Tuesday, November 16, 2010
CONTEST! Just Another "Rate-Time-Distance" Problem?
CONTEST IS OFFICIALLY OVER AND THE WINNER IS ----- NO ONE! Guess I should have offered a 64GB 3G IPad! to be awarded on Black Friday...
The floor is now open for David, Curmudgeon, and my other faithful readers to offer their own solutions.
And the next contest is...
This is a contest so students must work alone and this needs to be verified by a teacher or parent. No answer will be posted at this time. Deadline is Wed 11-17-10 at 4 PM EST.
Here's a variation on the classic motion-type problems we don't see as often in Algebra I/II but still appear on the SATs. I found this in some long-forgotten source of excellent word problems to challenge NINTH graders!
Barry walks barefoot in the snow to school in the AM and back over the same route in the PM. The trip to school first goes uphill for a distance, then on level ground for a distance and finally a distance downhill. Barry's rate on any uphill slope is 2 mi/hr, any downhill slope is 6 mi/hr and 3 mi/hr on level ground. If the round trip took 6 hours (hey, these are the old days in the 'outback'), what was the total number of miles walked?
First five correct answers with complete detailed solutions emailed to me at dmarain@gmail.com will receive a downloaded copy of my new book of Challenge Problems for the SATs and Beyond when it becomes available. Both the student and teacher(s) will receive this. (Illegal to reproduce or send electronically!). Read further...
Submission by email must include (Number these in your email and copy the validation as well).
1. Answer and complete detailed solution. If answer is correct but method is sketchy or flawed, the submission will be rejected.
2. Full name of student
3. Grade of student
4. Math course(s) currently taking
5. Math teacher's name(s) and parent's name(s)
6. Name, Complete Address of School; Principal's Name & Email address (if known)
7. Email addresses of teacher(s), parents, student
8. Phone number (in case I need to call you) - Optional
9. How your or your teacher or parent became aware of MathNotations.
VALIDATION
I certify that my student (child) did the work independently.
--------------------------------------------------------------------------------
Name of Teacher or Parent (if work done at home)
"All Truth passes through Three Stages: First, it is Ridiculed... Second, it is Violently Opposed... Third, it is Accepted as being Self-Evident." - Arthur Schopenhauer (1778-1860)
"You've got to be taught To hate and fear, You've got to be taught From year to year, It's got to be drummed In your dear little ear. You've got to be carefully taught." --from South Pacific
Posted by Dave Marain at 12:41 PM 5 comments
Labels: algebra, contest, math contest, online math contest, rate-time-distance problems
Tuesday, November 3, 2009
RESULTS OF THIRD MATHNOTATIONS CONTEST and OTHER NEWS...
FINALLY -- THE RESULTS ARE IN!!
I apologize for the delay in getting these results out. The participating schools have all been notified.
NOTE: If any participating school did not receive an email from me, the advisor should email me. Also, if I misspelled anyone's name pls let me know and I'll correct it immediately!
INITIAL COMMENTS ON CONTEST, ETC...
- MEAN SCORE: 5.6 PTS OUT OF 12
- TOPICS INCLUDED Number Theory, Geometric Sequences, Function Notation, Geometry, Discrete Math, Quadratic Functions, and Absolute Value Inequalities (advanced level)
- Twenty schools registered from around the world, but only about half were able to actually give the contest.
- I will post the open-ended number theory problem later on but I didn't want to take away from recognizing the efforts of these outstanding students and their dedicated advisors.
- The next contest will be announced in a few weeks. Sign up early!
- After the 5th contest, you will be able to purchase all contests and solutions via download.
THIS WAS A CHALLENGING CONTEST, PARTICULARLY FOR YOUNGER STUDENTS, ALTHOUGH, AS YOU CAN SEE BELOW, THEY HELD THEIR OWN!! CONGRATULATIONS TO ALL PARTICIPANTS FOR A JOB WELL DONE!
FIRST PLACE - 12 OUT OF 12 POINTS!
