CLASSIFICATION OF PYRAMIDS
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CLASSIFICATION OF PYRAMIDS
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A discussion question: Which of the solids in the picture is a polyhedron? How is a polyhedron defined? Explain.
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Polyhedra are three-dimensional objects made of polygons.
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Answer: Polyhedra are three-dimensional objects made of polygons. Only A solids are polyhedra if we can see all the polygon faces of the solids.
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A-only if we can see all the faces of the solids.
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Each pupil chooses 5 sheets of origami paper.
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Folding instructions: Fold opposite parallel sides of all sheets.The folds should be exact.
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All effort must be made to make these fold exactly. The process of folding should be done slowly.
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Folding instructions: Mark 2 opposite vertices as shown on all of the folded sheets.
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Folding instructions: Put all of the folded sheets onto each other and check that they are all marked in the same way.
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Folding instructions: Fold opposite vertices as shown on all of the rectangular shapes.
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Folding instructions: Put all of the folded sheets onto each other and check that they are all marked in the same way and direction.
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Folding instructions: Fold a triangle as shown and open the fold.
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Folding instructions: Turn over the shape.
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Folding instructions:Fold a triangle as shown and open the fold.
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Folding instructions: Place the folded and opened triangle inside as shown.
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Folding instructions: Fold the marked triangle into the pocket.
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Folding instructions:Fold the marked triangle into the pocket as shown.
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Folding instructions:Fold the marked triangle into the pocket as shown.
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A discussion question: What type of pyramid has been made after joining the three shapes?
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Answer: We have made the envelope of a triangular pyramid with three congruent triangles meeting at a common vertex.
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A discussion question: Look at the envelope. What shape should be added in order to complete the pyramid?
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Answer: The shape to be added is a triangle and it is named the base of this pyramid.
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All sides of the pyramid can be named as a base of the pyramid.
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A discussion question: What is the number of vertices of the triangular pyramid? Explain.
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It should be pointed out that the pupils have folded the envelope of a triangular pyramid and without the addition of another side it is not a pyramid.
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Answer: The triangular pyramid has 4 vertices.
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A discussion question: How many edges are there on a triangular pyramid? Explain.
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The sides of polyhedra are called edges.
Faces, Edges, and Vertices identify polyhedra.
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Answer: There are 6 edges.
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A discussion question: How many faces are there on a triangular pyramid? Explain.
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Answer: A triangular pyramid has 4 faces.
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A group activity: Using additional folded shapes make the envelopes of other pyramids.
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We can make the envelope of a pyramid with 4 folded shapes.
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This envelope is the envelope of a square pyramid.The base of a square pyramid is a square.
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Using the same folding instructions it is possible to make pentagonal and hexagonal pyramid envelopes.
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An envelope of a pentagonal pyramid has been made.
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Adding the pentagonal base to the envelope we have a pentagonal pyramid named after the base.
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A group activity: Make a list of the number of all the faces,edges and vertices of a pentagonal pyramid.
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A worksheet is attached.
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A discussion question: Mayans built pyramids. Is the picture shown a pyramid? Explain.
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Answer: The shape in Mexico shown in the picture is in the shape of a pyramid but it is not a geometrical pyramid.
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A discussion question: Which of the two pictures show a geometrical pyramid?
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Answer: Only the B picture represents a true geometrical pyramid because all the face have a common vertex.
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The B picture shows a square pyramid.
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- Lesson Aims
- Investigating pyramids.
- Investigating the faces,edges and vertices of pyramids.
- Folding envelopes of pyramids.
- Name of Model
Envelopes of triangular,square and pentagonal pyramids.
- Lesson Structure
According to curriculum.
- Lesson Content
Folding and assembling envelopes of triangular,square and pentagonal pyramids.Listing faces,edges and vertices of pyramids.
- Prior Knowledge
Quadrilaterals and polygons.
- Materials
5 origami sheets 15cm x15 cm.
Worksheet on the subject of pyramids
