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Geometry in Architecture

INTRODUCTION:

In the world around you, geometry plays an integral role.  You see examples of geometry in architecture and different structures everyday. You work for a travel agency and have a client who is very interested in architecture.  Your job is to create a customized travel guide for your client, locating and understanding different types of architecture found in major US and world cities.  Your travel agency will face some architectural and geometric challenges.  Have fun planning your travel guide.  Be sure to stay on task.

 

TASK:
Your job is to create a customized travel guide.  Tourists visiting some of the big cities in the United States and other countries will be able to use your travel guide to identify and learn about the most famous buildings and their architecture. Your team will decide on 4 cities from the list below for your tourist to visit.  Cost is no object but learning about the architecture in each city is the focus of the travel.  The best part is: you get to decide where your tourist will travel and you’ll pick at least 2 buildings in each city that you want your tourist to visit.  The information about each city must include: 
  • Historical facts including a picture of the building, its location, the year it was built, its architect, map, etc.

  • Architectural style of the building and characteristics of this style of architecture (when complete there should be at least 6 styles of architecture represented in the buildings you've chosen),

  • Geometric shapes (2-dimensional and/or 3 dimensional) that can be found in the building’s architecture, and geometric terms that can be used to describe the building.

PROCESS:

  1. You will be divided into teams of three and together you will choose four cities and 8 buildings to research from the list to the right. 
  2.  Create a name for your travel agency.  Decide what your job will be from the roles below:

Historical Building Specialist:  This person will research the history and geography of the 8 buildings in the four cities that your group has chosen (where and when the building was built, architect, directions/map, find a picture of the building, etc.)

Architectural Style Specialist:  This person will research different types of architectural style of the buildings that were chosen by the team.  This information should include the basic characteristics, time period, and other important information for each style of architecture for the buildings chosen.  (Make sure that you can talk about at least 6 different styles of architecture in the buildings your group chooses.)

Geometry in Architecture Specialist:  This person will become familiar with geometric shapes and terms and then use them to describe the architecture in the buildings chosen. It will be helpful if this person is familiar with the PAINT program in the accessories folder to be able to edit a picture! 

Cities that your client would like to visit.

  1. Boston, Massachusetts
  2. Chicago, Illinois
  3. New York City, New York
  4. Philadelphia, Pennsylvania
  5. San Francisco, California
  6. Washington, D.C.
  7. Sydney, Australia
  8. Tokyo, Japan
  9. Paris, France
  10. Istanbul, Turkey
3.  Create a travel guide, in a booklet format, organized by city and buildings in each city. 

Your final travel guide will need to have

  •  A front cover - include your travel agency's name, the names of the travel agents, and the name of your client that the trip was prepared for (make up one!)
  • Beginning Pages (2 - 4) - Daily itinerary for the trip  (see below)

Daily Itinerary
Dates of the trip:  ______________

Day 1:  Leave from Bloomington

Date:                                   Time:

Airlines:                               Flight #

Arrive in ____________________ at:_________

(you may have connecting flights to also include here)

Day 6:  Date:  

Visit (name of building 1)
address and map/directions

Visit (name of building 2)
address and map/directions

Any special information about this city or the country?

Day 2:  Date:  

Visit (name of building 1)
address and map/directions

Visit (name of building 2)
address and map/directions

Any special information about this city or the country?

 

Day 7:  Leave from ___________

Date:                                   Time:

Airlines:                               Flight #

Arrive in ____________________ at:_________

(you may have connecting flights to also include here)

Day 3:  Leave from ___________

Date:                                   Time:

Airlines:                               Flight #

Arrive in ____________________ at:_________

(you may have connecting flights to also include here)

 

Day 8:  Date:  

Visit (name of building 1)
address and map/directions

Visit (name of building 2)
address and map/directions

Any special information about this city or the country?

 

Day 4:  Date:  

Visit (name of building 1)
address and map/directions

Visit (name of building 2)
address and map/directions

Any special information about this city or the country?

