Mon 10/28

transcript

Mon 10/28

Boot-Up 10.28.13 / 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

s at H

Boot-Up 10.28.13 / 6 min. Dogs at Home

s at H

Dogs at Home

82.111111111111174 80 82

86 86 90

Block 1 Test Performance: Class Averages / Term 1

1st Time 2nd Time

13%0% 0%

Chapter 4 10/23 Test Performance: Block 1

Series1 Series2

79.7777777777778

Block 2 Test Performance: Class Averages / Term 1

1st Time 2nd Time

A B C D F0

48%41%

4% 7% 0%

Chapter 4 10/23 Performance: Block 2

Series1 Series2

Today’s Objective:

*SWBAT = Student Will Be Able To

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 5.1.3

5.1.3 5.1.4 5-24 5-36 5-25 5-37 5-26 5-38 5-27

5-24 a

4.7625 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.

Which inverse will you need here?

Inverse of Sine, Cosine, or Tangent?

5-24 c

?25 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?

8 min.

Wed 10/30

Boot-Up 10.30.13 / 6 min.

For each below, write a trigonometric equation relating a, b, and θ. (The 1st one is shown as an example.)

ba=sin

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 5.2.1

5.2.1 5.2.2 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 c

5-50a,b,c

5-50d,e,f

8 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:

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 3rd baseman for the Samos Sigmas – accepting his 3rd of 10 consecutive Alpha Awards.

Find Lesson 5.2.25.2.2 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 11.1.13 / 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.

y3=tan 60

y3=1.732

=1 y 1.732 3

y 5.196=

y1=tan 60

y1=1.732

=1 y 1.732 1

y 1.732=Hey, Bub: Divide these rises (5.196 1.732), what do you get? Now divide the runs…

a2 + b2 = c2

32 + y2 = 62

9 + y2 = 36

y2 = 27

y = 5.196

a2 + b2 = c2

12 + y2 = 22

1 + y2 = 4

y2 = 3

y = 1.732

Did we get the same answers both ways?

Mon 10/28

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