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Solids: Three –Dimensional figures
EQ: How do you identify various three-dimensional figures? How do you distinguish between prisms and pyramids?
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What are three-dimensional figures?
A three-dimensional figure encloses a part of space. In other words it can hold something (water, air, etc.)
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Features of a 3-D figure Face- the flat surface of a figure
Vertex Edge Edge- formed by two faces of a 3-D figure sharing a side Faces Vertex (plural:vertices)- the point at which three or more edges meet
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Identify the number of faces, edges, and vertices on each three-dimensional figure.
Faces + Vertices -2 = Edges 5 faces 8 edges 5 vertices 7 faces 15 edges 10 vertices
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Identify the number of faces, edges, and vertices on each three-dimensional figure.
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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
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Prisms Rectangular Prism Pentagonal Prism
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Pyramids Square Pyramid Triangular Pyramid
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Other 3-D Figures Cone- is a figure like a pyramid, but has a circular base and a curved surface
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Other 3-D Figures Cylinder- a curved figure with two circular bases
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Other 3-D Figures Sphere- a 3-D figure with no faces, bases, edges, or vertices
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Let’s Play Name that Figure!
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Cylinder
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Triangular Prism
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Cube
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Square Pyramid
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Okay…this last one is hard…Ready??
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Pentagonal Pyramid
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Polyhedron A 3-dimensional figure that has polygons as faces
Polygons must have straight lines! Polyhedrons Not Polyhedrons
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