# Geometry Construction: Polyhedral Playthings

### Source Institutions

Community Science Workshop Network

In this activity, learners create 3D geometric shapes using straws and pipe cleaners. Learners will discover that only certain combinations of two-dimensional shapes make polyhedrons, or regular three-dimensional shapes. This lesson guide includes step-by-step instructions with photos and various methods for constructing a variety of shapes. Learners can make elaborate shapes including: stellated dodecahedron; stellated cube; and stellated tetrahedron.

### Quick Guide

Preparation Time:
5 to 10 minutes

Learning Time:
1 to 2 hours

Estimated Materials Cost:
\$1 - \$5 per student

Age Range:
Ages 8 - 18

Resource Types:
Activity, Lesson/Lesson Plan, Model

Language:
English

### Materials List (per student)

• Lots of straw pieces of identical length - 30 or so for each large polyhedron (Transparent straws show colors nicely)
• Lots of pipe cleaners - 10 or so for each polyhedron
• Colored string to hang polyhedrons
• Side cutters
• Scissors
• Needle-nose pliers

### Subjects

• Mathematics
• Geometry
• Plane Geometry
• Solid Geometry
• Problem Solving
• The Nature of Science
• The Scientific Process
• Conducting Investigations

### Informal Categories

• Arts and Crafts
• Model Building
• Toys

### Audience

• see
• touch

#### Learning styles supported:

• Involves hands-on or lab activities

### Other

#### Common Core State Standards for Mathematics:

• CCSS.Math.Content.HSG-CO.D.12: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.(more info about this benchmark)

• Free access

#### By:

• Watsonville Environmental Science Workshop