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Math Day Murder Math Day Murder Mystery Mystery Noyce Teacher Noyce Teacher Scholarship Program Scholarship Program Conference Conference May 30, 2013 May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) = e ix

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Page 1: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

Math Day Murder Math Day Murder Mystery Mystery Noyce Teacher Noyce Teacher

Scholarship Program Scholarship Program ConferenceConference

May 30, 2013May 30, 2013

y = mx + b

(a+b) 2 = a 2 +

2ab + b 2

x = e ln(x)

cos(x) + i

sin(x) = e ix

Page 2: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

Presenters

Jay Bumanglag HiNTS Scholar

Jesse Robert HiNTS Scholar

Dr. Diane Barrett HiNTS Principal InvestigatorAssociate Professor of

EducationUniversity of Hawai’i at [email protected]

Page 3: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

IntroductionYou will be participating in an excerpt from the a Math Day Murder Mystery put on by the Hawaiʻi Noyce Teacher Scholarship recipients at the Big Island Math Summit. Lesson plans for these activities can be found on the HiNTS website.

http://www2.hawaii.edu/~hints/hints.html

Page 4: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

About the Big Island Math Summit

• The Big Island Math Summit was– a one-day event,– scenario-based,

and– an active learning

professional development opportunity for Big Island teachers.

Page 5: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

WEWE’’VE GOT A VE GOT A MURDER ON OUR MURDER ON OUR

HANDS!!!HANDS!!!•A Mathematics Professor has recently been murdered.

•Prime suspects include 5 HiNTS Scholars.

•Through a series of activities, based upon 5 Texas Instrument activities, clues will be uncovered that will aid in the capture the murderer.

•While 5 activities were conducted at the Math Summit, we will only be doing the first two here due to time frame constraints.

Page 6: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

Tracks of a KillerTracks of a Killer• Upon leaving the

scene of the crime, the murderer left a trail of footprints.

• You are to determine whether or not there exists a relationship between stride length or shoe size and height.

Page 7: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

Hit and RunHit and Run• A stop sign was hit

on the night of the murder and each HiNTS scholar has evidence of bumper damage.

• You will attempt to recreate a hit and run and compare it to vehicle data retrieved from the scholars’ cars.

Page 8: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

Dropped at The Dropped at The SceneScene

• The victim managed to put up a fight leaving the murderer with a bloody nose where drops were discovered at the scene.

• CSI’s evaluated the blood spatter from the crime scene to predict the height of the murderer was between 5’ 7” and 6’1”.

Page 9: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

Suspect RadiusSuspect Radius• Suspects claimed

they were all occupied the day of the murder which occurred in UCB 314.

• The scholars got out of class in UCB 314 at 3:00 pm.

• College Hall is on the other side of campus from UCB.

Page 10: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

t (time)

T

(tem

pe

ratu

re)

100°70°

30°20°

Hot Air, Cold BodyHot Air, Cold Body• To confirm

suspects’ alibi, time of death must be determined.

• A healthy human being retains a normal body temperature of 98.6°F.

• It was determined that the window for the time of death was between 4 and 5 pm.

Page 11: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

OK… Got Time of Death… OK… Got Time of Death… Now What?Now What?

Name: Virgilio “VJ” Viernes

Height: 5’ 7”

Whereabouts: Left class in UCB. Walked across campus to College Hall to meet with Prof. Ruiz

Name: Ashlee Kalauli

Height: 5’ 3”

Whereabouts: At work across campus at the Math Center until she angrily stormed out at 3:55pm.

Name: Jesse Robert

Height: 5’ 7”

Whereabouts: Working the weights at the SLC at the usual time from 3pm - 5pm.

Name: Jay BumanglagHeight: 5’ 6”Whereabouts: Buying a parking pass near STB. Never got the parking pass, and was late to class.

Name: Derek SalinasHeight: 5’ 9”Whereabouts: Outside Lava Lounge, right next to UCB discussing an upcoming paddling event.

Page 12: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =
Page 13: Math Day Murder Mystery Noyce Teacher Scholarship Program Conference May 30, 2013 y = mx + b (a+b) 2 = a 2 + 2ab + b 2 x = e ln(x) cos(x) + i sin(x) =

Text References• Texas Instruments. (2005). Classroom Activities: Dropped at the Scene: Blood

Spatter Analysis. Retrieved from http://education.ti.com/calculators/downloads/US/Activities/Detail?id=6305

• Texas Instruments. (2008). Classroom Activities: Hit and Run: Using Information from an Event Data Recorder to Reconstruct and Accident. Retrieved from http://education.ti.com/calculators/downloads/US/Activities/Detail?id=6379

• Texas Instruments. (2008). Classroom Activities: Hot Air, Cold Body. Retrieved from http://education.ti.com/calculators/downloads/US/Activities/Detail?id=6380

• Texas Instruments. (2008). Classroom Activities: Tracks of a Killer. Retrieved from http://education.ti.com/calculators/downloads/US/Activities/Detail?id=6369

• Texas Instruments. (2012). Forensics: Connecting Science Investigations with TI Data Collection Activities. Retrieved from http://education.ti.com/educationportal/sites/US/nonProductSingle/activitybook_forensics.html