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By Roberto Wheaton

Tepee Math. By Roberto Wheaton. Session Goals. Develop an understanding of the culture and historical significance of the Native American tepee. Appreciate how an understanding of geometry and trigonometry plays a role in Native American tepee construction.

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By Roberto Wheaton

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  1. Tepee Math By Roberto Wheaton

  2. Session Goals Develop an understanding of the culture and historical significance of the Native American tepee Appreciate how an understanding of geometry and trigonometry plays a role in Native American tepee construction. Analyze different configurations of tepee shapes and designs. Investigate the relationship between the height, slant, angle, volume and surface area.

  3. Historical The word Teepee, Tepee, and Tipi(Lakota Sioux) has varied spellings as the fraction of design variations adopted by Native American tribes of the Great Plains and Plateau regions.

  4. Story The Northwest Plateau tribes lived in villages of earthen structures sometimes known as pit houses. Contact with the plains Indian’s during buffalo hunting trips introduced the tepee as a portable housing during hunting and gathering season. Traditionally mats, bear, deer, elk and buffalo hides were used as tepee coverings. By the 1840’s the arrival of traders and missionaries introduced canvass which became the favorite covering as buffalo herd populations diminished. Photo of Coeur d Alenes 1907 http://en.wikipedia.org/wiki/File:Couer_d%27Alene_people_and_tipis,_Desmet_Reservation

  5. In tepee construction there is always an overlap of 3-5 feet beyond the covering. Scale Can you determine the height of this tepee based on the information you observe? Explain how the tepee height can be estimated. The most effective Tepee height to get rid of smoke were between 15 and 18 feet tall with diameters up to 30 feet.

  6. Tepee Poles Loge pole pine grows abundantly in the Plateau region and is ideal for tepee poles because of its, long, light weight straight trunk. Traditionally three poles are used to begin the construction. What happens to the dimensions when a fourth pole is used?

  7. Pole Placement Pole placement is important for the tepee structure. A tripod is used in the construction with three anchor poles positioned at North, South and East. E North South ://www.siouxstarknowledge.info/the-tipi.html East In some tribes or families 12 poles are used with each pole representing cultural-family significance. The number of poles used in construction vary from 12 or more. Door pole is always placed facing East toward the rising sun.

  8. Pole Data Below is a list taken from a modern day tepee company. .

  9. Tepee slant What are the advantages or disadvantage of a perfect conic shape? Crow Tepee images Will slant affect the the surface are of the base? Plains Indians often used a slant in construction for strength due to the prevailing winds.

  10. Tepee Slant Right Cone or Oblique Great Plains tepees are sometimes constructed with a slight slant creating an oblique shape. What modification in pole layout is needed to create a slant like the tepees below. How would this change the surface area or volume of the tepee?

  11. VOLUME Is there a tepee pole configuration that maximizes the volume and surface area? The tepee size for each individual family was based on need. www.2crows.net

  12. Surface Area The traditional tepee coverings were made of buffalo hides. When buffalo herds diminished small hides substituted until the late 1800’s when most covering were replaced with canvass. Plains Indians often traded buffalo hides for canvass. Having a canvass tepee was often a status symbol for more successful hunters. An average of 15 to 20 buffalo hides were required to make a covering for an average tepee.

  13. Surface Area How would you layout the hides to minimize waste for a tepee covering? How many buffalo hides would be needed to cover a tepee 15 ft. in height and a 25 foot diameter? 6 ft. Native Americans made use of the entire animal.

  14. Lay Out This is a tepee layout using buffalo hides. Can you estimate how many are needed for this template? This is a 1870 photo of two Cheyenne women preparing buffalo hides. If you look close enough you will see the tepee coverings are canvass

  15. Tepee Set Up 4 General steps used to set up a tepee. 3 2 1 Tipi.com

  16. Nezperce Tepee Setting up a 150 year old buffalo tepee at the Nezperce National Historical Park

  17. A man or women with many children has many homes Lakota Sioux

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