Let’s go to the ballet
0 See if you can accurately name all the shapes
Polyhedrons
Polyhedrons
Pyramids Prisms
Pyramids Prisms
Lesson Objectives
0 To understand the differences between platonic
solids, prisms and pyramids
0 To examine the properties...
Polyhedrons
0 Poly = Greek for many
0 Hedron = Greek for face
0 Polyhedron = Many Faces!!
Likely Difficulties
0 Names for 2D figures and 3D objects often get
confused because the beginning of names are
similar…
0...
3D Shape Properties
Platonic Polyhedrons
0 Plato, a Greek philosopher and
mathematician.
0 Worked out that some polyhedrons are identical in
s...
What does that mean?
Platonic Polyhedrons are
Perfect!
0 All vertices are surrounded by the same plane shape.
0 Any face can be the base.
0 The...
Platonic
Solid
Picture
Number
of Faces
Shape of
Faces
Number
of Faces
at Each
Vertex
Number
of
Vertices
Number
of Edges
Un...
Pyramids & Prisms
0 Prisms have two identical, parallel faces joined to one
another by rectangles. Examples are;
Pyramids & Prisms
0 Pyramids have one face with at least 3 edges, the faces
meeting these edges are ALL triangles.
0 NOTE:...
Other 3D shapes
Activity!
0 You will be given some examples of 3D shapes
0 Name the shapes you have been given
0 With your elbow partner, ...
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Polyhedrons prisms and pyramids

An overview of the properties of polyhedrons, prisms and pyramids
Published on: Mar 4, 2016
Published in: Education      Technology      Art & Photos      
Source: www.slideshare.net


Transcripts - Polyhedrons prisms and pyramids

  • 1. Let’s go to the ballet 0 See if you can accurately name all the shapes
  • 2. Polyhedrons Polyhedrons Pyramids Prisms Pyramids Prisms
  • 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
  • 6. 3D Shape Properties
  • 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?