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3D Shapes

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Holly Banwarth

on 21 February 2013

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Transcript of 3D Shapes

Naming 3D shapes There are two ways to name shapes. Properties of 3
Dimensional Shapes Academic Standard Prisms, Pyramids, and Platonic Solids Prisms Prisms Can you find a pattern? Euler's Formula For all Pyramids and Prisms you can use this formula to find missing pieces of information 3 Dimensional shapes contain a length width and height. When dealing with 3D shapes we care about Name
Faces Verticies
Edges using their base and type of shape
using the number of faces + "hedron" Prefixes three: tri
four: quad/tetra
five: penta
six: hexa
seven: septa/hepta
eight: octa nine: nona
ten: deca
eleven: undeca/hendeca
twelve: dodeca
twenty: icosa This shape could be called a Triangular Prism or a Pentahedron Name that Shape! Pyramids Platonic Solids Shapes that contain two congruent, parallel bases and the other faces are parallelograms. Shapes that contain a base with triangular faces meeting at a point. Shapes made up of all congruent faces Pyramids Can you find a pattern? V + F = E + 2 Does this equation work for Platonic Solids too? Platonic Solids So... Did Euler's Formula work? Use properties of polygons— including quadrilaterals and regular polygons— to define them, classify them, solve problems and logically justify results. Learning Objectives The student should be able to
1. name a 3D shape using both methods of naming.
2. tell the difference between Prisms, Pyramids, and Platonic Solids.
3. use the properties off Pyramids and Prisms to solve for missing information
4. use Euler's Formula to solve for missing
information Ms. Holly's 10th Grade Geometry Class Monday November 3rd Assignment Resources http://www.mathsisfun.com/geometry/eulers-formula.html
My class notes from EDUC 4226: Geometry For Teachers in Grades 5-8, Dr. Kay Wohlhuter Due: End of Class Today http://teacherweb.com/MN/UMD-Spring2013-Educ5413/HollyB/response1.aspx
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