[CabotCommunity] Cabot Math Challenge - Problem #1

[Jo Doherty]

Dear Cabot Community 

Cabot School has launched an exciting new program - The Cabot Math
Challenge.  We are hoping all Cabot students, 

faculty and staff will try the monthly math problem.  The first problem is
below.  Please encourage your child to participate.  

Our thanks go to Cabot parent volunteers Emily Hess & Shara Lewis for
instigating & launching this great new intiative!!

 

More information about the Challenge can be found below (after the problem).
The problem can also be found at http://www.cabotpto.org/ 

 

Cabot Math Challenge 

Problem #1 

Submit by November 16, 2006 

 

Show your work. It is more important than the answer. Submissions that do
not show how you found the solution will not be included.  

Showing your work can include an equation, a picture or a written
description. 

 

PROBLEM #1 -- STAIRWAY TO THE ROOF 

Cabot School Students have decided to build a stairway to the roof.  The
stairway is made of cubes.   

The cubes are all 1 foot tall by 1 foot wide by 1 foot deep. 

 

1. How many cubes would be needed to make the stairway 5 steps high? 

2. How many cubes would be needed to make the stairway 9 steps high? 

3. How many cubes would be needed to make the stairway 45 steps high? 

4.  If the school is 115 feet high, how many cubes would be needed to build
a stairway that reaches the roof? 

5. Can you describe a pattern? Can you find an equation to determine the
number of cubes needed to make a stairway for any given height? 

 

Important information about the Challenge 

* Students should complete as much of the problem as they can.  Anyone that
does their best and shows their work will be considered a participant.   

* Students can alone or in groups.  Parents, friends, siblings, etc. can
help with the problem. Include the names of everyone that helped on the
Submission Sheet.  

   Also include the teacher for all Cabot Students that helped.   A
submission sheet is attached. 

* Please submit answers, by November 16, 2006, to the Math Challenge Box in
any of the following Rooms: 

     1st Floor - Mrs. Robertson Room 

     2nd Floor - Mr. Tirrell Room 

     3rd Floor - Mrs. Moriarty Room 

* Sample of student's work will be posted on the Math Challenge Bulletin
Board (located across from the art room) and on the Cabot PTO web site after
November 20, 2006.  Next month's challenge will be posted the first week in
December. 

* The solution will be sent out as an attachment with the next JabberLite,
due to be sent out on Tuesday.

* The classes with the greatest percentage of students that participate will
be recognized on the morning announcements.  Students that complete most of
the problems will be recognized at the Recognition Assembly in June, 2007.


* This is a new program that we plan to continue throughout the year.  Any
comments, or suggestions will be greatly appreciated and should be directed
to Emily Hess at  politicalresources at hotmail.com  or to Shara Lewis at
shara.lewis at comcast.net    Also, please let us know if you are interested in
helping with the challenge. 

 

 

 

Jo Doherty

Cabot PTO Co-President

11 Leonard Avenue,

West Newton, MA 02465

617-332-1530

jcdoherty11 at comcast.net

 

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