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FINAL JEOPARDY!

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Page 1: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

FINAL JEOPARDY!

Page 2: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Try AnglesSlippery Slopes

Putting it all Together

Sadistics Theorems

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JEOPARDY!

Page 3: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Angles : $200Angles : $200

This “dull” type of This “dull” type of angle measures angle measures

over 90 degrees.over 90 degrees.

JEOPARDY!

Page 4: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Angles : $400Angles : $400

JEOPARDY!

The ‘co’ in cosine The ‘co’ in cosine stands for this type stands for this type of angle found in a of angle found in a right triangle.right triangle.

Page 5: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Angles : $600Angles : $600

The height of a The height of a tower whose base tower whose base is 100 m away and is 100 m away and whose pinnacle has whose pinnacle has an angle of an angle of elevation of 45elevation of 45..

JEOPARDY!

Page 6: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Angles : $800Angles : $800

cos(arcsin(2/3))cos(arcsin(2/3))

JEOPARDY!

Page 7: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Angles : $1000Angles : $1000

The period of:The period of:

JEOPARDY!

tan(x/tan(x/))

Page 8: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Slopes : $200Slopes : $200

For the segment For the segment containing (-2, -3) containing (-2, -3) and (4, 5), the slope and (4, 5), the slope is this.is this.

JEOPARDY!

Page 9: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Slopes : $400Slopes : $400

GivenGiven a function a function the formula for its the formula for its slopes is given by slopes is given by

this.this.

JEOPARDY!

Page 10: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Slopes : $600Slopes : $600

The slope of The slope of x = cos(t), y = sin(t) x = cos(t), y = sin(t) at t = pi/4.at t = pi/4.

JEOPARDY!

Page 11: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Slopes : $800Slopes : $800

The derivative of The derivative of the function:the function:

JEOPARDY!

f(x) = secf(x) = sec33(ln x)(ln x)

Page 12: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Slopes : $1000Slopes : $1000

The direction vector The direction vector for the space curve:for the space curve:

r(t) = (t^2, t, r(t) = (t^2, t, sqrt(t)).sqrt(t)).

JEOPARDY!

Page 13: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Together : $200Together : $200

Area under y = Area under y = 1/x from x = 1 1/x from x = 1 to x = 100. to x = 100.

JEOPARDY!

Page 14: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Together : $400Together : $400

While the exact value While the exact value eludes us, we can say eludes us, we can say that the seriesthat the series

does this. does this.

JEOPARDY!

12

1

n n

Page 15: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Together : $600Together : $600

1/3 + 1/12 + 1/3 + 1/12 + 1/48 + …1/48 + …

JEOPARDY!

Page 16: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Together : $800Together : $800

The average The average value of cos(x) on value of cos(x) on the interval [0, the interval [0, pi/2].pi/2].

JEOPARDY!

Page 17: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Together : $1000Together : $1000JEOPARDY!

The Maclaurin series The Maclaurin series for this function is:for this function is:

1 + x1 + x22 + x + x44/2! + x/2! + x66/3! /3!

+ + ……

Page 18: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Sadistics : $200Sadistics : $200

Another word Another word for average. for average.

JEOPARDY!

Page 19: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Sadistics : $400Sadistics : $400

This measures This measures the average the average distance to the distance to the mean.mean.

JEOPARDY!

Page 20: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Sadistics : $600Sadistics : $600

Daily Double!!!Daily Double!!!

JEOPARDY!

Page 21: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Sadistics : $800Sadistics : $800

For UNC’s geography For UNC’s geography majors, Michael majors, Michael Jordan’s starting Jordan’s starting salary of $250,000 was salary of $250,000 was one of these.one of these.

JEOPARDY!

Page 22: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Sadistics : $1000Sadistics : $1000

JEOPARDY!

I can’t remember I can’t remember this memoryless this memoryless continuous continuous analog of the analog of the geometric geometric distribution.distribution.

Page 23: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Theorems : $200Theorems : $200

The distance formula The distance formula in the xy-plane is a in the xy-plane is a consequence of this consequence of this theorem from theorem from antiquity.antiquity.

JEOPARDY!

Page 24: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Theorems : $400Theorems : $400

The Cauchy-Goursat The Cauchy-Goursat theorem says that the theorem says that the integral of an analytic integral of an analytic function on a simple function on a simple closed contour is closed contour is always equal to this.always equal to this.

JEOPARDY!

Page 25: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Theorems : $600Theorems : $600

JEOPARDY!

This not too This not too difficult difficult theorem can be theorem can be used to used to estimate zeroes estimate zeroes of polynomials.of polynomials.

Page 26: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Theorems : $800Theorems : $800

JEOPARDY!

That the That the distribution of distribution of sample means sample means tends to be tends to be normal is a normal is a result of this result of this theorem.theorem.

Page 27: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Theorems : $1000Theorems : $1000

JEOPARDY!

