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1 BOARD OF EDUCATION Attachment: Information 1 PALO ALTO UNIFIED SCHOOL DISTRICT Date: TO: FROM: Prepared by: SUBJECT: Board of Education Glenn Max McGee, Ph. D., Superintendent Jorge Quintana, Communications Coordinator Staff and Students Successes STRATEGIC PLAN INITIATIVE Governance and Communication Student Successes: Twenty students from J.L. Stanford Middle School can now add published author to their resume. Their work was published this school year in an annual literary and artistic review published by the Stanford Anthology for Youth, which is a nonprofit organization run by students at Stanford University. The following students are featured; Paloma Bauwens (Nonfiction); Naomi Boneh (Fiction); XiLin Choi (Fiction); Lillian Fong (Fiction); Ashley Guo (Fiction & Art); Elaine Han (Fiction); Lucas Huang (Fiction); Banafsheh Hussain (Poetry); Monica Jeon (Poetry); Neha Joshi (Poetry); Liza Kolbasov (Fiction); Zoë Lo (Fiction); Rachel Loran (Fiction); Emma Samson (Poetry); Yael Sarig (Fiction); Christine Tu (Fiction); Savannah Voth (Art); Taylor Yamashita (Fiction); Isabella Yu (Fiction); and Mary Wilkinson (Fiction). The Stanford Anthology for Youth encourages young writers and artists to prepare their art and writing for publication; to help them experience the process of submitting their work to a publication, website, or contest; and to spark conversation between students, parents, and teachers about the topics that are of importance to these writers and artists. Gunn s Boys Varsity Swimming and Diving Team defended its De Anza Division title. The JV Boys and JV Girls Swimming Teams at Gunn both won their championship meets, with Varsity Girls finishing third. The Paly Choir Program was under the spotlight at the recent California Music Association festival. The Concert Choir, Madrigal Singers, and Spectrum Singers all received Unanimous Superior Ratings with Beginning Choir receiving a Superior Rating. Three adjudicators heaped praise on the choirs: Thank you for telling me the story of each song -- Sue Stuart The most musical sight-reading I have heard all day -- Roxanne Pardi Outstanding stage presence, great choice of music -- Sharon Vela Choirs were rated on tone, intonation, interpretation, blend, balance, rhythm, dynamics and literature.

2 A group of mathematicians from Paly makes up one of the two national teams that will represent the USA in the 2nd annual International Mathematical Modeling Challenge, (IM2C). The four students Eric Foster, Andrew Lee, Kathryn Li, and Kangrong (Allison) Zhang, earned the spot along with a second team from Virginia after participating during the 18th Annual High School Mathematical Modeling Contest. A total of 719 teams, with up to 4 students each, from 144 schools, competed. Each high school team chose from two modeling problems offered and then constructed their solutions. All teams worked at their own schools during a designated 36-hour period last fall. The 42-page solution Paly s winning team presented was an example of using the tools of mathematics, statistics, and programming together to solve a real life problem. The Paly team along with the team from Chesterfield County Mathematics/Science High School in Virginia will represent the US in the 2nd Annual International Mathematical Modeling Challenge (IM 2 C) this month. The international judging committee will compare the papers of the top two teams from each of the participating countries. The Paly teachers this year were Judy Choy in Multivariable Calculus, Scott Friedland and Cynthia Chen in Advanced Placement Statistics and Chris Kuszmaul in Computer Science. Mathematics teacher Mr. Radu Toma is their sponsor. This is the second consecutive year that this team qualifies for this competition. Last school year, these very same students earned the top title during the 17th Annual National High School Mathematical Contest in Modeling (HiMCM) and represented the US in the 1st International Math Modeling Contest. Attached to this report are the problems that the team worked on both during the and school years. A Paly student-produced film soon will be featured at a world-class institution in Los Angeles. The film, "Darkest Before Dawn," is a special category winner and will screen at the 50th Annual California Media Festival at Colburn School in June. Paly students produced the film from concept to final cut. The student filmmakers are Griffin Berschauer, Alex Hawthorne, Stas Illysov, and Antonio Kieschnick. Their advanced film teacher is Mr. Brett Griffith. The Mathematical Association of America has named a Paly sophomore as this year s winner of the 45th United States of America Mathematical Olympiad. Mihir Singhal earned the nation s top honor after competing with other juniors and seniors from across the country. Mihir has selected Paly mathematics teacher Mr. Radu Toma to join him in Washington, D.C. where Mihir will be honored at the U.S. Department of Defense.

