Mon 10/20
Based on the
information
shown, how
tall is the
tree?
5.5 ft.
Boot-Up
10.20.13 / 6 min.
32
30 ft.
Quiz Review
SWBAT reason abstractly & quantitatively as they
create representations of problems involving
probability.
Today’s
Objective:
SWBAT also choose the appropriate tool for the
situation.
*SWBAT = Student Will Be Able To
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.
y
35
10
y = ____
x = ____
What does Tangent Ratio mean?
21
14
35
10
7
20
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?)
Do  5
Portfolio:
Do a or b or
(c & d & e) +
f.
Wed 10/22
Boot-Up
10.24.13 / 6 min.
12
27

y
y = ____
 = ____
x = ____
 = ____
Just try looking
at it from my
point of view
for a change!
Thu 10/24
Boot-Up
10.23.13 / 6 min.


1)
 =
 =
 =
 =
____
____
____
____
2)
y = ____
Boot-Up
10.23.13 / 6 min.
1)


 =
 =
 =
 =
____
____
____
____
Boot-Up
10.23.13 / 6 min.
1)
2)
y = ____
SWBAT:
G-SRT.6. Understand that by similarity, side ratios in
right  s are properties of the angles in the .
Today’s
Objective: G-SRT.8. Use trigonometric ratios & the
Pythagorean Theorem to solve right s in applied
problems.
*SWBAT = Student Will Be Able To
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.
5-2a
5-2a
tan 60 =
y
3
y
3
1.732
=
1y
= 1.732  3
y
= 5.196
tan 60 =
y
1
y
1
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
+
y2
9 +
y2
32
y2
y2
=
c2
a2 + b2 = c 2
=
62
12 + y 2 = 2 2
= 36
1 + y2 = 4
= 27
y2 = 3
= 27
y2 = 3
y = 5.196
y = 1.732
Did we get
the same
answers
both ways?
5-2 b
3
6
1
=
2
y
1.732
5-2c
2
1
=
7
x
2x = 7
x = 3.5
x
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
Solve for each variable shown…
1) x = _______
Boot-Up
10.25.13 / 6 min.
2) x = _______
Solve for each variable shown:
1) x = _______
Boot-Up
10.25.13 / 6 min.
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 used
b) Plugging in values for variables
c) 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