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Geometric Polyhedra Lesson

Posted on Aug 7, 2014 by Dawnette Brenner
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Polyhedra Net

A common core aligned geometry lesson curated and altered to support 21st century learning skills. Students will learn first about calculating the surface area of a polyhedra (they should have been exposed to this concept prior to this lesson but not completely necessary) and then draw and create a "net." Students will identify using key vocabulary, the necessary parts of the polyhedra and manipulate several virtual nets and shapes. Students will work in teams to create several paper versions of geometric shapes and finally after watching tutorials, make one in the Adobe product of their choice. Students will finalize their lesson and display their understanding of polyhedra in a final written essay, which should include a picture of their finished polyhedra.

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How to Make a Net

Additional Information

Custom Standards
CMD.4 - Identify the shapes of 2D cross-sections of 3D objects and identify 3D objects generated by rotations of two dimensional objects. MG.3 - Apply geometric methods to solve design problems. ELA CCS RST.9-10.1 Cite specific textual evidence to support analysis of objects given precise details of description. WHST.9-10.2d - Write informative/explanatory text, including the narration of technical processes. Use precise language and domain-specific vocabulary to manage the complexity of the topic and convey a style appropriate to the discipline and context as well as to the expertise of likely readers. Grade 7: Draw construct, and describe geometrical figures and describe the relationships between them. CCSS.Math.Content.7.G.A.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. High School: Visualize Relationships between two-dimensional and three-dimensional objects. CCSS.Math.Content.HSG-GMD.B.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
ISTE NETS·S Standards
Communication and Collaboration, Creativity and Innovation, Technology Operations and Concepts, Critical Thinking Problem Solving and Decision Making

Computers or laptops with Internet

Adobe Illustrator, Ideas, Photoshop and Digital Publishing Suite (Ideas/Sketch use iPads)

Materials: (Teacher use this site: http://www.senteacher.org/worksheet/12/NetsPolyhedra.html)

1.   4 sheets of the net of a cube

2.   4 sheets of the net of a tetrahedron*

3.   4 sheets of the net of an octahedron*

4.   4 sheets of the net of a dodecahedron

5.   4 sheets of the net of an icosahedron

6.   4 sheets of the net of a cuboctahedron

7.   4 pair scissors

8.   Scotch tape

9.   1 bucket or basket to hold the materials during the project time

Printer for nets above and perhaps to print out essays, unless grading virtually.
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