular, congruent polygons as faces. Encourage them to recognize and draw shapes with specified attributes. Can they identify triangles, quadrilaterals, pentagons, hexagons, and cubes?
Platonic Solids List (bold is the featured shape in this lesson):
- Tetrahedron: A tetrahedron is a three-dimensional geometric shape with four faces, and each face is an equilateral triangle. It has four vertices and six edges.
- Hexahedron (Cube): The hexahedron, often referred to as a cube, is characterized by having six square faces. It has eight vertices and twelve edges.
- Octahedron: An octahedron is a polyhedron with eight faces, and each face is an equilateral triangle. It has six vertices and twelve edges.
- Dodecahedron: The dodecahedron has twelve regular pentagonal faces. It features twenty vertices and thirty edges.
- Icosahedron: An icosahedron is a three-dimensional shape composed of twenty equilateral triangle faces. It has twelve vertices and thirty edges.
Florida - NGSSS
For MA.2.GR.1.1 - MATHEMATICS (B.E.S.T.) use the featured platonic soild as an example to help your students understand two-dimensional figures and lines of symmetry. Compare with a simple Platonic solid like a tetrahedron, made of four equilateral triangles. Even though we're talking about 3D shapes, the featured platonic solid can help understand students understand 2D concepts.
Platonic Solids List (bold is the featured shape in this lesson):
- Tetrahedron: A tetrahedron is a three-dimensional geometric shape with four faces, and each face is an equilateral triangle. It has four vertices and six edges.
- Hexahedron (Cube): The hexahedron, often referred to as a cube, is characterized by having six square faces. It has eight vertices and twelve edges.
- Octahedron: An octahedron is a polyhedron with eight faces, and each face is an equilateral triangle. It has six vertices and twelve edges.
- Dodecahedron: The dodecahedron has twelve regular pentagonal faces. It features twenty vertices and thirty edges.
- Icosahedron: An icosahedron is a three-dimensional shape composed of twenty equilateral triangle faces. It has twelve vertices and thirty edges.
| | | Build a tetrahedron with 4 triangular faces. | |
Common Core Mathematics | |
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CCSS.Math.Content.2.G.A.1
Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. | Incorporating STEAM elements, second graders can blend artistic creativity with the precision of mathematics. By drawing or crafting shapes with specific attributes, learners immerse in hands-on experiences, recognizing and reinforcing the properties of shapes. By exploring tangible models, be it through clay or paper, the concepts of angles and faces are deeply understood, cementing foundational geometry knowledge. |
ISTE Students | |
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1.6.c Creative Communicator
Students communicate complex ideas clearly and effectively by creating or using a variety of digital objects such as visualizations, models or simulations. | Introduce students to a variety of digital tools and media that can enhance their communication. This could include graphic design software, multimedia creation tools, video editing software, or presentation platforms. Help students choose the appropriate tools based on their communication goals and the requirements of their project. |
Florida - NGSSS | |
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MA.2.GR.1.1
Identify and draw two-dimensional figures based on their defining attributes. Figures are limited to triangles, rectangles, squares, pentagons, hexagons and octagons. | Construct hands-on models of two-dimensional figures like triangles, rectangles, squares, pentagons, hexagons, and octagons. By manipulating craft materials and tools, better grasp the defining attributes of each shape, subsequently capturing the essence of each figure in tangible form. |
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