Mon 10/20

Boot-Up 10.20.13 / 6 min.

Based on the information shown, how tall is the tree?

3230 ft.

5.5

ft.

Quiz Review

Today’s Objective:

*SWBAT = Student Will Be Able To

SWBAT reason abstractly & quantitatively as they create representations of problems involving probability.

SWBAT also choose the appropriate tool for the situation.

4-64

4-65

4-66

4-66a.

4-67

4-68

8 min.

Tue 10/21

Boot-Up 10.22.13 / 6 min.

Solve for all variables shown.

1035

y 55

7

x

y = ____ x = ____

What does Tangent Ratio mean?

7

1035

14

20

21

30

What does Tangent Ratio mean?

Tangent Ratio means the ratio between the opposite & adjacent sides of 1 of the non-right s in a right triangle. As long as the s are the same, that ratio remains constant, regardless of the size of the sides.(Remember what we said about similar triangles?)

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

Do 5

Wed 10/22

Boot-Up 10.24.13 / 6 min.

y = ____ = ____

x = ____ = ____

1227

y

63 6

x Just try looking at it from my point of view for a change!

Thu 10/24

Boot-Up 10.23.13 / 6 min. = ____

= ____ = ____ = ____

40

50

5

13y

y = ____ 1) 2)

Boot-Up 10.23.13 / 6 min.

= ____ = ____ = ____ = ____

40

50

1)

Boot-Up 10.23.13 / 6 min.

635

13y

y = ____ 1) 2)

Today’s Objective:

SWBAT:G-SRT.6. Understand that by similarity, side ratios in right s are properties of the angles in the .G-SRT.8. Use trigonometric ratios & the Pythagorean Theorem to solve right s in applied problems.

*SWBAT = Student Will Be Able To

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?

5-2a

5-2a

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…

5-2a

a2 + b2 = c2

32 + y2 = 62

9 + y2 = 36

y2 = 27

y2 = 27

y = 5.196

a2 + b2 = c2

12 + y2 = 22

1 + y2 = 4

y2 = 3

y2 = 3

y = 1.732

Did we get the same answers both ways?

5-2 b

36

= 12

5-2c

1.73

2

y

x21 =

7x

2x = 7x = 3.5

5-3

5-5a,b

1) Opposite Side: _______

Adjacent Side: _______

2) Tan / Sin / Cos: _______

3) Solve for x: _______

5-5

5-5

Fri 10/25

Boot-Up 10.25.13 / 6 min.

1) x = _______ 2) x = _______

Solve for each variable shown…

Boot-Up 10.25.13 / 6 min.Solve for each variable shown:

1) x = _______

Boot-Up 10.25.13 / 6 min.Solve for each variable shown:

2) x = _______

The following is an artist’s rendition of one of the earliest encounters between European Explorers and Native Americans.As you can see, some of the earliest forms of communication revolve around trade.Here we see the European’s trade items of choice – spices, jewelry, etc. – as well as the Native Americans’ commodities of which they are reknowned – right triangles and their secret knowledge thereof…

Chief Sohcahtoa and members of his tribe trading triangles with Early Europeans…Illustration courtesy of Flim-Flam Scam Productions, Astoria, NY

Today’s Objective:

SWBAT:Develop strategies to recognize which trigonometric ratio to use based on the positions of the reference and the given sides.

*SWBAT = Student Will Be Able To

OK, but why’s it important?

Find Lesson 5.1.2

Today’s To-Do List: 5-13 a. -- i. 5-14 a. -- d. 5-15 a. -- b. M & M: Copy 5-16 Learning Log

Today’s work: Independent Practice of Sine, Cosine & Tangent ratios. You will do all work on your own.Those who complete all problems in a proper manner will receive an extra 10 pts. on assignment. Proper manner means:1) Staying On Task. Writing neatly / attending to precision.2) Showing all steps:

a) Formula usedb) Plugging in values for variablesc) Cross-multiplying to solve for missing variable.

3) Moving on to practice worksheets when completed with above.

5-13 a, b

5-13 c, d

5-13 e,f

5-13 g,h

5-13 i

5-14

How can you solve this problem 2 different ways?1) Using Sine.2) Using Cosine.

5-15a, b

Trigonometric Ratios

5-14