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Welcome t o AREA 51

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  1. Welcome to AREA 51

  2. Using Student Responders To respond to a question: • Wait for polling to open. • Select your response • You do not have to turn on your responder, it is ready to go.

  3. Welcome to AREA 51

  4. Crop circle image 1 Insert image of a crop circle design. Example: http://science.howstuffworks.com/science-vs-myth/unexplained-phenomena/crop-circle.htm

  5. Example crop circles can be foundathttp://www.stonehenge-stone-circle.co.uk/crop-circles.htm

  6. Crop circle example can be found at http://www.ufo-reports.com/crop-circles.html

  7. Real Crop circles tour Google Earth

  8. Crop circle image 3

  9. Crop circle image 4

  10. Crop circle image 5

  11. Crop circle image 6

  12. Crop circle image 7

  13. Why Circles? • They are cool to look at. • Farmers are able to plant more crops. • Crops grow better in circle plots. • Crops are watered more efficiently.

  14. Crop circle with radius1

  15. Center pivot 2

  16. Center pivot 1

  17. Why Use Center Pivot Systems? PROS (advantages) CONS (disadvantages)

  18. Why so close?

  19. Why so far apart?

  20. Why So Close? • Farmers want to make the most of limited space. • We have plenty of land • It is easier for farmers. • It is easier to construct the irrigation system

  21. Crop circle with radius2

  22. What is Area? • The distance around a shape. • The amount of 2-D space inside a boundary. • The amount of 3-D dimensional space an object occupies. • The sum of the sides of a shape.

  23. An Area Answer Tells Us . . . • How many square units are in a 2-D space. • How many cubic units are in a 3-D space. • How many units are in a line.

  24. Area fill-in1 1 square = 1 square meter

  25. Area fill-in1 AREA: AREA: AREA:

  26. Area of a Parallelogram? • Base●Height • Side+Side+Side+Side • Length÷Width • ½ (Base●Height)

  27. Rectangle

  28. Calculating Square Units

  29. Parallelogram

  30. Same 2 Dimensions

  31. Rearranging Sections

  32. Same Area as Rectangle

  33. Formula chart Base •Height bh

  34. Area of a Triangle? • base•height • base•height • 2•base•height • base•height

  35. Why is a Triangle’s Area ½ Base x Height?

  36. Formula chart ½Base • Height (½ bh)

  37. Area of a Circle?1

  38. Area of a Circle?1

  39. Area of a Circle?2

  40. Area of a Circle?3

  41. Area of a Circle?4

  42. Area of a Circle?5 RED: Half the circumference =Length ORANGE:Radius = Width

  43. Area of a Circle? • • r • r= r2 • 2r • r • 2r • r = 2r2

  44. ORANGE: Radius = Width RED: Half the circumference =Length

  45. Formula chart

  46. How Much Land is Wasted?

  47. Wasted Land Calculations

  48. Percent of Farm NOT Used Farm Area 2.70 km2 Farm NOT Used .91 km2

  49. 33.7% Farm Not Used Farm NOT Used .91 km2 Farm Area 2.70 km2 .337 ● 100= .91÷ 2.70= 33.7%