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A rural community plans to develop a
self-sufficient community. Part of this community will include a
business district. Each of the farmers has donated land and rearranged
their boundaries so that they have
an area set aside for the business district.
They plan to have 10
buildings, each representing a different
occupation to insure a self-sufficient society. You have been hired as the
city planner to design the layout of
their future community.
Your task is to make a picture model of the
business district. The model you draw
is to be drawn using a scale such that the total area for the business
district is 400 square meters and each
of the buildings has the following areas:
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Building 1 25 square meters Building 6 40 square meters
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Building 2 16 square meters Building 7 36 square meters
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Building 3 18 square meters Building 8 9 square meters
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Building 4 20 square meters Building 9 60 square meters
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Building 5 12 square meters Building 10 64 square meters
Draw your model on centimeter graph paper, letting each square centimeter
represent 1 square meter of
area.
Label your diagram with the scale dimensions of the entire business
district and of each building.
Also, give each building a name which identifies what occupation it
represents.
In your math journal, write a brief description of the steps you took to
complete the task. Explain why you
feel this is a self-sufficient community.
Note to teacher: For an extension of this activity, you may want to have
students do any of the following:
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construct a three dimensional model of the planned business district
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identify a scale used for the model and have the students compute all
real dimensions and areas
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have the students plan the non-building areas; this could involve
horticulture, sidewalks, perimeter, etc.
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have students hypothesize as to what population could be supported by
this community
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discuss economics within the planned community
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