CSI: Utica

A Homemade PowerPoint Game

By

Troy Hayes

Wayne State University

Play the game

Game Directions

Story

Credits

Copyright Notice

Game Preparation

Objectives

Game Pieces

The Story of the “CSI: Utica”You are fresh out of college, just having earned a degree in Forensics and eager to start your new job with the Utica Police Departments crime lab. After meeting with the head of the lab, he tells you that in order to earn the title of a CSI you must pass your field test. When asked if you are up to the task, you reply eagerly that you are. "Then, the test begins now. Good luck," and he tells you to report to your mentor for your first assignment.

After meeting your mentor, you learn that your first case is a hit-and-run accident. The victim is in critical condition and time is of the essence.

Can you follow the trail of clues to solve the crime? Put your critical thinking and math skills to use, interview suspects, collect evidence, solve the crime before it is too late and that CSI position will be yours! But don't take too long, or another student may solve the crime first.

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Game Directions

The goal of the game is to…Collect evident about the suspect, motive, and vehicle used in the hit and run accident

To play the game you have to…Answer questions from three different categories in order to collect the necessary evidence

To win the game you have to…

Answer at least 6 questions in each of the 3 categories correctly, in order to convict the suspect of the crime

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Game Preparation

• Print out the “Evidence Log” on slide 5. Be sure that you have selected to print in “grayscale,” and that you only print out the necessary slide (NOT THE ENITRE POWERPOINT).

• Obtain scrap paper, a pencil, and a calculator if you do not have one.

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Evidence Log

Suspect Motive Car

1

2

3

4

5

6

7

8

Submitted by CSI _________________________ Date:______________

CreditsAll teachers and students at non-profit schools can use, revise, or adapt this game at

will at no cost on the condition that all prior designers are cited.

• Originally designed by:

Troy Hayes

Wayne State University

October 2007

with the title “CSI: Utica”

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Educational Objectives

Audience- High school mathematics students (Algebra II)

Subject Area Objectives- Students will be able to….

Define and interpret commonly used expressions of probability

Explain the meaning and uses of weighted averages Recognize when exact answers aren’t always practical Convert units of measurement within systems Describe and interpret logarithmic relationships Adapt the general symbolic form of a function Apply mathematical skills to real world applications Review math concepts for Spring MME

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Copyright

• Copyright 2007 Troy Hayes

• Permission to copy this game at no cost is granted to all teachers and students of non-profit schools.

• Permission is also granted to all teachers and students of non-profit schools to make revisions to this game for their own purposes, on the condition that this copyright page and the credits page remain part of the game. Teachers and students who adapt the game should add their names and affiliations to the credits page without deleting any names already there.

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Time to play “CSI: Utica”

Choose a category and question from the menu on the right. Be sure to record your answer on you “Evidence Log” before clicking on the response button! Record keeping is very important if you want to prove your case; be sure to show all your work!

Please answer the questions in order, as

some are related to the previous information!

Suspect Motive Vehicle

Question 1 Question 1 Question 1

Question 2 Question 2 Question 2

Question 3 Question 3 Question 3

Question 4 Question 4 Question 4

Question 5 Question 5 Question 5

Question 6 Question 6 Question 6

Question 7 Question 7 Question 7

Question 8 Question 8 Question 8

Home PageGame Directions

Suspect – Question 1

The police have collected a list of 3 suspects; however the detective has lost the keys to his office. The good news is that a keypad lock has been recently added to the door. The technician that installed the new lock has a sense of humor, and hid the code in a math problem. Simplify the expression correctly to gain access to the detective’s office.

-116

386 368

250

baba 2312 2 baba 2312 2 baba 2312 2

4,52312 2 ba for baba

Suspect – Question 2

You still need to develop your crime scene photos. There are two chemicals that you need to mix correctly in order to develop the negatives. The first is a 1% acid solution, and the second is a 10% acid solution. How much of each solution should you mix in order to get 2 liters of a 3% acid solution?

0.3 L of 1%, 1.7 L of 10%

0.4 L of 1%, 1.6 L of 10%

1.6 L of 1%, 0.4 L of 10%

1 L of 1%, 1 L of 10%

Suspect – Question 3

A standard image on 35mm camera film is 36x24mm. You want to develop an 8x10in photograph. In order to do that, you must set the scale factor on the equipment. What is the correct scale factor?

(Hint: 1 inch = 25.4 millimeters)

73156/5

5/68/15

Suspect – Question 4

The were a total of 42 witnesses to the accident. It will take you approximately 10 minutes to explain the process to the group, and then 3 minutes to collect each witnesses’ information. About how long will it take you to finish getting all of the information?

14 minutes

420 minutes24 minutes

13 minutes

Suspect – Question 5

The main suspect says that he cleans pools for a living. To test if he is telling the truth, you ask him to tell you the volume of a circular swimming pool that is 6 feet deep and has a diameter of 24 feet. He tells you that it is 2,262 cubic feet. Should you believe him?

Yes No

Suspect – Question 6

As the suspects are being interviewed, the police detective tells you that the total number of suspects has increased by 25%. You decided to grab a cup of coffee as you think about what a long night it is going to be. The detective finds you a little while later and tells you that the number of suspects has now decreased by 20%. The final number of suspects is what percent of the number of suspects you began with?