3 Problem A: Preventing Road Rage 2015 HiMCM Have you ever been traveling down a highway when you see one or both of these signs? In some cases, the road simply loses a lane as it enters a less traveled section. In other cases, the road narrows because of construction or roadwork. When this happens on a fairly busy highway, it may be a recipe for road rage*. Assume we re on a busy two-lane road reducing to a one-lane road. Once a driver sees a sign indicating the right lane is going to end, he or she has a choice: drive in the right lane or drive in the left lane. Often, many drivers move into the left lane fairly quickly. This causes the left lane to become congested and slow down. Some drivers remain in the right lane and are able to maintain their speed (and pass the vehicles in the left lane which are now moving slower). When a lane closure is approaching, there will be signs indicating the distance of the lane closure as it nears (e.g. 1 mile, ½ mile, 500 ft.). As the end of the right lane approaches, some of the right lane drivers merge into the left lane, while others continue heading toward the lane closure. It s at this point that the probability of road rage rapidly increases. Horns blast and gestures are made. Some cars will pull half way into the right lane in an attempt to prevent any cars from passing only to have another vehicle swerve around them and continue toward the lane closure point. At times, a vehicle will stay in the right lane directly next to, and driving at the same speed as, a chosen vehicle in the left lane in an effort to make the travel toward the lane closure fair. Some states have done research on this phenomenon, but there is no consensus around best practices. Your team is tasked to provide a fresh analysis of this issue or add value to any existing analysis. Teams should not simply mimic previous research. Part I: Analyze the various driver actions and their implications in lane closure situations on a major highway. Part II: From your analysis in Part I, address and support fair and efficient driver actions: a) In the case of two lanes merging to one, what is the fairest way for drivers to behave as they approach a lane closure? What is the most efficient way for drivers to behave as they approach a lane closure? Is there a difference between fair and efficient?

4 b) Use your analysis to address and support what drivers should do if a three-lane highway is reducing to two lanes? How should driver behavior change, if at all, if the three-lane highway is reducing to one lane? c) Discuss and support any differences in fair and efficient driver behavior for lane closures on a secondary road with a 35 mile per hour speed limit versus a highway with a 65 mile per hour speed limit. Part III: Policies and Practices a) From your analysis in Parts I and II, develop guidelines for inclusion in the Department of Motor Vehicles driver education materials and signage used by the Department of Highway Safety to encourage appropriate driver actions when approaching a lane closure. b) In addition to the HiMCM contest format, write a one-page cover letter in support of your guidelines and signage to the Director of the Department of Transportation, urging adoption of your recommendations. * Road rage is aggressive or angry behavior by a driver of an automobile or other road vehicle. Such behavior might include rude gestures, verbal insults, deliberately driving in an unsafe or threatening manner, or making threats. Road rage can lead to altercations, assaults, and collisions that result in injuries and even deaths. It can be thought of as an extreme case of aggressive driving. (

5 2015 HiMCM Problem B: City Crime and Safety What can we make of the massive amount of crime statistics collected in major cities? Beyond just reporting numbers, how can we use these data to determine the safeness of a city? Assume that you and your modeling team live in My City, a large international hub of commerce, technology, finance and travel, with a current population of 2.8 million people impacted by a metropolitan area of an additional approximately 6 million people. The data set provided (My_City_Crime_Data.xlsx ) shows two weeks from police reports in My City and includes crimes listed by case number, date of occurrence, primary and secondary crime descriptions, crime location, whether an arrest was made, whether or not this was domestic crime, and the beat number of the police route. Part I: Using mathematical modeling, analyze the data. Create a safety rating for My City. Use your safety rating to specify a measure of how safe My City is. Part II: In addition to the HiMCM contest format, prepare a 1-2 page non-technical report for the Mayor of My City to describe your findings.

