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Applying the Properties of a Circle to an Inuit Igloo

Applying the Properties of a Circle to an Inuit Igloo.

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Applying the Properties of a Circle to an Inuit Igloo

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  1. Applying the Properties ofa Circle to an Inuit Igloo Igloos have long functioned as the traditional winter homes for the Inuit people of Northern Canada. Typically dome-shaped in structure and constructed from blocks of snow, each family would have their own shelter, which could be constructed in 1-2 hours. The term “igloo” was originally derived from the name of an Inuit tribe, the Iglulirmiut.

  2. Question: • Adam, a young Canadian of Inuit descent, is learning about the Igloos his ancestors used for shelter. He learns that the average Inuit family home had an internal diameter of 4 metres. He wants to try to make an igloo of his own with his brother and sister but needs to learn how big a circle they will need to make. • A) Calculate what the radius of their igloo would be in metres. • B) Calculate the approximate internal area for their igloo in m² • Now that they know the internal floor area, Adam and his siblings decide that they want to make their walls using blocks of ice which are .3 metres thick. • C) What will the total diameter of the igloo be now, and use it to find out the total circumference of their igloo. • D) Calculate the total area of their igloo.

  3. Answer • A) Divide 4 metre diameter by 2 to get the radius  radius = 2 metres • B) Use formula of to calculate the area of a circle    approximate floor space (area): • C) Calculate new diameter by adding 4 metres + width of 2 blocks (.3m + .3m)  with new diameter of 4.6 metres, use formula of   Circumference: approximately 14.4 m. • D) Divide new diameter of 4.6 by two to get new radius  radius = 2.3 metres  follow same steps as in letter ‘b’    Approximate total area:

  4. PLOs, Grade Level, Sources • Math 7 Curriculum: http://www.bced.gov.bc.ca/irp/pdfs/mathematics/2007mathk7_7.pdf • PLOs: C1 demonstrate an understanding of circles by: - describing the relationships among radius, diameter, and circumference of circles • relating circumference to pi C2 develop and apply a formula for determining the area of - A circle. • Sources: igloo Image Encyclopaedia Britannica Article

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