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Shipwreck and Murder

Shipwreck and Murder. Our whole class has gone on a cruise together and shipwrecked. There's plenty to eat and drink, so no one is too stressed. But then, our classmate John Doe is murdered! (He was so quiet, you may not remember him .) http://www.youtube.com/watch?v=yfSLuEj99d0.

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Shipwreck and Murder

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  1. Shipwreck and Murder Our whole class has gone on a cruise together and shipwrecked. There's plenty to eat and drink, so no one is too stressed. But then, our classmate John Doe is murdered! (He was so quiet, you may not remember him.) http://www.youtube.com/watch?v=yfSLuEj99d0

  2. Here’s the Story… You’ve all been shipwrecked on a tropical island - a wonderful place, with bananas, coconuts, fish, and a pretty constant temperature of 80°. Your classmate, John Doe, has been murdered. You know there’s no one else on the island - it was one of your classmates that did it! None of you will sleep peacefully in your flimsy grass huts until the murderer is discovered.

  3. Here’s what you have to work with… You have watches, thermometers, and other simple tools, but no experts on murder investigations. The day John was murdered, everyone was walking around the island by two’s, noting its features, in hopes that would help you all figure out where you are. It turns out that everyone walked by the spot where John's body was found, and recorded the time when they were at a nearby spot (where they could see a volcano on the next island). Figuring out the time of death would likely narrow down the suspects to four or less.

  4. So, you gathered some information… Angel had a hunch that knowing the body temperature would help determine the time of death. So, at 1 pm, she checked the temperature of John’s corpse. It was 96.1°. Then at 2 pm, it was 91.7°.Finding the murderer will be our goal. It might take us a few days. (I hope you don’t mind some sleepless nights...)

  5. Here’s a clue… “I read a lot of murder mysteries. In one of them, this detective says, ‘A dead body cools off just like a hot cup of joe.’ I don’t know if that helps or not…”

  6. Assignment 1 We want to think about how a hot cup of coffee cools off. 1. What would be a reasonable starting temperature? 2. After about how long would it be cold?3. About what temperature is it when it’s cold? (Why?)4. Now let time be the x-axis (t-axis) and temperature (T) be the y-axis, and (on graph paper) graph temperature versus time for a cup of coffee, using what you know from common sense. Does a straight line graph make sense for this?

  7. Assignment 2 Elizabeth says, “We need some numbers here.” And she boils some coffee up over a campfire and measures its temperature with a thermometer Jessica provides.Here’s what she gets:The coffee starts out at 176 degrees, and cools off like this… Min Degrees1       1692       1623       1565       14610     12515     11120     10130      9060      811. If she measured the coffee at 2 hours and 3 hours, what temperature would it be?2. Graph this data, and connect the points with a smooth curve.3. So we can conclude that this graph has what line as an asymptote?4. Give an example of a function with this asymptote.

  8. Assignment 3 John Doe’s dead body was lying near the viewing spot for the volcano, and it turns out that there was only one path going by that spot. So, after checking with each other, and remembering who passed whom, you all agree that the murderer was most likely one of the people at that spot right before or after the time of death.Below are the times that each pair walked by the volcano viewing spot: Courtney & Jasper 11:15 amMackenzie & Shan 11:23 am Julia & Cam 11:33 am Vicky & Bethanie 11:54 am Alex & Alexis 12:07 pm Olivia & Elizabeth 12:11 pm Ravi & Tre 12:25 pm Izzie & Devon 12:30 pm Jackson & Kira 12:41 pm Will & Angel 12: 50 pm Erin & Angelica 12:59 pm Ellie & Jessica 1:01 pm Hannah & Haley 1:24 pm

  9. Assignment 4: The Next Day Of course, all 4 suspects swear they’re innocent. The next day, Bethaniefinds me dead, left lying right in the clearing.My body temperature is 93.1°, and it’s 9:47am. You check at 10:17am, and it’s 87.2°. Here’s everyone’s alibis:• Courtney, Tre, Jackson, Haley, Cam, Olivia, and Shan were all swimming together from 8am to 9:30am.• Mackenzie, Kira, Ellie, Julia, Ravi, and Jasper were all looking for clams together from 8:30am to 9:30am.• Vicky, Izzie, Alex, Jessica, Angelica, Alexis, and Angel were all gathering coconuts together from 9am until they heard Bethanie’sscreams.• Erin, Hannah, Will, Devon, and Elizabeth were hiking from 9:30 until they heard the screams.Please find the killer before someone else is murdered!

  10. Assignment 5 Write up closing arguments as prosecuting attorney, explaining to the jury how we know the time of death, and why that means the prime suspect is the killer.

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