details on the CJML Video Contest, new this year!

Chicago Junior Mathematics League
CJML Video Contest
The CJML is pleased to announce a new area of competition for the 2014 − 2015 season. Each grade level
of your team can submit up to two video solutions to the problems below.
Judging
The video submissions can earn your team points toward each grade level’s overall total on contest day. Here
are the guidelines:
• Students from each grade level (6,7,8) from your school may submit up to two videos on the given
problem. Each video submitted must be produced by different students, but must all be from the
appropriate grade level. If your school decides to submit two sixth grade videos, there should be
different 6th graders in each video.
• Each video should be no more than five minutes in length.
• The problems are to be solved, and the videos produced by student groups. The bulk of the work
should be done by students. A parent or teacher holding a camera is fine, but solving a problem for
the students is not.
• Videos must be produced by a group of at least two students, and at most five students. Each
participating student’s contribution should be made evident either from an appearance in the video or
a credit at the beginning or end of the video. Indicate names of all students involved (maximum of 5)
in credits or introductions at the beginning or end of the video.
• Points will be awarded as follows.
– Roughly 40% of videos submitted will advance to the final round based on correctness of solution, thoroughness of explanation, and creativity. Each video that advances will earn one
point for their team for advancing.
– The top five videos that advance will earn 5, 4, 3, 2, or 1 points each, respectively, for placing in
the top five. The producers of the top 5 videos will also receive prizes in addition to the team
winning points.
• Creative solutions and presentations are encouraged. Have fun with this!
Submission
• Coaches should select the best two videos for each grade level to submit for judging.
• Coaches should upload videos to google drive and share access with Julienne Au ([email protected]) and
Matthew Moran ([email protected]). Please use the following naming conventions for the videos:
school grade teamnumber contestnumber year.
For example, a submission for CJML 1 for the seventh grade team from Healy in the 2014−2015 school
year should be named as follows, healy 7 team1 contest1 1415.
• All submissions must be shared by 5pm on Monday, October 27, 2014.
Please direct any questions about the contest to Julienne Au ([email protected]) and Matthew Moran ([email protected]).
Coaches who are interested in helping judge the submissions should email Julienne Au ([email protected]) and
Matthew Moran ([email protected]) by the submission deadline.
Problems
• 6th Grade Problem: Compute the area of the shaded region in the diagram below. The large square
has side length of 16 and is cut into four squares with side length 4. Each of the arcs are half circles or
quarter circles. You may assume that the diagram is drawn to scale in order to determine the lengths
of the radii of the quarter and half circles.
• 7th Grade Problem: Bart has a jar full of ants, bees, and caterpillars. He only has whole numbers
of each of these. For example, it is not possible for Bart to have half of an ant, bee or caterpillar, and
he has at least one of each. If the number of ants in the jar is 67 the number of bees in the jar, and the
10
number of ants is 13
the number of caterpillars in the jar, compute the smallest possible total number
of ants, bees and caterpillars together in the jar.
• 8th Grade Problem: You went trick-or-treating on Halloween and collected a total of 125 pieces of
candy. Starting on November 1, 2014, you decide you are going to eat the same number of pieces of
candy every day until your birthday, when you have promised to have exactly 5 pieces of candy left.
How many pieces of candy could you have left on the day before your birthday? What is the date of
your birthday? Note: There are many correct answers to this problem, and you should try to find ALL
of them.

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