Zeihen RMHS 605
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Unit Overview:

This unit extends students knowledge of circles from prior units to develop area and circumference formulas, and develop formulas for three-dimensional objects. Students will explain surface area and volume formulas of two- and three-dimensional objects. They will apply the formulas to solve problems. Understand the cross-section of a three-dimensional shape is two-dimensional, and the rotation of a two-dimensional shape about an axis of symmetry is three-dimensional. This unit provides the foundation for geometric probability which is the beginning of the following unit.


Enduring Understanding:
  • Understand that a cross section of a three- dimensional object is a planar figure.

  • Understand that a three- dimensional object can be created from an infinite number of two-dimensional cross sections.

  • Use three- dimensional geometric shapes in modeling.


Essential Questions:
  • What are the volume formulas for a cylinder, pyramid and cone?

  • What is a cross section of a three-dimensional object?

  • How are the components of a cross section related to the components of it’s three- dimensional object?

  • How can cross-sections be used to generate a three-dimensional figure?
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