CHILES HIGH SCHOOL
TALLAHASSEE, FL
Marshall Jiang - 11th
William Dunn - 12th
Wayne Zhao - 9th
Andrew Young - 11th
Jack Findley - 12th
Danielo Hoekman - 11th
Advisor, Steve Friedlander
SECOND PLACE - 11 OUT OF 12 PTS
HARVEST PARK MIDDLE SCHOOL
PLEASANTON, CA
Eugene Chen - 8th
Jerry Li - 8th
Brian Shimanuki - 8th
Christine Xu - 8th
Jeffrey Zhang - 8th
Ian Zhou - 8th
Advisor, Randall S. Lomas
THIRD PLACE - 9 OUT OF 12 PTS
CANADIAN ACADEMY - PINK PANDA TEAM
KOBE, JAPAN
Kevin Chen - 11th
Sean Qiao - 11th
Alice Fujita - 11th
Cathy Xu - 11th
Steven Jang - 11th
Sooyeon Chung - 10th
Advisor, Ms. Elizabeth Durkin
FOURTH PLACE - 7 OUT OF 12 PTS
CANADIAN ACADEMY - BLACK SWAN TEAM
KOBE, JAPAN
Hyun Song - 11th
Max Mottin - 11th
Ron Lee - 10th
Kyoko Yumura - 10th
Selim Lee - 10th
Evangel Jung - 10th
Advisor, Ms. Elizabeth Durkin
FIFTH PLACE - 4 OUT OF 12 POINTS
MEMORIAL MIDDLE SCHOOL - TEAM DAVID
FAIR LAWN, NJ
David Bates - 8th
Isaiah Chen - 8th
Kajan Jani - 8th
Thomas Koike - 8th
Priya Mehta - 8th
Joseph Nooger - 8th
Advisor, Ms. Karen Kasyan
SIXTH PLACE TIE
WALLINGTON JR/SR HS - SENIOR TEAM
WALLINGTON , NJ
Nicole Bacza - 12th
Tomasz Hajduk - 12th
Martyna Jezewska - 12th
Thomas Minieri - 12th
Urszula Nieznelska - 12th
Damian Niedzielski - 12th
Advisor, Stephanie Regetz
FAIR LAWN HS - TEAMS A & B
FAIR LAWN, NJ
Team A
Egor Buharin - 12th
Kelly Cunningham - 12th
Elizabeth Manzi - 12th
Gurteg Singh - 12th
Daniel Auld - 12th
Richard Gaugler - 12th
Team B
David Rosenfeld - 12th
Gil Rozensher - 12th
Roger Blumin - 9th
Mike Park - 9th
Jason Bandutia - 9th
Alexander Lankianov - 9th
Advisor, Victoria Velasco
SEVENTH PLACE TIE
WALLINGTON JR/SN HS
WALLINGTON, NJ
Junior Team
Konrad Plewa - 11th
Matthew Kmetz - 11th
Eman Elhadad - 11th
Patrick Sudol - 10th
Marek Kwasnica - 10th
Anna Jezewska - 10th
Advisor, Stephanie Regetz
MEMORIAL MIDDLE SCHOOL - TEAM SIMRAN
FAIR LAWN, NJ
Simran Arjani - 8th
Aramis Bermudez - 8th
Allan Chen - 8th
Kateryna Kaplun - 8th
Harsh Patel - 8th
Advisor, Ms. Karen Kasyan
Posted by Dave Marain at 9:00 AM 0 comments
Labels: math contest, MathNotations Contest, online math contest
Sunday, October 4, 2009
MathNotations Third Online Free Math Contest Update and Sample "Proof"
There is still time to register for the upcoming MathNotations Third Online Math Team Contest, which should be administered on one of the days from Mon October 12th through Fri October 16th in a 45-minute time period.
Registration could not be easier this time around. Just email me at dmarain "at" "gamil dot com" and include your full name, title, name and full address of your school (indicate if Middle or Secondary School).
Be sure to include THIRD MATHNOTATIONS ONLINE CONTEST in the subject/title of the email. I will accept registrations up to Fri October 9th (exceptions can always be made!).
- Your school can field up to two teams with from two to six members on each. (A team of one requires special approval).
- Schools can be from anywhere on our planet and we encourage homeschooling teams as well.
- The contest includes topics from 2nd year algebra (including sequences, series), geometry, number theory and middle school math. I did not include any advanced math topics this time around, so don't worry about trig or logs.
- Questions may be multi-part and at least one is open-ended requiring careful justification (see example below).
- Few teams are expected to be able to finish all questions in the time allotted. Teams generally need to divide up the labor in order to have the best chance of completing the test.
- Calculators are permitted (no restrictions) but no computer mathematical software like Mathematica can be used.
- Computers can be used (no internet access) to type solutions in Microsoft Word. Answers and solutions can also be written by hand and scanned (preferred). A pdf file is also fine.
The following is a sample of the open-ended "proof-type" questions on the test:
Explain why each of the following statements is true. Justify your reasoning carefully using algebra as needed.
The square of an odd integer leaves a remainder of 1 when divided by
(a) 2
(b) 4
(c) 8
I may post a sample solution to this or you can include this in your comments to this post.
Posted by Dave Marain at 8:44 AM 0 comments
Labels: math contest, MathNotations Contest, open-ended, proof