105%

90% 100%

95%

Suspect – Question 7

It has been a long night and you hope to end the suspect interviews soon. If you can decrease the number of suspects by 23%, you will be able to have another CSI help you out. Which expression will help you calculate the number of suspects you will need to have left in order to get help?

p - 23

p – 0.23

p - 0.23p

p – 23p

Suspect – Question 8

As you finish up your research, you total up your expense report. According to precinct policy, they will pay 80% of expenses. Your total for the day was $85.00. How much will you have to pay?

$93.00$68.00

$17.00$5.00

Motive – Question 1

According to the latest census report, there are 9,860 college students in a city with a population of 62,400. What percent of the population do the college students make up?

84.2%

52.5%15.8%

6.3%

Motive – Question 2

The victim was a basketball player for the local college. Last season, he scored 646 points, made 355 shots (3-points, 2-pointers, and free throws). He made 27 more 2-pointers than 3-pointers. What was the total number of 3-point baskets that the victim made last season?

355

115 88

152

Motive – Question 3

The victim was carrying his book bag when he was hit. After reviewing the traffic camera’s pictures, you calculated that the parametric equation below describes the flight of the book bag after the accident. How long was the book bag in the air?

2 secs128 secs

1.75 secs0.8 secs

216256

70

ttty

ttx

Motive – Question 4The suspect worked at a company that had two different work shifts. Each work

crew was made up of 3 different work sites. The victim was an employee of the same company. He was in charge of crew rotations. He had to keep track of the number of employees in each work site and on each shift. He used a matrix to organize this data. What size was the matrix?

3x3

2x2 3x2

Not enough information

Motive – Question 5

The company that the suspect and victim both worked at calculated its profit based on the number of employees using the function below. To the nearest dollar, what value would maximize the company’s profit?

37

50

45

100

497975902 xxxP

Motive – Question 6

The victim was training for next season. He usually swam 0.5 miles, biked 25 miles, and ran 6 miles each day. He was able to ride his bike 6 times faster than he swam, and run 5 mph master than he swam. How long should it have taken him to complete his workout if he could run at 7.7 mph?

2.7 hrs

3 hrs2.5 hrs

2 hrs

Motive – Question 7

According to the suspect, his car could travel 245 km on 35 liters of gas. How many km should he have been able to drive on 100 liters of gas?

2.45 km8575 km

700 km350 km

Motive – Question 8

The victim’s college basketball team consisted of 32 players. Only 5 players are on the court at any given time. How many different combinations could be on the court during the final minute of the game?

120

24,165,120

201,376

160

Vehicle – Question 1

A traffic camera was able to get a picture of the license plate of the car involved in the hit-and-run accident. You have a lot of work to do still, so you need to know how long it will take the computer to analyze the picture and produce a useable image. The license plate is 6 units long, and each unit can be either a letter or a number. The computer can process 700,000,000 license plates an hour. What is the maximum number of hours that it will take for the computer to produce the correct license plate?

15 hrs116,666,666 hrs

3.1 hrs186 hrs

Vehicle – Question 2

Your data will have to show that it is extremely likely that the suspect’s car was used in the accident. What is the probability that the license plate the computer found is the correct one?

1:36

1:2 1:2176782336

50:50

Vehicle – Question 3

You know that the first unit on the car’s license plate was the letter “W.” How many possible license plates does the computer now have to search through?

50,512

2,176,782,336 60,466,176

216

Vehicle – Question 4

Calculate the amount of time that it will now take the computer to find the correct license plate.

6.18 minutes

9 minutes5.4 minutes

9 hrs

Vehicle – Question 5

The suspect’s car left a skid mark of 141 feet. You can use the formula below where “s” is the speed of the car in mph and “d” is the length of the skid mark in feet to calculate the speed of the car before the accident. How fast was the

car traveling before hitting the victim?

772 mph13 mph

65 mph62 mph

ds 30

Vehicle – Question 6

According to your notes, the investigation began at 11:00 P.M., and the internal temperature of the suspect’s car was 150° F. By 11:10 P.M. the temperature had dropped to 130° F. The ambient temperature that night was 70° F. The normal running temperature of the car’s engine is 200° F. Use the formula below to find the constant of Newton’s Law of Cooling.

-1.72

-0.051.73

2

AT

AT

tk

0

1

1

ln1

Vehicle – Question 7

Using the constant value you found, use the formula below to determine the time of the accident. Assume that t = 0 represents 11:00 P.M.

11:00 AM

11:30 PM

10:44 PM

9:10 PM

kteATAtT 0

Vehicle – Question 8

You find road salt on the tires of the suspect’s car. You need to measure out 45 grams of sodium chloride to test the chemical make-up of the road salt. The bottle you are using lists the amount in ounces. About how many ounces of sodium chloride will you need?

720

0.1 1.6

28.4

That is correct!

You have obtained a piece of evidence! You are one step closer to solving the crime and proving your case.

Use the button below to continue in your investigation.

Continue your investigation

Sorry, that is NOT correct.

You did not obtain this piece of evidence. Please cross out the box on your “Evidence Log” for this question.

Use the button below to get your investigation back on track.

Continue your investigation