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Nets

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**Nets A net is a pattern that you cut out and fold to form**

a 3 - dimensional figure.

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

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

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**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

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**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.

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**Nets for Pyramids have one base and lots of triangles. **

Sometimes they look like stars. triangles base base

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

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

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**What solid will this net form?**

Triangular Prism What solid will this net form?

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**Square or Rectangular Prism**

What solid will this net form?

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**Square or Rectangular Pyramid**

What solid will this net form?

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**What solid will this net form?**

Triangular Pyramid What solid will this net form?

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**End of Day 1 Cube Activity**

STOP!! End of Day 1 Cube Activity

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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:

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

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

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

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

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

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**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!

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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:

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**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

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

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

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

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**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!

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**End of Day 2 Prism & Pyramid Activity**

STOP!! End of Day 2 Prism & Pyramid Activity

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Special 3-D Shapes Cylinder Sphere Cone

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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.

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**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).

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**Cylinder A prism with two congruent, parallel faces called bases.**

A cylinder has 2 faces (circular bases), edges and no vertices.

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**End of Day 3 Cone & Cylinder Activity**

STOP!! End of Day 3 Cone & Cylinder Activity

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