Day 85 - Amazon Simple Storage Service · Why isn’t there a Guinness World Record? 3. He drove...

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.]


34°

hypoten

useo

pposite

adjacent

3

“You’ll want to pay attention to these first initials.”


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.

7

No matter how big the triangle, this is always true.

1. Sine, Cosine, or Tangent?

14

6

€

θ

2. Trigonometry

sine8

Toss out candy for correct answers.


10

6

€

θ

2. Trigonometry

cosine9


17

7

€

θ

2. Trigonometry

cosine10


15

5

€

θ

2. Trigonometry

tangent11


6

7

€

θ

2. Trigonometry

tangent12


4 10€

θ

2. Trigonometry

cosine13


9

13

€

θ

2. Trigonometry

sine14

2. Trigonometry

15

Which trig function is this?

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.

2. Trigonometry Solve for x.

13

x

24

17

3. Classwork pg. 624 // #1 - 7, 9 - 19

18

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

23http://www.henniker.org.uk/images/places/local_a/pentlands/bonaly-arthurs_seat.jpg

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.


AND28


29


30

Draw your name. Put a dilation point anywhere.


31

Draw your name. Put a dilation point anywhere.


32

Draw rays from the dilation point through each point on the name.


33

Copy the distance from the dilation point to each point you draw. Construct it on the ray using a compass or a straightedge.

DANDAN

6. Dilation Project

34

Draw the new figure. What happens if you put the dilation point farther back? How else could we make this even bigger?

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