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3D Shapes
The Study of Solid Geometry
Geometry Outline | MathBitsNotebook.com | MathBits' Teacher Resources

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blacktriangle indicates compatibility to NY Next Generation Math Standards (NGMS)
(NGMS emphasis on volume of cylinders, pyramids, cones, spheres, formula arguments, plane sections, rotations.)
LESSONS:
* calculator link
P O L Y H E D R O N S
Polyhedrons (solid geometry, polyhedrons, platonic solids, non-polyhedrons)
 
 

Prisms (refresh, volume, justification of volume formula, surface area)
Pyramids (refresh, volume, justifications of volume formula, surface area, frustrum)

N O N - P O L Y H E D R O N S
Cylinders (refresh, volume, justifications of volume formula, surface area,)
Cones (refresh, volume, justifications of volume formula, surface area, frustrum)
Spheres and Hemispheres (refresh, volume, justifications of volume formula, surface area)

R E F E R E N C E
Reference: 3D: Comparison of Volume Formulas

M O R E      A B O U T      W O R K I N G      I N      3 - D
 

Cross Section = Plane Sections (refresh, slicing info, examples)

Cavalieri's Principle (in 2D and in 3D)
 

 

 

Note: More resources relating to 3-D shapes can be found in the Modeling section.



PRACTICE:
Practice with Prisms and Cylinders (volume, cross sections, surface ares)
Practice with Pyramids and Cones (volume, cross sections, surface area)
Practice with Spheres and Hemispheres (volume, cross sections, surface area)

Practice with Applied Problems (working with properties, volume, and reasoning)

Practice with 3-D Cross Sections (refresh, identify shape, areas)

Practice with Cavalieri's Principle (interpretation, application, volume)
 

Practice with Orthographic Projections (determine views, interpret, match)  

Practice with Lines and Planes (interpret statements, determine | | or ⊥)