This theorem This theorem asserts that asserts that every every polynomial of polynomial of degree n has at degree n has at most n roots.most n roots.

Page 28: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Daily DoubleDaily Double

Use this method Use this method to find the line to find the line of best fit.of best fit.

JEOPARDY!

Page 29: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

JEOPARDY!

Back

Page 30: FINAL JEOPARDY!. Try Angles Slippery Slopes Putting it all Together SadisticsTheorems $200 $400 $600 $800 $200 $400 $600 $800 $200 $400 $600 $800 $200

Final JeopardyFinal Jeopardy

hh

cos(x)-h)cos(xlim

0


Surface features Earth Terrestrial vs Jovian Formation Other bodies Random $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600

SOL Weather Jeopardy InstrumentsStormsAnimalsConditions 400 200 600 800 200 400 600 800 200 400 600 800 200 400 600 800

MoleculesGas LawsLiquids Phase Changes Acids/ Bases $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $ 600 $ 600 $800 $ 800$800

Ancient astronomy Geocentric Heliocentric Mass and Gravity GalileoKepler Newton $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600

$400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 Fractions to Decimals

SOL Jeopardy MagnetsMatterHabitatsPlantsRandom 400 200 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000

1. 2 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 LiteraryTermsDefinedLiteraryTerms

Electomagnetic spectrum Visible light DopplerWavesLaws Misc $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $ 600 $ 600

CRCT Review: ECONOMICS $200 $800 $600 $400 $800 $400 $200$200 $800 $400$400 $1000$1000 $600 $400 $1000 $200 $600 $200 $600 $1000 $600 $800$800 $1000

Lenses Rays and Diagrams Eyes Wave Types ReflectionRefraction $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $ 600 $ 600

$200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 X X

400 600 800 1000 200 Prisms 200 400 600 800 1000 Cylinders 200 400 600 800 1000 Pyramids 200 400 600 800 1000 Cones 200 400 600 800 1000 Spheres 200 400

Classifying galaxies Big Bang Active galaxies Our Local Group Random $ 200 $ 200$200 $ 200 $400 $ 400$400 $ 400 $600 $ 600$600 $ 600 $ 600 $800 $

BiochemEcologyThe Cell Body Systems GeneticsPlants $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $ 600 $ 600 $800 $ 800$800

Composition of Matter Energy Water pH Carbon Compounds Molecules of Life $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600

SOL Jeopardy AtomsVocabularyCircuitsMisc.Bonus 400 200 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000

Darwin & Lamarck Evidence 1Evidence 2 Models of Evolution DNASpeciation $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600

VSEPR Model Pi and Sigma Bonds and diagrams Molecular Shapes ? Potpourri $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600

Table FTable GVocabMolarityDilutionSolubility $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $ 600 $ 600 $800 $ 800$800

PT $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $ 600 $ 600 $800 $ 800$800 $ 800 $ 800 $ 800 $ 1000$1000 $ 1000 $ 1000

Atomic Theory and the Periodicity. $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600

$600 $400 $200 $600 $200 $400 $200 $400 $600 $200 $400 $600 $200 $800 $1000 $800 $1000 $800 $1000 $800 $1000 $800 $1000 $400 $600 Organic Molecules Proteins

SOL Jeopardy PlantsSun/EarthAnimalsChemistryScience 400 200 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600

CRCT Review: HISTORY $200 $800 $600 $400 $800 $400 $200$200 $800 $400$400 $1000$1000 $600 $400 $1000 $200 $600 $200 $600 $1000 $600 $800$800 $1000

Measure Scientific Method VariablesGraphing Heart rate Lab Daphnia Lab $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $

$200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200

Scientists Ist law of motion Speed/Velo city ForcesMisc $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $ 600 $ 600 $800

200 200 200 200 400 400 400 400 800 800 800 800 600 600 800 800 Choice1Choice 2Choice 3Choice 4 600 600 600 600 600 600 400 400 800 800 400 400 200

VocabularyCellsEcosystemsEvolutionGenetics Random $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $ 600 $ 600 $800 $ 800$800

400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 PoliticsEconomicsSociety African Americans Women

$200 $800 $600 $400 $800 $400 $200$200 $800 $400$400 $1000$1000 $600 $400 $1000 $200 $600 $200 $600 $1000 $600 $800$800 $1000

Earth/ Moon MercuryVenusMarsJupiter Saturn AA $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $ 600 $ 600 $800 $ 800$800

CRCT Review: GEOGRAPHY $200 $800 $600 $400 $800 $400 $200$200 $800 $400$400 $1000$1000 $600 $400 $1000 $200 $600 $200 $600 $1000 $600 $800$800 $1000

400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 ???

HydrogenCalciumLithiumSodiumChlorineHelium $ 200 $ 200$200 $ 200 $ 200 $400 $ 400$400 $ 400$400 $600 $ 600$600 $ 600 $ 600 $ 600 $800 $ 800$800 $