Full Contact (Mental contact) Review (Modeled loosely on the game of Football) Rules: A coin toss...
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Transcript of Full Contact (Mental contact) Review (Modeled loosely on the game of Football) Rules: A coin toss...
Full Contact (Mental contact) Review(Modeled loosely on the game of Football)
Rules: • A coin toss (of course) determines who goes first.
• The coin-toss-winning team starts on the 20 yard line and tries to advance the football to a TD (so I guess it's really overtime football all the time). Advancing happens with a roll of the dice for yardage and the person chosen to answer the question (card drawn) must get it right.
• If the answer is "fumbled" the other team (person whose card is drawn) has an opportunity to recover.
• If the football advances, normal football rules (4 downs to make first in ten) apply.
• A touchdown will be followed by extra points as determined by team captain. One point is earned with one correct answer, two point with two correct answers.
• The decisions about unsportsmanlike conduct, delay of game, unnecessary geeking, etc. are made by the ref----no replay decisions.
• Surely you realize the real point is review for the test happening next time…..it's about 20% of your 9-weeks grade. This review won't be enough---study your previous quizzes and homework problems.
• Winning team starts the test with one extra credit point on test.
Give the decimal degree version of the angle 35˚42' 25". Round to
nearest hundredth
• (Where do you go in Chicago in case of a tornado?)
2
• (Soldier Field. They rarely get a touchdown there)
3
35.71˚
Use your calculator to find sec 123˚44'55"
• Round answer to 4th decimal place
(What is the name of the picture below?)
4
Answer is –1.8000
• (football pi)
5
6
Albert's truck has wheels 36 inches in diameter. If the wheels are rotating at 630 rpm, find the truck's speed rounded to the nearest mph
(Where do hungry football players play?)
7
Answer 67mph
(In the Supper Bowl)
8
Give exact values for the following. Do not consult your calculator.
(What do you call a lineman's kid?)
1. cos3π2
2. sin7π6
3. sec 5π3
4. tan 315˚
9
Answers:
(Chip off the old blocker.....am I crackbacking you up?)
1. cos3π2
=0 2. sin7π6
=−12
3. sec 5π3
=2 4. tan 315˚=−1
10
NO CALCULATOR!
Find the cotangent of x if and if
(What did the football coach say to the broken vending machine?) €
sinx = −34
€
3π2
≤ x ≤ 2π
11
answer:
(Give me my quarterback!)
€
− 73
12
Use transformations to describe how the graph of the function below is related to the basic trigonometric graph y = sin x
y= –2–3sin(x–π)
13
Compared to y=sinx
•vertical stretch of 3•vertical translation down 2•horizontal translation to right π•reflected about x axis
14
State the amplitude, period, phase shift (horizontal shift) , domain, and range for the sinusoid
y = –2 cos (3x+1)
Football Quote:
"Nobody in football should be called a genius. A genius is a guy
like Norman Einstein."
Football commentator and former player Joe Theismann
15
Amplitude is 2Period is 2π/3Phase shift –1/3Domain = all realsRange=[-2,2]
16
Give the domain and range of y=3sin(2x)
Football quote:
Steve Spurrier, Florida football coach, telling Gator fans that a
fire at Auburn's football dorm had destroyed 20 books: "But the
real tragedy was that 15 hadn't been colored yet."
17
Domain is all real numbers and range is [–3, 3]
18
NO CALCULATOR. Two of the functions below have identical graphs. Which two? (You must be able to explain how you got your answer)
€
A) y = sin 2x +π4
⎛
⎝ ⎜
⎞
⎠ ⎟ B) y = cos 2x −
π4
⎛
⎝ ⎜
⎞
⎠ ⎟
C) y = cos 2x −π2
⎛
⎝ ⎜
⎞
⎠ ⎟
19
A and B (one easy way to tell would
be to check an easy point in all functions........let x=0 and see which have the same y value
20
Find exact value for the cosine of an angle so that tan = 2 and
("exact value" means decimal approximation won't work, which means your calculator is pretty much worthless)€
θ
€
θ
€
π ≤θ ≤3π2
Answer:
€
−15
or −5
5
22
Find the length of the arc intercepted by a central angle of 2π/3 in a circle with radius 2 inches. Give both exact answer and also answer rounded to tenths.
23
Answer: 4π/3 or 4.2 inches
24
From the top of a 150-ft building, Polly observes Tony driving a car toward her. If the angle of depression to the car changes from 18˚ to 42˚ during the observation, how far does the car travel? (round to the nearest foot)
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295 feet
Extra practice:page 439ff #1-68, 93-103
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