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:
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 | |