2016 IM 2 C Problem Record Insurance In athletics, one of the possible distances to run is 15,000 meters or 15k (in the picture you see the leader in an annual 15k - race in the Netherlands.

6 2016 IM 2 C Problem Record Insurance In athletics, one of the possible distances to run is 15,000 meters or 15k (in the picture you see the leader in an annual 15k - race in the Netherlands. Please see Wikipedia article below). For this type of run, 15k on a street track, there is a world record, as there are records for all other distances that are run in athletics (e.g. the marathon). In such a race, the organizing committee will usually pay a significant amount of money as a bonus to the winner if he or she succeeds in setting a new world record. These amounts of money can get quite large in order to attract top runners: in the race shown in the picture there was a 25,000 euro bonus if the winner succeeded in improving the 15k world record which, by the way, he (un)fortunately did not achieve. Had he done so, there would have been a major financial problem for the organizing committee, since they had not purchased any insurance. Usually, insurance will be purchased by the organizing committee for such a running event, since the financial risks can be quite large. The fee they will have to pay for such insurance will be, of course, significantly lower than the bonus they would have to pay for a world record. Let s define the average cost of the bonus as the ratio of the amount of bonus divided by the expected number of times the event is replicated before the current record is broken. For example, if based on our analysis, we currently expect the record to be broken every 25 repetitions under conditions prevailing for a specified event, then the average cost of the bonus is 1000 euro per race. The first question is: 1. For the 15K run described above with a 25,000 euro bonus what is the average cost of the bonus? The insurance company will add an amount to the computed average cost. The amount of the addition may be very reasonable or not. The insurance company expects to cover their costs and realize a profit over a long time period with multiple subscribers. The organizing committee can decide to purchase the insurance or not (that is, self insure ). 2. What criteria should the insurance company use in determining the amount to add to the average cost for the above race? Specifically, how do they weight each factor in determining their decision? For example, begin by considering the case where the insurer will add 20% to cover his operating costs, time value of money, and realize a profit over a period of time.

3. (a) What criteria should the organizing committee use to determine whether or not they should purchase the insurance? Assume that they intend to sponsor this race many times in the near future.

7 3. (a) What criteria should the organizing committee use to determine whether or not they should purchase the insurance? Assume that they intend to sponsor this race many times in the near future. By self insuring, they expect to save the insurance company s added cost over a period of time. (b) But should they take the risk? Now consider that you are a member of the organizing committee of a major track meet with 20 men s and 20 women s athletic events, including field events (long jump, high jump, etc.) 4. Assume the organizing committee can purchase the insurance or not for each of the 40 events. For example, they may choose to insure 10 of the 40 events. What factors should the organizing committee consider in their decision to purchase insurance or not for each of the events at the meet? Specifically, how do they weight each factor in determining their decision? 5. Develop a general decision-scheme for the organizing committees to determine for each event whether they should purchase insurance or self insure. This scheme should be written in a form easily understood and implemented by a typical organizing committee. Your submission should consist of a 1 page Summary Sheet and your solution cannot exceed 20 pages for a maximum of 21 pages. (The appendices and references should appear at the end of the paper and do not count toward the 20 page limit.) From Wikipedia.org Zevenheuvelenloop From Wikipedia, the free encyclopedia An advertisement for the 2007 race

[2] The race has attained IAAF Label Road Race status. [3] The inaugural edition of the race in 1984 featured only an 11.

