1. Nets

2. Nets A net is a pattern that you cut out and fold to form
a 3 - dimensional figure.

3. Vocabulary Terms
A cube is a prism with six congruent faces.
Face

4. Vocabulary Terms
An edge is a segment where two faces meet.
Edge

5. Vertex Vocabulary Terms
A vertex is a point where two sides of a polyhedron meet or a point opposite the base of a cone.
Vertex

6. There are exactly eleven nets that will form a cube.
How many nets do you think you can come up with to form a cube?
There are exactly eleven nets that will form a cube.

8. Nets for Pyramids have one base and lots of triangles.
Sometimes they look like stars.
triangles
base
base

9. Are these nets lined up with the right 3-D shape?

10. Are these nets lined up with the right 3-D shape?

11. What solid will this net form?
Triangular Prism
What solid will this net form?

12. Square or Rectangular Prism
What solid will this net form?

13. Square or Rectangular Pyramid
What solid will this net form?

14. What solid will this net form?
Triangular Pyramid
What solid will this net form?

15. End of Day 1 Cube Activity
STOP!!
End of Day 1 Cube Activity

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

17. Vocabulary Terms
FACE
Prism – a A cylinder with polygons for bases (faces). All prisms are special cases of cylinders.
FACE

18. Vocabulary Terms
BASE
In a prism, these faces are called bases. You name a prism by the shape of its bases.
BASE

19. Triangular Prism
Vertices 6
Edges 9
Faces 5
The base has 3 sides.

20. Rectangular Prism
The base has 4 sides.
Vertices 8
Edges 12
Faces 6

21. Pentagonal Prism
The base has 5 sides.
Vertices 10
Edges 15
Faces 7

22. Make sure to fill in your chart correctly!
Name Picture Base Vertices Edges Faces
Triangular Prism
Rectangular Prism
Pentagonal Prism 3 6 9 5 4 8 12 6 5 10 15 7 n 2n 3n
n + 2
Any Prism
Make sure to fill in your chart correctly!

23. Fun with
Pyramids
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:

24. A pyramid is a cone with a polygon for a base
A pyramid is a cone with a polygon for a base. All faces joining the vertex are triangles. They are named by the shape of the base.
vertex
vertex
vertex
base
base
base

25. Triangular Pyramid
Vertices 4
Edges 6
Faces
The base has 3 sides. 4

26. Square Pyramid
The base has 4 sides.
Vertices 5
Edges 8
Faces 5

27. Pentagonal Pyramid
Vertices
The base has 5 sides. 6
Edges 10
Faces 6

28. Make sure to fill in your chart correctly!
Name Picture Base Vertices Edges Faces
Triangular Pyramid
Square Pyramid
Pentagonal Pyramid 3 4 6 4 4 5 8 5 5 6 10 6
Any Pyramid n
n + 1 2n
n + 1
Make sure to fill in your chart correctly!

29. End of Day 2 Prism & Pyramid Activity
STOP!!
End of Day 2 Prism & Pyramid Activity

30. Special 3-D Shapes
Cylinder
Sphere
Cone

31. Sphere
Every point on the surface of the sphere is the same distance from the center
The normal definitions of faces, edges and vertices are not appropriate for a sphere.

32. Cone The vertex of the cone is opposite the circular base of a cone.
The cone has a face, a vertex, and an edge (formed by the base and the lateral face).

33. Cylinder A prism with two congruent, parallel faces called bases.
A cylinder has 2 faces (circular bases), edges and no vertices.

34. End of Day 3 Cone & Cylinder Activity
STOP!!
End of Day 3 Cone & Cylinder Activity