MAA AMC 8

175 Pages·2010·1.68 MB·English

A
M
2009
25th Annual
MAA
C
AMC 8
Summary of Results
and Awards
Learning Mathematics
8
Through Selective Problem Solving
amc.maa.org
Examinations prepared by a subcommittee of
the American Mathematics Competitions
and administered by the office of the Director
©2010 The Mathematical Association of America
The
American Mathematics
Competitions
are sponsored by
The Mathematical Association of America
and The Akamai Foundation
Contributors:
Academy of Applied Sciences
American Mathematical Association of Two-Year Colleges
American Mathematical Society
American Statistical Association
Art of Problem Solving
Awesome Math
Canada/USA Mathcamp
Casualty Actuarial Society
D.E. Shaw & Company
IDEA Math
Institute for Operations Research and the Management Sciences
Math Zoom Academy
Mu Alpha Theta
National Council of Teachers of Mathematics
Pi Mu Epsilon
Society of Actuaries
U.S.A. Math Talent Search
W. H. Freeman and Company
Wolfram Research Inc.
Table Of COnTenTs
2010 USAMO Winners meet with John P. Holdren ............................................2
Report of the Director ..........................................................................................3
I. Introduction ....................................................................................................3
II. General Results ..............................................................................................3
III. Statistical Analysis of Results .........................................................................3
Table 1 - School & Student Registrations & Averages .....................................4
Table 2 - Participation & Average Score by Grade Levels .................................4
IV. School Plaque/Nameplates ............................................................................4
V. 2009 State Top Student Plaque ......................................................................5
VI. Area of Participation .....................................................................................5
VII. Date and Format of the 2010 AMC 8 .........................................................5
VIII. Acknowledgement......................................................................................6
IX. State Directors, Sponsors, Donors and Committees ......................................6
XI. Final Comments ...........................................................................................6
Regions of the aMC 8..........................................................................................7
Message from the aMC 8 Chair ...........................................................................8
Message from the CaMC Chair ...........................................................................9
sliffe awards for Distinguished Mathematics Teaching in the Middle school ....10
2009 AMC 8 Edyth May Sliffe Award Winners ................................................11
Current & Former Sliffe Winners Attending Reception ......................................14
2009 Sliffe Winners Attending Reception .........................................................14
aMC 10 and aMC 12 .......................................................................................15
aMC Committees ..............................................................................................16
AMC 8 Committee ..........................................................................................16
Advisory Board on the American Mathematics Competitions ...........................16
AMC Executive Committee ..............................................................................17
Problem Panel ...................................................................................................17
sponsors and Donors .........................................................................................20
Sponsors ...........................................................................................................20
Contributors .....................................................................................................20
state Directors aMC 8 .......................................................................................21
school Honor Roll .............................................................................................22
United States ....................................................................................................22
International ...................................................................................................25
school Merit Roll ...............................................................................................27
United States ....................................................................................................27
International .....................................................................................................33
Students taking the 2010 AMC 10 at Colorado University. ...............................35
2009 Perfect scores ............................................................................................36
United States ....................................................................................................36
International .....................................................................................................39
Distinguished Honor Roll ..................................................................................41
United States ....................................................................................................41
International .....................................................................................................53
2010 USAMO Graders in Washington, D.C. ...................................................70
Honor Roll .........................................................................................................71
United States ....................................................................................................71
Steve Dunbar meets with the 2010 USAMO Winners ....................................103
International ...................................................................................................104
student achievement Roll ...............................................................................135
United States ..................................................................................................135
2010 NCTM Conference ..............................................................................146
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Table of Contents continued
International ...................................................................................................147
Rank listings ...................................................................................................154
Table 3 - Schools by State/Province/Country ..................................................154
Table 4 - Student Enrollment by State/Province/Country ...............................154
Results by Gender – Table 5 .............................................................................155
Graph 5 ..........................................................................................................156
Results by Grade level - Table 6 ......................................................................157
Graph 6 ..........................................................................................................158
aMC 8 score Comparison ..............................................................................159
Table 7 ............................................................................................................159
Graph 7 ..........................................................................................................160
Item Difficulty .................................................................................................161
Table 8 ............................................................................................................161
appendix - school abbreviations ......................................................................162
Index ................................................................................................................163
Current & Former Sliffe Winners Breakfast Reception, 2010 ...........................170
2010 aMC 8 Registration form .......................................................................171
2010 USAMO Winners meet with John P. Holdren
The 2010 USA Mathematical Olympiad Winners at the awards reception in Washington, D.C.
pose for a picture with John P. Holdren, Assistant to the President for Science and Technology
and Director of the White House Office and Science Technology Policy.
