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:
Essential Questions:
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?