Polyhedrons prisms and pyramids
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This document provides information about polyhedrons and their properties. It defines polyhedrons as shapes with many faces and discusses platonic solids, prisms, and pyramids. The key points are: - There are 5 platonic solids which are perfectly symmetrical shapes made of identical faces, edges, and vertices. They include the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. - Prisms have two identical parallel faces joined by rectangles, while pyramids have a face with at least 3 edges and all other faces are triangles shaped by those edges. - An activity asks students to identify 3D shapes, draw their nets, construct the shapes from the
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This document discusses 3D shapes, including their key characteristics of having three dimensions of height, width, and length. It describes the main parts of 3D shapes as prisms, which have two equal polygon bases and parallelogram faces, and pyramids, which have one polygon base and triangular faces meeting at a common vertex. The document also mentions other types of 3D shapes like polyhedrons with regular polygon faces and curved 3D shapes, and how nets can be used to form 3D shapes by folding and gluing.
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The document discusses visualizing solid figures through identifying their key characteristics such as number of faces, edges, and vertices. It provides examples of different plane and solid figures, describing properties like spheres having one curved face and no edges or vertices, while cubes have six square faces, eight vertices and twelve edges. The document also contrasts polyhedrons which have flat surfaces from solids like spheres with curved surfaces. Students are asked questions to test their understanding of classifying shapes based on these dimensional and geometric properties.
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The document introduces several common 3D shapes including cones, pyramids, cylinders, cubes, rectangular prisms, and triangular pyramids. It describes the key characteristics of each shape such as the number of faces, edges, and vertices. The document then provides examples of identifying different 3D shapes and concludes by stating that all 3D shapes are called polyhedra or polyhedras.
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The document introduces several common 3D shapes including cones, pyramids, cylinders, cubes, rectangular prisms, and triangular pyramids. It describes the key characteristics of each shape such as the number of faces, edges, and vertices. The document then provides examples of identifying different 3D shapes and concludes by stating that all 3D shapes are called polyhedra or polyhedras.
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The document introduces several common 3D shapes including cones, pyramids, cylinders, cubes, rectangular prisms, and triangular pyramids. It describes the key characteristics of each shape such as the number of faces, edges, and vertices. The document then provides examples of identifying different 3D shapes and concludes by stating that all 3D shapes are called polyhedra or polyhedras.
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The document introduces several common 3D shapes including cones, pyramids, cylinders, cubes, rectangular prisms, and triangular pyramids. It describes the key characteristics of each shape such as the number of faces, edges, and vertices. The document quizzes the reader on identifying each shape based on images and their defining geometric properties. It concludes by stating that all 3D shapes are called polyhedra.
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The document introduces several common 3D shapes including cones, pyramids, cylinders, cubes, rectangular prisms, and triangular pyramids. It describes the key characteristics of each shape such as the number of faces, edges, and vertices. The document then provides examples of identifying different 3D shapes and concludes by stating that all 3D shapes are called polyhedra or polyhedras.
FS Maths Level 2 - April 22, 2023 (Nets, 3D shapes surface area and volume 1).
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Polyhedrons prisms and pyramids
- 1. Let’s go to the ballet 0 See if you can accurately name all the shapes
- 3. Lesson Objectives 0 To understand the differences between platonic solids, prisms and pyramids 0 To examine the properties of polyhedrons 0 To develop your own NET shapes using 3D shapes provided
- 4. Polyhedrons 0 Poly = Greek for many 0 Hedron = Greek for face 0 Polyhedron = Many Faces!!
- 5. Likely Difficulties 0 Names for 2D figures and 3D objects often get confused because the beginning of names are similar… 0 Dodecagon = 12 sided 2D shape 0 Dodecahedron = 3D 12 sided regular pentagon
- 7. Platonic Polyhedrons 0 Plato, a Greek philosopher and mathematician. 0 Worked out that some polyhedrons are identical in shape and size. 0 Edges = Same length 0 Angles = Same size 0 Vertices = Identical
- 8. What does that mean?
- 9. Platonic Polyhedrons are Perfect! 0 All vertices are surrounded by the same plane shape. 0 Any face can be the base. 0 They are beautifully symmetrical. 0 Only five of them exist!
- 10. Platonic Solid Picture Number of Faces Shape of Faces Number of Faces at Each Vertex Number of Vertices Number of Edges Unfolded Polyhedron (Net) Tetrahedron 4 Equilateral Triangle (3-sided) 3 4 6 Cube 6 Square (4-sided) 3 8 12 Octahedron 8 Equilateral Triangle (3-sided) 4 6 12 Dodecahedron 12 Regular Pentagon (5-sided) 3 20 30 Icosahedron 20 Equilateral Triangle (3-sided) 5 12 30
- 11. Pyramids & Prisms 0 Prisms have two identical, parallel faces joined to one another by rectangles. Examples are;
- 12. Pyramids & Prisms 0 Pyramids have one face with at least 3 edges, the faces meeting these edges are ALL triangles. 0 NOTE: Pyramids get their name from the shape of their base 0 There are many more pyramids than these ones shown
- 13. Other 3D shapes
- 14. Activity! 0 You will be given some examples of 3D shapes 0 Name the shapes you have been given 0 With your elbow partner, use the graph paper provided to draw a NET of the shapes you have been given 0 Cut out the Nets you have drawn and see if they can be made into the original 3D shapes (you might want to leave a lip on some sides so you can glue it together) 0 Did you get it right? If not, what do you need to change to make it correct?
Editor's Notes
- Note: Get the students to name shapes at the end of the video – lasts for 1 minute 38 seconds
- NOTE: 2D figures have sides – 3D objects have faces and edges – a corner is called a vertex
- NOTE: students could copy this down or it can be printed from the associated document
- EXTENSION: Give students four cubes and ask them to draw a net shape for this cube combination using the least amount of paper and without making nets of four separate cubes and sticking them together. (cube combo – 3 cubes on base and one cube on top of middle base cube)