8 Zevenheuvelenloop (Seven Hills Run in English) is an annual 15 kilometres road running race held in Nijmegen, Netherlands. It was first organised in 1984 and has grown to be one of the largest road races in the Netherlands; [1] it attracted over 30,000 runners in [2] The race has attained IAAF Label Road Race status. [3] The inaugural edition of the race in 1984 featured only an 11.9 kilometre course as the Dutch athletics federation (Koninklijke Nederlandse Atletiek Unie) would not allow new races to be longer than 12 km. [4] The current undulating, hilly course begins in Nijmegen, follows a path to Groesbeek and then loops back towards Nijmegen to the finish line. [1] Zevenheuvelenloop lends itself to fast times: Felix Limo broke the men's world record in 2001 and, at the 2009 edition, Tirunesh Dibaba broke the women's world record over 15 km. [5][6] In 2010 Leonard Komon improved Limo's still standing World Record. [7] A number of athletes have achieved victory at the Zevenheuvelenloop on multiple occasions; Tonnie Dirks, Tegla Loroupe, Mestawet Tufa, Sileshi Sihine and Haile Gebrselassie have each won the race three times. The 2002 winner, South African Irvette Van Blerk, won the race at the age of fifteen, having entered the race while holidaying in the Netherlands. The race was used as the test event for the development of the ChampionChip personal RFID timing system. [8] Haile Gebrselassie first won in 1994 and won for a third time in Kenya's Tegla Loroupe won the race three times in the 1990s.

9 Key: - Course record, WR - World Record, m:s Minutes:Seconds Edition Year Men's winner Time (m:s) Women's winner Time (m:s) 32st 2015 Joshua Cheptegei (ETH) 42:39 Yenenesh Tilahun (ETH) 50:05 31st 2014 Abera Kuma (ETH) 42:18 Priscah Jeptoo (KEN) 46:56 30th 2013 Leonard Komon (KEN) 42:15 Tirunesh Dibaba (ETH) 48:43 29th 2012 Nicholas Kipkemboi (KEN) 42:01 Tirunesh Dibaba (ETH) 47:08 28th 2011 [9] Haile Gebrselassie (ETH) 42:44 Waganesh Mekasha (ETH) 48:33 27th 2010 Leonard Komon (KEN) 41:13 WR Genet Getaneh (ETH) 47:53 26th 2009 Sileshi Sihine (ETH) 42:14 Tirunesh Dibaba (ETH) 46:29 WR 25th 2008 Ayele Abshero (ETH) 42:17 Mestawet Tufa (ETH) 46:57 24th 2007 Sileshi Sihine (ETH) 42:24 Bezunesh Bekele (ETH) 47:36 23rd 2006 Micah Kogo (KEN) 42:42 Mestawet Tufa (ETH) 47:22 22nd 2005 Haile Gebrselassie (ETH) 41:56 Berhane Adere (ETH) 47:46 21st 2004 Sileshi Sihine (ETH) 41:38 Lydia Cheromei (KEN) 47:02 20th 2003 Richard Yatich (KEN) 42:43 Mestawet Tufa (ETH) 49:06

10 Edition Year Men's winner Time (m:s) Women's winner Time (m:s) 19th 2002 Kamiel Maase (NED) 43:41 Irvette van Blerk (RSA) 51:06 18th 2001 Felix Limo (KEN) 41:29 WR Rose Cheruiyot (KEN) 48:40 17th 2000 Felix Limo (KEN) 42:53 Berhane Adere (ETH) 48:06 16th 1999 Mohammed Mourhit (BEL) 43:30 Lyubov Morgunova (RUS) 49:45 15th 1998 Worku Bikila (ETH) 42:24 Tegla Loroupe (KEN) 50:06 14th 1997 Worku Bikila (ETH) 42:20 Catherina McKiernan (IRL) 48:30 13th 1996 Josephat Machuka (KEN) 43:06 Marleen Renders (BEL) 50:09 12th 1995 Josephat Machuka (KEN) 42:23 Hellen Kimaiyo (KEN) 49:44 11th 1994 Haile Gebrselassie (ETH) 43:00 Liz McColgan (GBR) 49:56 10th 1993 Khalid Skah (MAR) 43:35 Tegla Loroupe (KEN) 50:06 9th 1992 Carl Thackery (GBR) 43:54 Tegla Loroupe (KEN) 50:53 8th 1991 Tonnie Dirks (NED) 44:09 Ingrid Kristiansen (NOR) 48:46