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RePORT Of THe DIReCTOR
I. InTRODuCTIOn
I am pleased to announce that over 150,000 students from
more than 2,250 schools participated in the 2009 AMC 8
contest. Many dedicated mathematics teachers provided an
opportunity for students to participate in this national exam,
and the Committee created an exam which was both “exciting
and challenging”. A hearty thanks to all of you for continuing to recognize
the fact that the AMC 8 plays a complementary role in support of the junior
high/middle school mathematics curriculum.
II. GeneRal ResulTs
This summary includes a listing of the results and awards associated with
the 25th annual AMC 8, which was held on Tuesday, November 17, 2009.
PLEASE NOTE THAT THE 2010 AMC 8 WILL BE HELD ON TUESDAy,
NOVEMBER 16, 2010.
From the responses received from many of the contest managers, it is evident
that the examination was once again well received by the students and teachers.
A comparison of the 2009 statistics shows that this year’s contest was compa-
rable to the 2008. A total of 163 perfect scores were recorded (334 in 2008)
while the national average moved to 10.28 (11.45 in 2008). The AMC 8
Committee is in its final stage of preparation of the 2010 exam and I expect it
to be similar to the 2009 edition. A four-year statistical comparison of results
is given in Section III.
We sincerely hope that your school administrators will continue to support
your future requests for funds to enable your students to participate in this
academic activity which is consistent with the standards set by the National
Council of Teachers of Mathematics.
On behalf of the AMC 8 committee, I express my appreciation to all of the
school contest managers and their associated teachers, school counselors and
administrators for providing an opportunity for their students to participate
in the 2009 AMC 8. I particularly would like to express my gratitude to those
teachers who personally paid the fees associated with the contest. Their dedi-
cation to the profession is certainly noteworthy and beyond the call of duty.
III. sTaTIsTICal analysIs Of ResulTs
a fOuR yeaR COMPaRIsOn
Please note that the word “recorded” used throughout this section should be interpreted
as indicating that the results are based on only the items that were mark-sensed by
the students. Some of the students failed to mark items such as their grade or gender.
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Report of the Director, continued
Table 1 - school & student Registrations & averages
2009 2008 2007 2006 2005
Registered schools 2,256 2,396 2,359 2,269 2,629
Registered students 169,150 178,160 172,090 169,650 172,380
Schools sending in results 2,372 2,296 2,260 2,235 2,504
Answer forms received 150,733 148,731 150,618 147,210 143,428
Recorded female participants 68,149 68,485 69,859 68,145 67,655
Recorded male participants 79,138 77,427 77,709 76,283 73,275
Average Top Score 17.83 19.62 17.77 18.08 17.51
Average of all participants 10.28 11.45 9.87 10.14 9.835
Average of female participants 9.66 10.85 9.28 9.61 9.32
Average of male participants 10.85 12.00 10.42 10.64 10.34
Perfect papers 163 334 129 293 79

Table 2 - Participation & average score by Grade levels
Participation by Recorded Grade Levels
GRaDe 2009 2008 2007 2006 2005 2004 2003
4 & 5 3,874 2,698 3,170 1,853 2,014 1,496 1,553
6 20,688 19,726 18,687 16,639 14,268 15,248 15,414
7 50,218 48,889 49,594 48,479 48,418 51,679 53,170
8 73,220 75,002 76,907 78,038 76,877 84,399 86,542
Average Score by Recorded Grade Levels
GRaDe 2009 2008 2007 2006 2005 2004 2003
4 & 5 9.45 10.75 8.48 8.21 8.05 8.15 7.62
6 9.17 9.88 8.19 8.51 8.16 8.51 8.58
7 10.08 11.18 9.51 9.82 9.37 9.55 9.77
8 10.82 12.07 10.60 10.75 10.52 10.48 10.93
There were a total of 3,273 school winners at 2,372 schools, and the follow-
ing number of certificates were sent to schools: Gold – 9,073, Silver- 11,882,
Bronze- 14,465. While the AMC 8 is primarily intramural, the national results
make some comparison at that level viable, but the examination, which has
no established norms, is comparable to neither classroom nor placement tests.
