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

13. Crop circle image 7

14. 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.

15. Crop circle with radius1

16. Center pivot 2

17. Center pivot 1

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

19. Why so close?

20. Why so far apart?

21. 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

22. Crop circle with radius2

23. 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.

24. 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.

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

26. Area fill-in1 AREA: AREA: AREA:

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

28. Rectangle

29. Calculating Square Units

30. Parallelogram

31. Same 2 Dimensions

32. Rearranging Sections

33. Same Area as Rectangle

34. Formula chart Base •Height bh

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

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

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

38. Area of a Circle?1

39. Area of a Circle?1

40. Area of a Circle?2

41. Area of a Circle?3

42. Area of a Circle?4

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

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

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

46. Formula chart

47. How Much Land is Wasted?

48. Wasted Land Calculations

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

50. 33.7% Farm Not Used Farm NOT Used .91 km2 Farm Area 2.70 km2 .337 ● 100= .91÷ 2.70= 33.7%