Upload
fritzi
View
93
Download
0
Tags:
Embed Size (px)
DESCRIPTION
Solids: Three –Dimensional figures. EQ: How do you identify various three-dimensional figures? . What are three-dimensional figures?. A three-dimensional figure encloses a part of space. In other words it can hold something (water, air, etc.). What is a Polyhedron?. - PowerPoint PPT Presentation
Citation preview
Solids: Three –Dimensional
figuresEQ: How do you identify
various three-dimensional figures?
What are three-dimensional figures?
• A three-dimensional figure encloses a part of space.
• In other words it can hold something (water, air, etc.)
What is a Polyhedron?
A 3-dimensional figure that has polygons as faces
Polygons must have straight lines!
Polyhedrons Not Polyhedrons
Features of a 3-D figure
Faces
EdgeVertex
• Edge- formed by two faces of a 3-D figure sharing a side
• Vertex (plural:vertices)- the point at which three or more edges meet
•Face- the flat surface of a figure
Identify the number of faces, edges, and vertices on each three-dimensional figure.
A.
B.
5 faces8 edges5 vertices
7 faces15 edges10 vertices
Faces + Vertices -2 = Edges
Identify the number of faces, edges, and vertices on each three-dimensional figure.
A.
B.
6 faces12 edges8 vertices
5 faces9 edges6 vertices
Two main types of 3-D Figures
• Prism:– Has at least three
faces that are rectangles
– Has two congruent faces on the top and bottom called bases
– The shape of the base tells what type of prism the figure is
• Pyramid:– Has at least three
faces that are triangles
– Has only one base
– The shape of the base tells what type of pyramid the figure is
Prisms
Rectangular Prism
Pentagonal Prism
Pyramids
Square Pyramid
Triangular Pyramid
Other 3-D Figures
• Cone- is a figure like a pyramid, but has a circular base and a curved surface
Other 3-D Figures
• Cylinder- a curved figure with two circular bases
Other 3-D Figures
• Sphere- a 3-D figure with no faces, bases, edges, or vertices
Cylinder
Triangular Prism
Cube
Square Pyramid
Okay…this last one is hard…Ready??
Pentagonal Pyramid
What is a net?
A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides.
Identify what shape will be made from the following nets.1. 2.
ANSWERS
A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides.
Identify what shape will be made from the following nets.1. Triangular Pyramid 2. Cube
NetsIdentify what shape will be made from
the following nets. A net is a two-dimensional (flat) representation of a
three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides.
Identify what shape will be made from the following nets.
1. 2. 3. 4.
ANSWERS
A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides.
Identify what shape will be made from the following nets.
1. 2. 3. 3. 4.
cylinder square pyramid cone triangular prism
Identify what shape will be made from the following nets.
1. 2. 3.
Identify what shape will be made from the following nets.
1. 2. 3. rectangular prism cylinder triangular prism
Cube or Not?
http://illuminations.nctm.org/Activity.aspx?id=3544
Summary
How are 3D shapes classified?
What is a net?