 

Day 9:  Leave from _______

Date:                                   Time:

Airlines:                               Flight #

Arrive in ____________________ at:_________

(you may have connecting flights to also include here)

 

Day 5:  Leave from _________________

Date:                                   Time:

Airlines:                               Flight #

Arrive in ____________________ at:_________

(you may have connecting flights to also include here)

 

 
 
  • Inside pages: there should be a two page spread of information like these below:

  

Name of City:_________
Building to visit:  _______

PICTURE OF
the BUILDING

 

 

Architectural information:
  • what style(s) of architecture
  • what features of this building helped you identify this style and why
  • highlights of this style of architecture

You may include illustrations here to help your explanations

Historical information about the building goes here. Geometrical information:
  • picture of the building with the geometrical information marked clearly
  • what 2-dimensional shapes do you see in this building
  • what 3-dimensional shapes do you see in this building
  • does it have symmetry?  what kind
  • other information
Extra Information about this city or building.....(things like:  weather at this time of year, other special attractions if time permits, history of the city, etc.

RESOURCES - WEBSITES: 
Places to Tour:   In the United States

Boston
http://www.greatbuildings.com/places/boston.html

Chicago
Chicago Landmarks:  http://www.ci.chi.il.us/Landmarks/index.html
use this site to find pictures, maps, historical and architectural information about Chicago’s famous landmarks.

New York City
http://www.greatbuildings.com/places/new_york_city.html
use this site to find pictures, historical and architectural information about famous buildings in New York City.
http://www.wirednewyork.com/alphabetical.htm 
this site give you an alphabetical listing of some of New York City’s Buildings and links to pages of information about each.

Philadelphia
http://www.greatbuildings.com/places/philadelphia.html
use this site to find pictures, historical and architectural information about famous buildings in Philadelphia, Pennsylvania.

San Francisco and surrounding area
http://www.greatbuildings.com/places/sf_area.html
use this site to find pictures, historical and architectural information about famous buildings in the San Francisco Bay area

Washington, D.C.
http://www.greatbuildings.com/places/dc.html
use this site to find pictures, historical and architectural information about famous buildings in Washington, D.C.

Places to Tour: Beyond the United States

Sydney, Australia
http://www.greatbuildings.com/places/sydney.html

Tokyo, Japan
http://www.greatbuildings.com/places/tokyo.html

Paris, France
http://www.greatbuildings.com/places/paris.html

Istanbul, Turkey
http://www.greatbuildings.com/places/istanbul.html

Styles of Architecture:

http://www.nps.gov/inde/Franklin_Court/Pages/archstyles.html  this site gives information about popular Western architectural styles over the last 2000 years

http://www.ci.chi.il.us/Landmarks/StyleGuide/StyleGuide.html  Architectural style guide for all different styles of architecture

http://architecture.about.com/library/bl-styles_index.htm  Architectural house styles

Geometry in Architecture:

http://www.math-kitecture.com/geometry.htm
http://www.math-kitecture.com/graphics/student/2004-05/grisellegeo.jpg
http://www.math-kitecture.com/graphics/profdev/fall2003/andrea.jpg
http://www.math-kitecture.com/graphics/profdev/fall2003/daniella.jpg
http://www.math-kitecture.com/graphics/profdev/fall2003/lydia.jpg
http://www.math-kitecture.com/graphics/profdev/summer2004/latonya.jpg
http://www.math-kitecture.com/graphics/profdev/summer2004/linda.jpg

 

 

 

EVALUATION (100 points)

Travel Guide (80 points)

accuracy of facts

2

4

6

8

10

complete description

2

4

6

8

10

neatness

2

4

6

8

10

layout

2

4

6

8

10

ease of use

2

4

6

8

10

history/geography

2

4

6

8

10

architecture styles

2

4

6

8

10

geometry in architecture

2

4

6

8

10

Group Participation Scoring Rubric (15 points)

stayed on task

1

2

3

4

5

shared information

1

2

3

4

5

worked well with others

1

2

3

4

5

Other Points 
(up to 15 points) 

Creative cover

1

2

 x

 x

 x

Estimated costs – use airline sites to get prices  

1

2

3

4

5

Other places to see or places to eat in cities

1

2

3

4

 x

Maps to the buildings

1

2

3

4

 x

Your grade will be out of 100 points

 

CONCLUSION 

Your team of architectural, historical, and geometrical specialists should know a wealth of information about famous buildings in some of the world’s largest cities. You should be able to help visitors as they ask you to identify architecture and geometry in buildings. Teach tourists how to use your guide for their travels to explore some of the most exquisite architecture in the world.

 

 

 
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This Page was Updated:
02/14/2010 02:45 PM

 

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Nancy Powell
BHS Lead Teacher - Math

© Copyright, 2009 Nancy Powell
BHS Mathematics Department