Fun with Pyramids By D. Fisher This activity can be done with powerpoint only, but it is much better if the students practice with paper pyramids or models made of drinking straws, etc. Besides learning the names of various pyramids students can practice “algebraic reasoning.” They can generate sequences and make predictions about patterns. Enjoy this presentation. Send feedback and suggestions to Don Fisher: fisher_d@madera.k12.ca.us By D. Fisher

Vertices (points) 4 Edges (lines) 6 Faces (planes) 4 Triangular Pyramid Vertices (points) 4 Edges (lines) 6 Faces (planes) 4 The base has 3 sides.

Vertices (points) The base has sides. 4 5 Edges (lines) 8 Square Pyramid Vertices (points) The base has sides. 4 5 Edges (lines) 8 Faces (planes) 5

Vertices (points) The base has sides. 5 6 Edges (lines) 10 Pentagonal Pyramid Vertices (points) The base has sides. 5 6 Edges (lines) 10 Faces (planes) 6

Vertices (points) The base has sides. 6 7 Edges (lines) 12 Hexagonal Pyramid Vertices (points) The base has sides. 6 7 Edges (lines) 12 Faces (planes) 7

Vertices (points) The base has sides. 8 9 Edges (lines) 16 Octagonal Pyramid Vertices (points) The base has sides. 8 9 Edges (lines) 16 Faces (planes) 9

Name Picture Base Vertices Edges Faces Triangular Pyramid Square Pyramid Pentagonal Pyramid Hexagonal Pyramid Heptagonal Pyramid Octagonal Pyramid 3 4 6 4 4 5 8 5 5 6 10 6 6 7 12 7 Draw it 7 8 14 8 8 9 16 9 No picture n n + 1 2n n + 1 Any Pyramid