Medieval Society
Two Towers
Hit a Target
Launch a Catapult
Food as Energy
Population Growth
Medieval Society  Two Towers  Hit a Target  Launch a Catapult  Food as Energy  Population Growth 

Serfs/villeins
¨What is one of the two names for the lowest level of Feudal Society?
Medieval Society 100  White What color is Glamdring (Gandalf’s sword)? Two Towers 100  The dartboard can be divided into 16 equal regions. Thus the probability is 1/16. The dart board below is a target at the County Fair dart throwing game. What is the probability of hitting the shaded region of the target? Assume you always hit the board but the location on the board is random. Hit a Target 100  70 degrees
Launch a Catapult 100  Question 100 What is the specific heat capacity of a substance? Food as Energy 100  Question 100
Population Growth 100 
Appointing of church officials is the business of the church OR kings have a tendency to appoint family or reward allies OR Those who get the post that way tend to be cannon lawyers or less than pious men, etc.
¨Name one argument the Church made against lay investiture.
Medieval Society 200  Hornburg What is the name of the castle that guards Helm’s Deep? Two Towers 200 
Formula = (area of unshaded region) / (area of the dartboard) You need to know the radii of the unshaded region and the dartboard. Next, substitute into area formulas. The radius of unshaded region is 3 and the radius of the dartboard is 7. The Probability that the dart hit’s the unshaded region is 9/49. The probability that the dart hit’s the unshaded region if every too hit’s the dartboard is P(dart hits in the unshaded region). What is the probability of throwing a dart and hitting the unshaded region if every toss hit’s the dart board? Explain how you arrived at your solution. Hit a Target 200  47 degrees
Launch a Catapult 200  Question 200 Which members of society need the most food and why? Food as Energy 200  Exponential Decay Identify the following pattern as exponential growth, exponential decay, linear growth, or linear decay: 243, 81, 27, 9, 3, 1, 1/3, 1/9 Population Growth 200 
¨They allowed for the development of skilled craftsmen OR they created the beginnings of a middle class OR they were the beginning of the disruption of the feudal system
¨What is the significance of the town in the feudal system?
Medieval Society 300  Asfaloth. (He is Glorfindel’s horse, and is used to take Frodo to Rivendell in the first book of the trilogy.) Which of the following horses was NOT involved in the journey to Helm’s Deep: Hasufel, Snowmane, Asfaloth, or Arod? Two Towers 300 
P(x) = {10! / (X! (10X)!)} x (0.1)^X x 0.9^ (10X) The probability of 1 hit is 0.38 with p=0.1. What is the probability of hitting a target x times in 10 tries if the probability of hitting the target in any one shot is 1/10? Hit a Target 300  18.75 s
Launch a Catapult 300  Question 300 What is an EXOthermic reaction? How is it different from an ENDOthermic Food as Energy 300  Q(6) = 158,773 bacteria A biologist wants to study the growth of a certain strain of bacteria. She starts with a culture containing 25,000 bacteria. After three hours, the number of bacteria has grown to 63,000. How many bacterial will be present in the culture 6 hours after she started her study? Assume the population grows exponentially. Population Growth 300 
¨1. not in the guild system, 2. master, 3. apprentice 4. journeyman, (if they want to classify themselves differently it depends on justification...)
¨Classify the following according to what their position in the guild might be: 1. You, 2. Georgia O'Keefe, 3. a student earning a BA in fine arts, 4. the art teacher
Medieval Society 400  They set off a firebomb in the culvert. How did the Orcs destroy the main defense of Helm’s Deep? Two Towers 400 
The probability of an event is the number of ways the event can occur divided by the number of possible outcomes. Considering the case of the red color, the total number of divisions is 20 and the total number of red divisions is 5. Therefore the probability for hitting the red section is 5/20 and to find the probability in percent you multiply it by 100, which is 25%. Repeat process for the other three colors.
Design a dart board for a dart tournament that meets the following conditions” ¼ is red, 15% is green, 0.4 is yellow, and the rest is blue. If you threw 100 darts at the board what is the probability of hitting each color? Explain how you arrived at your answer. Hit a Target 400  128.1 m
Launch a Catapult 400  Question 400 A 3.6 g food sample is burned completely in a calorimeter that contains 100g Food as Energy 400  Q(40) = 21.18g At the beginning of a study, there are 50 grams of a substance present. After 17 days, there are 38.7 grams remaining. How much of the substance will be present after 40 days? Assume the substance decays exponentially. Population Growth 400 
¨Mentions of God, infidels, salvation, etc. must be included (strongly worded persuasive language)
¨Create a four sentence propaganda speech, as a religious leader, to recruit men for a Crusade
Medieval Society 500  Red in the sunlight and white in the moonlight. What are the two glowing colors of Anduril, and when does this glowing occur? Two Towers 500 
Let the first shooter hit the second with probability p, and miss with probability p’. Of course we have p + p’ = 1. Likewise, define q andq‘. So the first shooter wins exactly when he lands the first shot. Thus, the probability that the first shooter wins is given by the following geometric sum: p + p’q’p + p’2q’2p + p’3q’3p+ ... = p / (1  p’q’) And the probability that the second shooter wins is given by: p’q + p’2q’q + p’3q’2q +p’4q’3q + ... = p’q / (1 p’q’) It should reassure the reader that, since exactly one of the shooters must win the duel, the formulas do indeed add to 1. Using these formulas, analysis is straightforward. Either player increases his chance of winning by increasing his chance of hitting. By satisfying p = q / (1 + q) we equalize each players probability of winning — that is, they each will win with probability 0.5. Two opponents facing one and other take turns shooting at one another, each with a fixed probability of hitting his opponent. Prove that the probability they each will win is 0.5. Hit a Target 500  0 m (it will land at your feet!)
Launch a Catapult 500  Question 500 Burning food and measuring the amount of heat released gives a reasonable Food as Energy 500  Q(5) = 7,675,837 people, Q’(5) = 819,779 people/year A think tank began a study of population growth in a small country 5 years ago. At the beginning of the study, the population was 4,500,000. Three years later, it was 6,200,000. What will the population be in 2 years? What will the growth rate be in 2 years? Assume the population grows exponentially. Population Growth 500 
Q’(10) = 2,025,942 people/year, Q(5) = 61,251,486 people
If
Daily Double
Interdisciplinary
Scandinavians and AngloSaxons.
Many of the weapons in Tolkien’s Middleearth are inscribed with ruins. Name two medieval cultures in world history that also employed this technique.
Interdisciplinary
Medieval Society 
100 

¨What is one of the two names for the lowest level of Feudal Society?


Question 