Posts Tagged ‘Purple Comet’

The AwesomeMath newsletter, The Gold Standard has published a series of important dates and useful resources:

Starting with the first round of USAMTS (USA Mathematial Talent Search) due on October 15 and culminating with the IMO (International Mathematics Olympiad) in July, 2014, the season of math competitions is right around the corner.  Are you prepared?  Do you have the resources to help you excel?   With over 30 years of experience teaching, coaching, and mentoring the brightest mathematical minds of our age, Dr. Andreescu’s books are essential for every math enthusiast’s library.  Here are just a few highlights from his distinguished career:

  • Authored, co-authored, and edited more than 40 math books and publications
  • Head coach and leader of the USA International Mathematical Olympiad (IMO) for 8 years
  • Director of the Mathematical Association of American (MAA) American Mathematics Competitions for 5 years
  • Has contributed hundreds of problems to various math competitions including up to and including the IMO
  • Co-founder of the Purple Comet! Math Meet, the first international team based math competition
  • Founder and Director of AwesomeMath, an organization that provides enriching experiences in mathematics to intellectually curious learners

Following is a chart of important dates and resources which will enrich the mathlete’s competition experience:

Date Competition Resource
October 15, 2013
Round 1
USAMTS Mathematical Olympiad Challenges,
Mathematical Olympiad Treasures,
Mathematical Reflections – all volumes
November 18, 2013
Round 2
USAMTS Mathematical Olympiad Challenges,
Mathematical Olympiad Treasures,
Mathematical Reflections – all volumes
November 19, 2013 AMC 8 Purple Comet! Math Meet:  All Ten Years, 105 Algebra Problems
December 7, 2013 Putnam Problems from the Book, Straight from the Book, Putnam and Beyond
January 6, 2014
Round 3
USAMTS Mathematical Olympiad Challenges,
Mathematical Olympiad Treasures,
Mathematical Reflections – all volumes
10A:  February 4, 2014
10B:  February 19, 2014
AMC 10 105 Algebra Problems, 106 Geometry Problems, 107 Geometry Problems,108 Algebra Problems (coming soon)
12A:  February 4, 2014
12B:  February 19, 2014
AMC 12 Mathematical Reflections – all volumes, 105 Algebra Problems, 106 Geometry Problems, 107 Geometry Problems,108 Algebra Problems (coming soon)
AIME I:  March 13, 2014
AIME II: March 26, 2014
AIME Purple Comet! Math Meet: All Ten
Years, Mathematical Reflections – all
April 1-10, 2014 Purple Comet! Math Meet Purple Comet! Math Meet:  All Ten Years
April 29-30, 2014 USAMO Problems from the Book, Straight from the Book, Topics in Functional Equations, Math Olympiad Challenges, Math Olympiad Treasures
July 2014 IMO (South Africa) Math Olympiad Challenges,
Mathematical Olympiad Treasures,
Mathematical Reflections – all volumes



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SmallMathCometMirroredJoin us in the first hour to hear MMC students present some of their favorite problems and mathematical concepts.  In the second hour we will work on problems from the Purple Comet! contest and talk about this exciting opportunity to compete with other students around the world.

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220px-Straight_Square_Inscribed_in_a_Circle_240pxLearn all about the classic theory of geometric objects with only straight edge and compass. What can you construct, and what is impossible? Which regular polygons can you construct? What if you have help by being given a fixed parabola? Come with your pencils and be ready to draw (compasses provided, or bring your own)!

To perform well on geometry problems on math competitions it is necessary to have a deep understanding.  This understanding can be achieved by retracing the footprints of the very first mathematicians whose only tools were a straight edge and compass.

Dr. Kane is one of our most popular lecturers and is recently retired from his position as a professor at the University of Wisconsin – Whitewater.  Along with Dr. Andreescu he is the co-founder and coordinator of the Purple Comet! Math Meet.  Dr. Kane is also the co-chair of the AIME committee and a faculty member at the AwesomeMath summer camp.

Along with his wife, Jane E. Mertz, Jonathan Kane is the author of several important research papers on the role of culture and gender in mathematical achievement including “Debunking Myths about Gender and Mathematics Performance.”

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The Purple Comet!  Math Meet just announced the results for their Spring 2010 Contest.  Congratulations to many of the teams from North Texas who distinguished themselves in this challenging contest.

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Best of luck to all of the teams competing in the 2010 Purple Comet! Math Meet.  For those of you not familiar with this excellent contest here is some information from their web site:

The Purple Comet! Math Meet is an international mathematics competition for middle and high school students. The contest is entirely administered over the Internet from the contest web site at http://purplecomet.org. Teams of from one to six students compete by submitting solutions to a list of mathematics problems. There is a seven-day window (April 12 through April 18) during which teams may compete choosing a start time most convenient for them. The problems range in difficulty from fairly easy to extremely challenging. In 2009 over 7,000 students competed on over 1700 teams from 25 countries.

There are two levels of competition:

  • the middle school contest consists of 20 problems to be completed in 60 minutes;
  • the high school contest consists of 30 problems to be completed in 90 minutes.

There are four categories of teams:

  • teams whose members all attend the same large school;
  • teams whose members all attend the same small school;
  • teams whose members attend more than one school or are home schooled;
  • teams with no restrictions that do not compete for awards.

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This Saturday we return from our MATHCOUNTS hiatus with a great talk by Dr. Jonathan Kane, co-founder of the Purple Comet Math Meet.

Dr. Kane will discuss combining of fractions \frac{a}{b} and \frac{c}{d} by \frac{(a+c)}{(b+d)} to see what happens.  Sometimes this is what is done when combining groups of results and leads to Simpson’s paradox.  This also leads to very interesting behaviors when a teacher wants to drop the lowest grade from a collection of grades not all worth the same amount.  This talk will also touch on algorithms such as greedy algorithms where Dr. Kane will show cases where it works and cases where it does not work.

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PurpleCometThe 2009 Purple Comet!  Math Meet has completed and the full results are posted here.

Many Metroplex Math Circle attendees participated including the Archimedes’ Successors team which earned an Honorable Mention in the mixed middle school division:

  • First Place(tie): Philippine Team A (Mathematics Trainers Guild Philippines), VASS (Longfellow Middle School), All-Asian Social Turndowns (AAST) with 15 out of 15 correct.
  • Fourth Place(tie): Indigo 2 (PRIVATE INDIVIDUAL), Indigo 4 (PRIVATE INDIVIDUAL), Calculators (BASIC Homeschools), Indigo 3 (PRIVATE INDIVIDUAL) with 14 out of 15 correct.
  • Honorable mentions go to ICAE Gauss was a Boss (ICAE), ICAE Bananas (ICAE), Eagles Rumble (Heritage Christian School), Brookings Home School (Brookings Home School), MyTJPrep (Multiple schools/MyTJPrep), Segimwony (St Mary School), Archimedes’ Successors (Eudaimonia Homeschool Academy), Central Maryland Homeschoolers (Central Maryland Homeschoolers)

Designed by Dr. Titu Andreescu and Dr. Jonathan Kane this contest is very challenging.  The Purple Comet organizers provide coaches with the following counsel:

Coaches: Please encourage your teams that scores below 50% are not uncommon. The problems offered in these meets are of the same calibre as those offered in the top national mathematics exams, and can be quite challenging. We are very pleased to see teams performing as well as they have, and we know they will rise to the challenge and perform even better in the meets to come.

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