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Math in Motion. Olds High School Natalya Nicholson VC Session 3 April 27, 2006. Grizzly Bear Protection Project. Tell me more… What is the purpose of your project? What are you hoping to learn from it? Did you run into any unexpected problems? Why is it important to study bear habitat?.
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Math in Motion Olds High School Natalya Nicholson VC Session 3 April 27, 2006
Grizzly Bear Protection Project • Tell me more… • What is the purpose of your project? • What are you hoping to learn from it? • Did you run into any unexpected problems? • Why is it important to study bear habitat? • Can you make a difference to the future of Canadian parks and wilderness?
Something About Mary… • Tell me about your bears • Mary • Scott • Snoopy • Katie • Duncan
52.00 51.75 51.50 51.25 51.00 -115.00 -116.00 -115.75 -115.50 -115.25 -114.75 -114.50 -114.25 -114.00 Grizzly Bear Habitat Latitude (degrees) Longitude (degrees)
Rocky Mountain Foothills Habitat • Tell me more… • Describe the habitat of you bears. • What are important features for bear habitat? • Are the requirements different for different bear species? Bears of different gender? • What risks do humans pose to bear habitat?
Habitat Area • How can you use math to describe a bear’s habitat? • What other methods could you use?
R Bear Habitat Area • Some Geometry… • Area of a Circle: π x R2 • Circumference of a circle: π x 2 x R • How might we define the location of the center of the circle? Statistics!
52.00 51.75 51.50 51.25 51.00 -115.00 -116.00 -115.75 -115.50 -115.25 -114.75 -114.50 -114.25 -114.00 Grizzly Bear Habitat Latitude (degrees) Longitude (degrees)
52.00 51.75 51.50 51.25 51.00 -115.00 -116.00 -115.75 -115.50 -115.25 -114.75 -114.50 -114.25 -114.00 Grizzly Bear Habitat Latitude (degrees) Longitude (degrees)
52.00 51.75 51.50 51.25 51.00 -115.00 -116.00 -115.75 -115.50 -115.25 -114.75 -114.50 -114.25 -114.00 Grizzly Bear Habitat Latitude (degrees) Longitude (degrees)
52.00 51.75 51.50 51.25 51.00 -115.00 -116.00 -115.75 -115.50 -115.25 -114.75 -114.50 -114.25 -114.00 Grizzly Bear Habitat Latitude (degrees) Longitude (degrees)
52.00 51.75 51.50 51.25 51.00 -115.00 -116.00 -115.75 -115.50 -115.25 -114.75 -114.50 -114.25 -114.00 Grizzly Bear Habitat Latitude (degrees) Longitude (degrees)
Foothills Model Forest Grizzly Bear Research Program • Currently use GPS collars to track bears. • Understand habitat and resource needs.
What recommendations would you make to the Government to protect the habitat of your bears?
Government considerations? • What will the government have to consider when it evaluates your recommendations?
Remote Sensing http://www.geomatics.ucalgary.ca/%7Ehabib/research_areas/r_areas_new_sensor_modeling_and_integration.html
3-D Shapes http://argyll.epsb.ca/jreed/math9/strand3/3107.htm
Shape of the Beam • When GPS sends a signal to the Earth, what shape does the beam make?
What area of the ground does the beam cover? Area = πr2 Perimeter = 2πr
What area of the ground does the beam cover? Area = b2 Perimeter = 4b
How can remote sensing with satellites help you learn more about bear habitat?
Web Links • http://www.bear.org/homepage.html • http://www.canadianrockies.net/Grizzly/