IV. sCHOOl Plaque/naMePlaTes
The AMC 8 School Winner Plaque is a beautiful 9”x12” plaque with space for
12 engraved name plates with the names of your year-by-year school winners.
Teachers who gave the AMC 8 (then known as the AJHSME) in the 1980’s
and 1990’s will remember the AMC provided an initial plaque and a school
winner plate each year to schools participating in the AMC 8. Comments from
teachers told us you missed having this recognition program for your math
scholars. In your AMC 8 report from December 2009 you will find the web
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Report of the Director, continued
address that will allow you to order directly from our supplier. The AMC pays
for the initial plaque and engraved name plate in the first year and the annual
engraved plates in subsequent years.
V. 2009 sTaTe TOP sTuDenT Plaque
This year we are presenting 154 Top Student Plaque awards. This plaque is awarded
to the top scoring student in each state, all of the U.S. Territories, and Canada. This
student award program that began in 1991 will continue to be presented on an annual
basis. you will note, this Summary contains photos of some of last year’s awardees.
VI. aRea Of PaRTICIPaTIOn
Participation in the AMC 8 extends beyond the USA. Registrations were re-
ceived from APO/FPO Schools (Junior High or Middle Schools associated with
U.S. military bases abroad), American schools associated with U.S. Embassies,
U.S. Territories (Guam, Puerto Rico and the Virgin Islands), and foreign schools
(including a group of from Taiwan, Canada, Singapore and other international
schools), for a total of 24,556 students. Recognition is hereby given to those
teachers abroad who have provided an opportunity for their students to par-
ticipate in the AMC 8. A complete list of participating schools from foreign
countries and U.S. territories is found in this summary. We are grateful to the
Department of Defense for providing the financial support which enabled the
students in its dependent schools to participate in the AMC 8.
VII. DaTe anD fORMaT Of THe 2010 aMC 8
The date of the 2010 AMC 8 is Tuesday, November 16th. The exam will again
be a 40 minute, twenty-five question, multiple-choice contest. The scoring
procedure will be the same as in 2009: one point will be given for each correct
answer. Registration materials will be mailed to schools during the months
of May, September, and October. If you wish to register now, you may do so
online at www.math.unl.edu/~amc/registration/. Or, for your convenience, a
2010 Registration Form has been included on page 171. Alternately, you can
find a copy of the registration form online at amc.maa.org. We hope that your
school will participate again in the 2010 AMC 8.
Completion of your registration as early as possible is always appreciated.
Contest materials will be mailed in October and early November, so there is
ample time for planning and completion of pre-contest activities. We would
be most grateful if you would encourage neighboring schools to participate
in the AMC 8.
The National Association of Secondary School Principals will continue to
place the AMC 8 on its advisory list of contests and activities for 2010-2011.
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Report of the Director, continued
VIII. aCknOwleDGeMenT
We are fortunate to have dedicated staff members who fulfill the responsibilities
associated with the entire examination process in a timely and efficient manner.
One can imagine all of the expected and unexpected duties and operations
which must be completed during the examination year. AMC staff members
who worked on the 2009 AMC 8 include Marsha Conley, Whitney Emanuel,
Sonia Freeman, Lisa Hoffman, Rachelle Jensen, Terri McKee, Lynette White,
and Shelly Zysset. Our University student helper is Wen Luo. I welcome this
opportunity to commend their excellent work.
