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Geodesic Domes and Sheltering Structures

INTEGRATED SCIENCE, MATH AND TECHNOLOGY ACTIVITIES:

The following is an example of an integrated activity to show the possible SMT connections to the above challenges.

Using the following equation, calculate the height of the dome at different scales (full size, half size. quarter size, 1/8th, etc. Calculate proportions for each of the activities, whether small or large scale.

Height of Dome = 1/3 length of a triangle?s side x 5

example:     Height dome 1/3            (130 cm) x 5

Height dome = 216.70 cm

The dome of the size in the above example equation will accommodate six to eight students, plus the Star \machine. Smaller icosahedrons may be constructed for other applications.

Method of constructing an Equilateral Triangle:

Equilateral Triangle Begin with selected Base Line AB (Note that AB is the length of a triangle?s side in the above equation)

Place compass point on A and the pencil point on B; draw a vertical arc.

Place compass point on B and the pencil point on A; draw a second vertical arc.

The point where the two arcs intersect is point C or the third corner of the Equilateral Triangle.

Connect points A to C and B to C.

PROBLEM SOLVING PROCESS:

These steps may be helpful to students in approaching their activity:

  • Form cooperative groups (2 to 3 people)
  • Brainstorm for ideas
  • Sketch possible solutions
  • Decide how to build and finish the project
  • Decide on and gather materials
  • Construct your design
  • Test your design
  • Present your design

RESOURCES:

The intended challenges were designed to be open-ended and flexible to accommodate a wide range of learning levels. Please feel free to incorporate additional material(s) to enhance each lesson. The categories of Exploratory, Intermediate, and Advanced provide a context in which students can understand the social and personal meaning of each challenge.  Creative anticipatory sets may be included to introduce each challenge.

Additional materials may be found at the following locations:

  • "Building: From Caves to Skyscrapers" Salvadori, M: McGraw Hill Book Company
  • "Why Buildings Stand Up" Salvadori, M: Athenium
  • "Habitats Tomorrow" Cornish, E. World Future Society
  • "Star Domes in the Making," Science Scope, September 1994.

PROPOSED CURRICULUM STANDARDS CONNECTIONS:

The following Curriculum/Standards Connections for grades 5-8 are intended to aid in the use and assessment of the design challenge projects.  NOTE: These connections have been extracted from the National Standards.  You should check their correlation with your own State Curriculum Standards to ensure consistency with your curriculum goals.

Note on Assessment:  We strongly recommend using the Student Reflection Sheet and the Rubric provided in the Appendix to enhance the learning process, by encouraging student awareness and participation in the assessment of their work.  These tools can help students to understand the context, meaning, and value of undertaking these challenges.

Science Content Standards

Standards for School Mathematics

Standards for Design and Technology

Science as Inquiry
- inquiry into wind energy and  its applications

Physical Science
Motion and Forces

- application of motion and force to wind machines

Transfer of Energy
- conversion of energy into different forms

Life Science

Earth and Space Science

Earth in the solar system
- nature of weather and the operation of  wind  as source of natural energy

Science and Technology:
Understanding about science and technology

- applications of  wind  as alternative energy source

Science in Personal and Social Perspectives:
Populations, resources, and environments

- reducing pollution through the use of renewable energy

Risks and benefits
- benefits and problems of using wind energy

History and Nature of Science
Science as human endeavor

- extending scientific knowledge through technological applications

Mathematics as problem solving

Mathematics as communication

Mathematics as reasoning

Mathematical connections
- applying math to real problems in science and technology

Number and number relationships

Number systems and number theory

Computation and estimation

Patterns and functions

Algebra
- application of power and efficiency formulae

Statistics
- graphing comparison of input and output of windmill

Probability

Geometry
- use of geometry in the design and development of blades and sails of windmills

Measurement
- use of measuring tools for building models and for determining the power input/output of windmills

Design
- improvement of selected aspects of  wind machines (blades, propellers, sails)

Develop and produce products and systems
- building of operating historical models
- windmills as machines and systems

Use and manage technology
- research and inquiry via the internet and other sources
- use of tools and machines in the building of the models

Assess the impacts and consequences of technology
- impact of technological  innovations on development of cities and industry

Nature and history of technology
- evolution of technology and its role in human and social development
- evolution of technology based on availability of materials (diversity of wind machines, world-wide)

Connections
- integration of science, math and technology in the development of inventions and innovations


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