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Mon 10/28

Mon 10/28. Boot-Up 10.28.13 / 6 min. Dogs at Home. Based on the area model shown, what is the probability that a person has at home: Just Dogs ___________ Just Cats ___________ Both Dogs & Cats _________ Neither Dogs nor Cats ______. Cats at Home. Boot-Up 10.28.13 / 6 min.

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Mon 10/28

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  1. Mon 10/28

  2. Boot-Up 10.28.13 / 6 min. Dogs at Home • Based on the area model shown, what is the probability that a person has at home: • Just Dogs ___________ • Just Cats ___________ • Both Dogs & Cats _________ • Neither Dogs nor Cats ______ Cats at Home

  3. Boot-Up 10.28.13 / 6 min. Dogs at Home Dogs at Home Cats at Home

  4. 4-54

  5. 4-55

  6. SWBAT understand: how to use trigonometric ratios to find the unknown measures of a right  & the concept of “inverse.” SWBAT also: 3) Reason abstractly & quantitatively as they work backwards to solve problems. Today’s Objective: *SWBAT= Student Will Be Able To

  7. OK, but what’s in it for me? Fields that use trigonometry or trigonometric functions include: Astronomy (especially for locating apparent positions of celestial objects, in which spherical trigonometry is essential) and hence navigation (on the oceans, in aircraft, and in space), music theory, acoustics, optics, analysis of financial markets, electronics, probability theory, statistics, biology, medical imaging (CAT scans and ultrasound), pharmacy, chemistry, number theory (and hence cryptology), seismology, meteorology, oceanography, many physical sciences, land surveying and geodesy, architecture, phonetics, economics, electrical engineering, mechanical engineering, civil engineering, computer graphics, cartography, crystallography & game development.

  8. Find Lesson 5.1.3

  9. 5-24

  10. 5-24 a 3ft  4.76 25 ft.

  11. 5-24 b

  12. 5-24 b Why are we using the inverse of Cosine here? Why aren’t we using the inverse of Sine or Tangent instead?

  13. Which inverse will you need here? Inverse of Sine, Cosine, or Tangent? 5-24 c 3ft ? 25 ft.

  14. What angle measure did you get? Does our man arrive safely to the ground? 5-24 c 3ft ? 25 ft.

  15. How far does the ramp have to start away from the building in order to ensure an angle  4.76? How will you set this problem up? What are you trying to find?  4.76 5-24 d

  16. 5-25

  17. 5-26

  18. 5-27

  19. 5-28 8 min.

  20. Wed 10/30

  21. For each below, write a trigonometric equation relating a, b, and θ. (The 1st one is shown as an example.) b a sin  = Boot-Up 10.30.13 / 6 min. 5-44

  22. SWBAT: Recognize the similarity ratios in 30-60-90& 45-45-90s. Apply those ratios as a shortcut to finding missing side lengths. Today’s Objective: *SWBAT= Student Will Be Able To

  23. OK, but what’s in it for me? Fields that use trigonometry or trigonometric functions include: Astronomy (especially for locating apparent positions of celestial objects, in which spherical trigonometry is essential) and hence navigation (on the oceans, in aircraft, and in space), music theory, acoustics, optics, analysis of financial markets, electronics, probability theory, statistics, biology, medical imaging (CAT scans and ultrasound), pharmacy, chemistry, number theory (and hence cryptology), seismology, meteorology, oceanography, many physical sciences, land surveying and geodesy, architecture, phonetics, economics, electrical engineering, mechanical engineering, civil engineering, computer graphics, cartography, crystallography & game development.

  24. Find Lesson 5.2.1

  25. 5-47 a

  26. 5-47 a

  27. 5-48, b

  28. 5-48 d, e

  29. 5-49

  30. 5-49 c

  31. 5-50a,b,c

  32. 5-50d,e,f

  33. 5-51 8 min.

  34. Thu 10/31

  35. 1) What is the ratio between side lengths for the following s: 2) Find each missing side length &  in each  below: a) 30-60-90 ___ : ___: ___ b) 45-45-90 ___ : ___: ___

  36. SWBAT: Recognize 3:4:5 & 5:12:13 s & find other examples of Pythagorean Triples. Today’s Objective: *SWBAT= Student Will Be Able To

  37. AP Wire Photo: Image of “Pound-it-out” Pythagoras circa 540 BCE. Pythagoras, then 3rd baseman for the Samos Sigmas – accepting his 3rd of 10 consecutive Alpha Awards.

  38. Find Lesson 5.2.2

  39. 5-59abc

  40. 5-59def

  41. 5-59ghi

  42. 5-61abc

  43. 5-61def

  44. Historic Pythagorean Triples You Should Remember 12 4 3 13 5 5 24 15 7 8 25 17

  45. 5-62abc

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