IX. sTaTe DIReCTORs, sPOnsORs, DOnORs anD
COMMITTees
In this summary you will find a current list of the AMC 8 State Directors,
sponsors, donors, members of the Committee on the American Mathematics
Competitions (CAMC), and AMC 8 committee. In addition, the members
of the American Mathematics Competitions (AMC) Panel are listed, and they
are hereby recognized for submitting and reviewing potential problems for the
examinations of the AMC 8. The work of the State Directors is significant
to the success of the AMC 8. They send follow-up mailings and attend state
mathematics meetings to give talks about the examination in order to encourage
more schools to participate. The Directors and Panelists receive no financial
compensation for their work. The CAMC recognizes these individuals for their
outstanding dedication to the profession of mathematics educators.
Special recognition is given for the work of the AMC 8 and CAMC committee
members. They devote considerable time, under the direction of Margie Raub
Hunt (AMC 8 Chair) and David Wells (CAMC Chair), reviewing examination
policy, proposing problems, and developing the examination. The contribu-
tions of our sponsors and donors are hereby recognized. The significance of
the examination is greatly enhanced by their continued support.
X. COnTRIbuTIOns Of THe unIVeRsITy Of nebRaska
The AMC office has been located at the University of Nebraska in Lincoln since
1970. For the past 39 years the University has made significant contributions
in support of the AMC including providing utilities, office space, and the use
of university facilities.
XI. fInal COMMenTs
I welcome and appreciate your comments regarding this Summary and the
procedures associated with the AMC 8.
steven Dunbar, Director
The Mathematical Association of America American Mathematics Competitions
University of Nebraska - Lincoln, 1740 Vine Street
Lincoln, NE 68588-0658
Phone: [phone] | Fax: [phone] | [email protected]
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ReGIOns Of THe aMC 8
Listed below are the eleven regions of the U.S.A. and Canada.
REGION
0 Connecticut, Maine, Massachusetts, New Hampshire, Pennsylvania,
Rhode Island, Vermont
1 New Jersey, New york
2 Delaware, District of Columbia, Maryland, North Carolina, South
Carolina, Virginia, West Virginia
3 Alabama, American Embassy and APO/FPO schools, Florida, Georgia,
Puerto Rico, Virgin Islands
4 Indiana, Michigan, Ohio
5 Arkansas, Iowa, Kansas, Minnesota, Nebraska, North Dakota, Okla-
homa, South Dakota, Wisconsin
6 Illinois, Kentucky, Missouri, Tennessee
7 Louisiana, Mississippi, Texas
8 Alaska, Arizona, Colorado, Guam, Hawaii, Idaho, Montana, Nevada,
New Mexico, Oregon, Utah, Washington, Wyoming
9 California
10 Canada (Alberta, British Columbia, Manitoba, New Brunswick, New-
foundland & Labrador, Northwest Territories, Nova Scotia, Nunavut,
Ontario, Prince Edward Island, Quebec, Skatchewan, and yukon)
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MessaGe fROM THe aMC 8 CHaIR
Dear Teachers and Parents,
Thank you for sharing the 2009 AMC 8 Contest with your
children. Hopefully, this experience will be an opportunity
into the world of mathematical excellence and fun. More
than thirty mathematics teachers and professors across the
nation have worked for over a year to create the 40-min-
ute contest filled with a 25-item mix of basic, puzzling,
challenging, and even humorous problems.
Activities like the AMC 8 contest allow and encourage students to excel in
the mathematical arena. This contest is a rewarding experience where math-
ematical curiosity and skill are stimulated. The series of contests sponsored by
the American Mathematics Competitions is designed to inspire an interest in
mathematics that will lead to academic success, scholarship, and hopefully a
rewarding career. Competence in mathematics and mathematical understand-
ing leads one professionally and personally to a successful and an enriched life.
Of course, one of the best parts of the contest occurs immediately after your
children have taken the test. The members of the AMC 8 committee hope that
you use this opportunity to talk about mathematics with your children. Use the
alternate solutions to elicit creative approaches to the problems. Perhaps some
new mathematical concepts can be explained to the younger middle school
students who will soon be eighth graders. Talk with your children about which
problems were easier or harder and why.
Finally, thank you for all you do on a daily basis to help your children reach their
potential as better mathematics students. you are one of our nation’s greatest
resources for insuring all children a rich and rewarding future by promoting
knowledge and understanding.
Thank you,
Dr. Margie Raub Hunt, AMC 8 Chair
2169 Madero Drive
The Villages, Florida 32159-9412
[email protected]
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