Mon 10/28

Boot-Up / 6 min. Based on the area model shown, what is the probability that a person has at home: 1)Just Dogs___________ 2)Just Cats___________ 3)Both Dogs & Cats _________ 4)Neither Dogs nor Cats ______ Dogs at Home Cats at Home

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

4-54

4-55

Today’sObjective: * SWBAT = S tudent W ill B e A ble T o SWBAT understand: 1)how to use trigonometric ratios to find the unknown  measures of a right  & 2)the concept of “inverse.” SWBAT also: 3) Reason abstractly & quantitatively as they work backwards to solve problems.

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. OK, but what’s in it for me?

Find Lesson  5-24  5-36  5-25  5-37  5-26  5-38  5-27

5-24

5-24 a  4.76  25 ft. 3 ft

5-24 b

Why are we using the inverse of Cosine here? Why aren’t we using the inverse of Sine or Tangent instead?

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

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

5-24 d 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 

5-25

5-26

5-27

min.

Wed 10/30

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

Today’sObjective: * SWBAT = S tudent W ill B e A ble T o SWBAT: 1)Recognize the similarity ratios in 30  -60  -90  & 45  -45  -90   s. 2)Apply those ratios as a shortcut to finding missing side lengths.

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. OK, but what’s in it for me?

Find Lesson  5-47  5-59  5-48  5-60  5-49  5-61  5-50  5-51

5-47 a

5-48, b

5-48 d, e

5-49

5-49 c

5-50a,b,c

5-50d,e,f

min.

Thu 10/31

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

Today’sObjective: * SWBAT = S tudent W ill B e A ble T o SWBAT: 1)Recognize 3:4:5 & 5:12:13  s & find other examples of Pythagorean Triples.

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

Find Lesson  5-59  5-60  5-61  5-62  5-64

5-59abc

5-59def

5-59ghi

5-61abc

5-61def

Historic Pythagorean Triples You Should Remember

5-62abc

5-62de

5-64ab

5-64cd

Fri 11/1

Boot-Up / 6 min. 1) x = _______ 2)  = _______ Solve for each variable shown…

1)You may refer to your Notes, but not your Textbook. 2)You may use a calculator, but you MUST SHOW ALL WORK for full credit. You may not pass the test if all you show is the final answer. 3) You may not speak or make any other type of noise during test. 4)You must keep your eyes on your own papers. 5)If you finish early, raise your hand silently & teacher will give you assignment. 6) Failure to follow these instructions will result in a failure on the test. Good luck!

Fri 11/1

Trigonometric Ratios

Portfolio: Do a or b or (c & d & e) + f. Do  5

5-2a y3y3 = tan 60  y3y3 = =1 y y = y1y1 = tan 60  y1y1 = =1 y y = Hey, Bub: Divide these rises (5.196  1.732), what do you get? Now divide the runs…

5-2a a 2 + b 2 = c y 2 = y 2 = 36 y 2 = 27  y 2 =  27 y = a 2 + b 2 = c y 2 = y 2 = 4 y 2 = 3  y 2 =  3 y = Did we get the same answers both ways?

5-2 b 3636 = 1212