1. Opener a) Solve all three:
b) Solve for b:
c) The radius of the sun is 695,500 km. The radius of the Earth is 6,378 km. If they were both made of chocolate, how many times heavier would the sun be?
d) What is the only fruit that grows its seeds on the outside?
€
4 =36x
€
x =153
€
3 =x8
22° 22°
1521
14 b
Day 85
1
strawberry
2. Trigonometry Sine, Cosine, and Tangent
34°
hypoten
useopposite
adjacent
2
What do you call this side? How about this side? [N.B. Careful here. Several students got caught up on the side that the opposite side was always the shortest leg.]
2. Trigonometry Sine, Cosine, and Tangent
34°
hypoten
useo
pposite
adjacent
3
“You’ll want to pay attention to these first initials.”
2. Trigonometry Sine, Cosine, and Tangent
34°
hypoten
use
opposite
adjacent
opposite
hypotenuse= sine
adjacent
hypotenuse= cosine
opposite
adjacent= tangent
4
Sine, cosine, and tangent are just tools to work on angles. Just like square roots work on numbers and hammers work on nails, sohcahtoa works on angles.
2. Trigonometry Find all the trig functions.
SOHCAHTOA
5
Also: some old hippie caught another hippie taking old acid
2. Trigonometry Find all the trig functions.
34°
14.28
21.17
25.54
.6745o
a=
a
h= .8289
tan(34°) =
cos(34°) =
sin(34°) =o
h= .5591
6
No matter how big the triangle, this is always true.
2. Trigonometry Solve for x.
25.54
72°
x
16
So what is this? Sine, cosine or tangent? Tell them to round to four decimal places on sine, cosine, and tangent.
Released Test Questions Geometry
!60 What type of triangle is formed by the points A(4 2, ), B(6,!1), and C(!1 , 3 )?
A right
B equilateral
C isosceles
D scalene
CSG10235
!61 The point !!3 2, " lies on a circle whose
equation is ! x # 3"2 #! y # 1"2
$ r2 . Which of
the following must be the radius of the circle?
A 3
B 10
C 9
D 10
CSG30048
! 5 62 In the figure below, if sin x $ , what are 13cos x and tan x?
x
A cos = 12 13
and tan = 5
12 x x
B cos = 12 13
and tan = 12 5
x x
C cos = 13 12
and tan = 5
12 x x
D cos = 13 12
and tan = 13 5
x x
!
CA LI FOR N I A STA N DA R DS T E ST
CSG00493
63 In the figure below, sin A $ 0 7. .
C
21
B A
What is the length of AC?
A 14.7
B 21.7
C 30
D 32
CSG00432
— 25 —
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2008 California Department of Education.
19
Released Test Questions Geometry
!64 Approximately how many feet tall is the streetlight?
!
CA LI FOR N I A STA N DA R DS T E ST
h
40º
20 ft
sin 0.64
0.77
40
40
40 0 84
!!
!!
!!
cos
tan .
A 12.8
B 15.4
C 16.8
D 23.8
CSG20047
65 Right triangle ABC is pictured below.
B
32º
10.6
A C8.2
Which equation gives the correct value for BC?
BCA sin 32!"
.8 2
BCB cos 32!"
.10 6
8 2 C tan 58!"
. BC
BCD sin 58!"
.10 6 CSG10210
— 26 —
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2008 California Department of Education.
20
1. Opener a) Do these triangles involve sine, cosine, or tangent?
b) Pick two and solve for x.
c) What is the only mammal that can’t jump?
Day 86
22°
x
14
x32
27
x5
40
cosine sine tangentx = 15.1 x = 57.5° x = 7.1°
21
elephant
22
http://www.barrystiefel.com/
1. He started driving at the border of Maine. Why? 2. Why isn’t there a Guinness World Record?
3. He drove West. Why?
4. He started driving on a Sunday in fall. Why?
5. He started driving on the last Sunday in October. Why?
1. Maine 2. New Hampshire 3. Massachusetts 4. Rhode Island 5. Connecticut 6. New York 7. New Jersey 8. Pennsylvania 9. Delaware 10. Maryland 11. West Virginia 12. Virginia 13. Tennessee 14. North Carolina 15. Georgia
2. Classwork pg. 628 // #1 - 6
3. Classwork Answers 1. 655 meters 2. 101.2 meters 3. 64.67 meters 4. 188.2 meters 5. 226.7 meters 6. 973.5 meters
24
4. Break
5. Show and Tell
6. STAR Review
25
You have to do thirty problems. And by thirty we’re talking either, teach a problem to a neighbor or learn it.
1. Opener a) Do these triangles involve sine, cosine, or tangent?
b) Pick one and solve for x.
c) Why isn’t there a Guinness World Record for world’s fattest cat?
Day 87
22°
x
14
x32
27
x5
40
cosine sine tangentx = 15.1 x = 57.5° x = 7.1°
26
discussion of animal cruelty goes here
DAN6. Dilation Project
ANDbring huge sheets of paper for this
27
Draw your name. Begin the dilation.
DAN6. Dilation Project
33
Copy the distance from the dilation point to each point you draw. Construct it on the ray using a compass or a straightedge.