3.11 Surface Area and Volume
The Polyhedron
I.SectionObjectives
- Identify polyhedral.
- Understand the properties of polyhedral.
- Use Euler’s formula to solve problems.
- Identify regular (Platonic) polyhedral.
II.Cross-curricular-CubicHouses
- Use the following image from the Wikipedia website.
- This is Figure 11.01.01
- http://www.en.wikipedia.org/wiki/File:Rotterdam_Cube_House.jpg
- Use the image of the cubic houses to conduct a discussion with the students about the different parts of the
polyhedron. - Students should be able to identify some of the edges, the vertices and the faces of the cubes.
- Have the students identify what is unique about these houses.
- Brainstorm a list and write them on the board.
- When finished, have the students move on to drawing their own design of a cubic house.
- Have them label the faces, edges and vertices of their house design.
III.TechnologyIntegration
- Have students select one specific polyhedron to research.
- Then have them research this polyhedron as it is connected to a theme such as photography, architecture or
nature. - Ask the students to keep track of the websites that they visit.
- Have the students take notes on where and how they discover their specific solid.
- Then have them share their findings in small groups.
IV.NotesonAssessment
- Assess student work through their house design.
- Did the students identify the faces, edges and vertices?
- Were the students creative in their design?
- Also look at the technology integration section.
- Did the students find examples of their solid according to theme?
- Were any of the results surprising?
- Assess student understanding through their sharing.
Chapter 3. Geometry TE - Enrichment