Day Opener. 3 = x 8. x = = 36 x. a) Solve all three: b) Solve for b: b

Transcription

1 Day Opener a) Solve all three: x = = 36 x 3 = x 8 b) Solve for b: 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? strawberry 1

2 2. Trigonometry Sine, Cosine, and Tangent hypotenuse 34 opposite adjacent 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

3 2. Trigonometry Sine, Cosine, and Tangent hypotenuse 34 opposite adjacent You ll want to pay attention to these first initials. 3

4 2. Trigonometry Sine, Cosine, and Tangent hypotenuse 34 adjacent opposite opposite hypotenuse = sine adjacent hypotenuse = cosine opposite adjacent = tangent 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. 4

5 2. Trigonometry Find all the trig functions. SOH CAH TOA Also: some old hippie caught another hippie taking old acid 5

6 2. Trigonometry Find all the trig functions. sin(34 ) = o h = a cos(34 ) = h = tan(34 ) = o =.6745 a No matter how big the triangle, this is always true. 6

7 No matter how big the triangle, this is always true. 7

8 2. Trigonometry 1. Sine, Cosine, or Tangent? θ 14 6 sine Toss out candy for correct answers. 8

9 2. Trigonometry 2. Sine, Cosine, or Tangent? 10 θ 6 cosine 9

10 2. Trigonometry 3. Sine, Cosine, or Tangent? 17 θ 7 cosine 10

11 2. Trigonometry 4. Sine, Cosine, or Tangent? 5 θ 15 tangent 11

12 2. Trigonometry 5. Sine, Cosine, or Tangent? 7 θ 6 tangent 12

13 2. Trigonometry 6. Sine, Cosine, or Tangent? θ 4 10 cosine 13

14 2. Trigonometry 7. Sine, Cosine, or Tangent? 13 9 θ sine 14

15 2. Trigonometry Which trig function is this? 15

16 2. Trigonometry Solve for x x 72 So what is this? Sine, cosine or tangent? Tell them to round to four decimal places on sine, cosine, and tangent. 16

17 2. Trigonometry Solve for x. x

18 3. Classwork pg. 624 // #1-7,

19 5 62 In the figure below, if sin x $, what are cos x and tan x? 13 x A cos x = B cos x = C cos x = D cos x = and tan x = and tan x = 5 5 and tan x = and tan x = 5 CSG

20 64 Approximately how many feet tall is the streetlight? h 20 ft 40º sin 40!! 0.64 cos 40!! 0.77 tan 40!! A 12.8 B 15.4 C 16.8 D 23.8 CSG

21 Day Opener a) Do these triangles involve sine, cosine, or tangent? x x x cosine sine tangent x = 15.1 x = 57.5 x = 7.1 b) Pick two and solve for x. c) What is the only mammal that can t jump? elephant 21

22 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 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?

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24 2. Classwork pg. 628 // # Classwork Answers meters meters meters meters meters meters 24

25 4. Break 5. Show and Tell 6. STAR Review You have to do thirty problems. And by thirty we re talking either, teach a problem to a neighbor or learn it. 25

26 Day Opener a) Do these triangles involve sine, cosine, or tangent? x x x cosine sine tangent x = 15.1 x = 57.5 x = 7.1 b) Pick one and solve for x. c) Why isn t there a Guinness World Record for world s fattest cat? discussion of animal cruelty goes here 26

27 6. Dilation Project DAN Dbring huge sheets of paper for this AN Draw your name. Begin the dilation. 27

28 6. Dilation Project DAN DAN 28

29 6. Dilation Project DAN 29

30 6. Dilation Project DAN Draw your name. Put a dilation point anywhere. 30

31 6. Dilation Project DAN Draw your name. Put a dilation point anywhere. 31

32 6. Dilation Project DAN Draw rays from the dilation point through each point on the name. 32

33 6. Dilation Project DAN Copy the distance from the dilation point to each point you draw. Construct it on the ray using a compass or a straightedge. 33

34 6. Dilation Project DAN DAN Draw the new figure. What happens if you put the dilation point farther back? How else could we make this even bigger? 34