11 Edition Year Men's winner Time (m:s) Women's winner Time (m:s) 7th 1990 Tonnie Dirks (NED) 44:53 Carla Beurskens (NED) 52:06 6th 1989 Tonnie Dirks (NED) 43:31 Carla Beurskens (NED) 50:36 5th 1988 Robin Bergstrand (GBR) 46:20 Marianne van de Linde (NED) 52:53 4th 1987 Marti ten Kate (NED) 45:11 Gerrie Timmermans (NED) 57:16 3rd 1986 Sam Carey (GBR) 46:20 Denise Verhaert (BEL) 53:33 2nd 1985 Klaas Lok (NED) 45:28 Joke Menkveld (NED) 57:28 1st 1984 Leon Wijers (NED) 36:55 Anne Rindt (NED) 45:48 Statistics Winners by country M Country Men's race Women's race Total Ethiopia Netherlands Kenya United Kingdom 3 1 4

12 Belgium Ireland Morocco Norway Russia South Africa References General Krol, Maarten & van Hemert, Wim ( ). Zevenheuvelenloop 15 km. Association of Road Racing Statisticians. Retrieved on Specific 1. van Hemert, Wim & Turner, Chris ( ). Bekele lines-up for 'first serious' road race at 25th anniversary edition of the Seven Hills. IAAF. Retrieved on van Hemert, Wim ( ). Tufa just shy of 15Km World record in Nijmegen - UPDATED. IAAF. Retrieved on IAAF Label Road Race Events. IAAF (2009). Retrieved on Krol, Maarten & van Hemert, Wim ( ). Zevenheuvelenloop 15 km. Association of Road Racing Statisticians. Retrieved on Dibaba shatters 15Km World record in Nijmegen. IAAF ( ). Retrieved on van Hemert, Wim ( ). Dibaba and Sihine lead the fields in Nijmegen. IAAF. Retrieved on "Komon breaks World 15Km record in Nijmegen". (IAAF) Retrieved Hetger, Colin ( ). South African wins Netherlands Race. ChampionChip. Retrieved on van Hemert, Wim ( ). Gebrselassie heads Ethiopian double in Nijmegen. IAAF. Retrieved on

May 11, 2016 NEWS RELEASE The Consortium for Mathematics and its Applications (COMAP) is pleased to announce the selection of the two teams moving on to represent the USA in the 2nd annual

13 May 11, 2016 NEWS RELEASE The Consortium for Mathematics and its Applications (COMAP) is pleased to announce the selection of the two teams moving on to represent the USA in the 2nd annual International Mathematical Modeling Challenge, (IM 2 C). The teams were chosen from the 318 teams that represented the USA in the 2015 High School Mathematical Contest in Modeling (HiMCM) contest. IM 2 C Teams Chesterfield County Math/Science High Clover Hill, Advisor: Pete Peterson Students: Krishna Gandhi, Emily Shepherd, Gabriela Velazquez, Amanda Pham Palo Alto High School, Advisor: Radu Toma Students: Eric Foster, Kangrong Zhang, Andrew Lee, Kathryn Li The International Mathematical Modeling Challenge, IM 2 C The purpose of the IM 2 C is to promote the teaching of mathematical modeling and applications at all educational levels for all students. It is based on the firm belief that students and teachers need to experience the power of mathematics to help better understand, analyze and solve real world problems outside of mathematics itself and to do so in realistic contexts. The Challenge is being launched in the spirit of promoting educational change. For more information about the IM 2 C visit: For more information about the HiMCM contest visit:

