4.11 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.MultipleIntelligences
- Teach the material in this lesson, and then differentiate it by having the students work in groups to test out
Euler’s formula. - Provide the students with actual solids or with diagrams of different polyhedral.
- The students need to use the solids or diagrams to label each polyhedra and to come up with a way to
demonstrate how Euler’s formula works. - Allow students time to choose one solid that they are going to use for their “teaching” session.
- When students are finished preparing, allow time for them to teach the other students in the class how Euler’s
formula works. - They need to be clear on the number of faces, edges and vertices of their solid.
- Allow time for the students to answer questions.
- Provide feedback to the students.
- Intelligences- linguistic, logical- mathematical, visual- spatial, bodily- kinesthetic, interpersonal, intrapersonal
III.SpecialNeeds/Modifications
- Provide students with notes on polyhedrons.
- Polyhedrons
- 3D
- Made of polygons and only polygons- faces
- Polygons join at the edges.
- Edges meet in points called vertices.
- No gaps between them.
- Review the definition of a polygon.
- Write out Euler’s Formula.
IV.AlternativeAssessment
- Pay close attention to the teaching session.
- Do the students prove Euler’s formula or simply state reasons.
- Ask questions and stretch the students to really demonstrate how Euler’s formula works and makes sense.
Chapter 4. Geometry TE - Differentiated Instruction