Search form

Art and Geometry Lesson: 3-D Stellated Rhombic Dodecahedron

EducationWorld partner Cre8time has shared this resource from Ellison, provider of die-cut equipment, supplies and related educational resources.

Subjectdodecahedron

-Math
-Geometry
-Visual Arts

Grade

3-5
6-8
9-12

Brief Description

This creative manipulative will bring geometry to life. Assemble square-based pyramids to create an interactive stellated, rhombic dodecahedron.

Objectives

Students will:

  • Create an intricate shape from a square-based pyramid
  • Reinforce geometry, problem-solving and spatial skills

Keywords

Geometric modeling, spatial reasoning, visualization, three-dimensional, shapes, surface area, net, volume, angles, square pyramid, multiple intelligences

Materials Needed

Products

Alternate products

Supplies

  • Construction paper, double-sided tape, packing tape

 

Lesson Plan

Preparation

Die-cut the materials (24 square-based pyramids) from construction paper or cardstock. Laminating the paper before cutting will make for a longer-lasting project.

Lesson

  1. Fold on the perforations and build 24 pyramids using glue or double-sided tape on the tabs (see above).geometry
  2. Create eight pods of three pyramids each with the top tips together. Reinforce all of the seams with packing tape. (Regular tape will break with repeated bending.)
  3. Arrange the pods in two groups of four with the square pyramid bases flat on the table and flat around the four edges. Tape the two opposite sides (top to bottom) on each group of four (see right).
  4. Pick up two of the pods that have been taped together. Invert or open the seam so that the opposite side of the same (taped) joint is exposed. Tape this (top to bottom) as well. It is recommended that you go back and put a second layer of tape on both sides of this seam to reinforce the connection. Repeat this procedure with the remaining three sections of pods.
  5. Turn the two sets of four pyramid pods over so their bases are on top and flat around the four edges. Each set of four pods has now been taped so that eight pods are connected. Now connect the two eight pod sets by taping the pods together on their bases (see right). This base seam DOES NOT continue around to the seam already reinforced; it hooks the four pods together. Again, invert or open the seams and reinforce the opposite sides. Go back and put a second tape layer on both sides of these two seams.
  6. Turn over again, with the bases down, and tape the two groups together in the center (see below). Turn and tape the inside of these edges (the 7th and 8th connections). The completed project will be secured in eight places. Again, it is recommended that you put a second layer of packing tape (from one end of the seam to the other) on both sides of each joint.
  7. The pyramids should now flip into many configurations including a cube and a stellated rhombic dodecahedron (see photo at the top of this lesson).

 

Assessment

  • For each pyramid, find the surface area and volume, as well as the sum of the angles. Determine the surface area and volume of the dodecahedron.
  • Assemble nets for cones, cylinders, cubes and rectangular prisms for surface area and volume. Challenge students to create dimensional shapes by combining various solids and thinking outside the box.

Lesson Plan Source

Cre8time, through partnership with EducationWorld


Submitted Byspatial skills

EllisonEducation.com


National Standards

MATHEMATICS
Geometry

GRADES 3 - 5
NM-GEO.3-5.1
- Analyze Characteristics and Properties of Two- and Three-Dimensional Geometric Shapes and Develop Mathematical Arguments About Geometric Relationships
NM-GEO.3-5.4 - Use Visualization, Spatial Reasoning, and Geometric Modeling to Solve Problems

GRADES 6 - 8
NM-GEO.6-8.1
- Analyze Characteristics and Properties of Two- and Three-Dimensional Geometric Shapes and Develop Mathematical Arguments About Geometric Relationships
NM-GEO.6-8.4 - Use Visualization, Spatial Reasoning, and Geometric Modeling to Solve Problems

GRADES 9 - 12
NM-GEO.9-12.1
- Analyze Characteristics and Properties of Two- and Three-Dimensional Geometric Shapes and Develop Mathematical Arguments About Geometric Relationships
NM-GEO.9-12.4 - Use Visualization, Spatial Reasoning, and Geometric Modeling to Solve Problems
 

cre8time

Helping individuals reclaim their creativity, the CRE8TIME.org community is a place for sharing and getting inspired. These "quality time" activities for families and classrooms reinforce the value and rewards of crafting.


Education World®             
Copyright © 2013 Education World