14 2016 The International Mathematical Modeling Challenge USA Regional Contest Results Ctrl # Designation Institution Advisor Location 5538 Palo Alto High School Regional Outstanding Radu Toma Palo Alto CA 5958 Chesterfield County Math/Sci HS Regional Outstanding Pete Peterson Midlothian VA 5398 Walter Payton College Prep High School Finalist Scott Galson Chicago IL 5421 Woodbridge High School Finalist David Gesk Irvine CA 5642 The Masters School Finalist John Chiodo Dobbs Ferry NY 5832 Evanston Township High School Finalist Glenford Gordon Evanston IL 5962 Chesterfield County Math/Sci HS Finalist Pete Peterson Midlothian VA 6117 llinois Mathematics and Science Academy Finalist Steven Condie Aurora IL 6128 llinois Mathematics and Science Academy Finalist Steven Condie Aurora IL 6182 Finalist Stanford University Online High School Elena Zaurova Stanford CA 5425 Woodbridge High School Successful Participant David Gesk Irvine CA 5438 Woodbridge High School Successful Participant David Gesk Irvine CA 5487 University High School Successful Participant Stephanie Chang Irvine CA 5531 Clarkstown South High School Successful Participant Mary Gavioli West Nyack NY 5543 Roanoke Valley Governor's School Successful Participant Lee Ann Russell Roanoke VA 5558 Eastside High School Successful Participant Michael Banaszek Gainesville FL 5559 Eastside High School Successful Participant Michael Banaszek Gainesville FL 5709 Des Moines Public Schools Successful Participant Michael Marcketti Des Moines IA Page 1

15 2016 The International Mathematical Modeling Challenge USA Regional Contest Results Ctrl # Designation Institution Advisor Location 5710 Des Moines Public Schools Successful Participant Michael Marcketti Des Moines IA 5712 Christ School Successful Participant Bryan Martin Arden NC 5767 The O'Neal School Successful Participant Elizabeth Ciskowski Southern Pines NC 5768 HERMITAGE SCHOOL DISTRICT Successful Participant TOM COCHRAN HERMITAGE PA 5772 Oregon Episcopal School Successful Participant Lauren Shareshian Portland OR 5791 Evanston Township High School Successful Participant Mark Vondracek Evanston IL 5792 Evanston Township High School Successful Participant Mark Vondracek Evanston IL 5909 Oxbridge Academy Successful Participant Greta Mills West Palm Beach FL 5941 Holy Ghost Preparatory School Successful Participant Gerri Carmine Philadelphia PA 5943 Manalapan High School Successful Participant Jessy Friedman Englishtown NJ 5955 Glenbrook North High School Successful Participant Brad Benson NORTHBROOK IL 5963 Chesterfield County Math/Sci HS Successful Participant Pete Peterson Midlothian VA 5965 Chesterfield County Math/Sci HS Successful Participant Pete Peterson Midlothian VA 6006 Washtenaw International High School Successful Participant John Basler Ypsilanti MI 6018 Mills Godwin High School Successful Participant Todd Phillips Henrico VA 6046 Chesterfield County Math/Sci HS Successful Participant Pete Peterson Midlothian VA 6072 Francis W. Parker Charter Essential School Successful Participant Diane Kruse Devens MA 6080 NC School of Science and Mathematics Successful Participant Daniel Teague Durham NC Page 2

16 2016 The International Mathematical Modeling Challenge USA Regional Contest Results Ctrl # Designation Institution Advisor Location 6084 Successful Participant NC School of Science and Mathematics Daniel Teague Durham NC 6129 llinois Mathematics and Science Academy Successful Participant Steven Condie Aurora IL 6130 llinois Mathematics and Science Academy Successful Participant Steven Condie Aurora IL 6176 Successful Participant Stanford University Online High School Elena Zaurova Stanford CA Page 3

Win-Win Transportation Solutions

Win-Win Transportation Solutions Todd Litman Victoria Transport Policy Institute Presented Lipinski Symposium on Transportation Policy Chicago, Illinois 15 October 2007 What is The Transportation Problem?