The document describes a math problem solving activity between students at Jean Monnet High School in Bucharest, Romania and another school. The students were tasked with placing numbers 1-6 in circles and squares on a grid based on different rules for the sum of each edge. Through thinking and trying, the students succeeded in finding several solutions. They observed that for an edge sum of 9, odds went in circles and evens in squares, and for other edge sums the placement was reversed or the first three versus last three numbers were placed in circles versus squares. The students found the activity to be interesting and fun.

1. - CAAMP -
CHALLENGING AMUSING APPLICATIVE MATH PROBLEMS
e-Twinning Project
Placing the numbers
Jean Monnet High School
Bucharest
Romania
Teacher: Mihaela Gîț

2. The task:

3. The beginning is more difficult...

4. ...but thinking and trying we succeeded!

5. The first solution, the first smile...

6. ... We found several solutions!
Conclusions: It was interesting and fun!

7. Observations:
 If the sum of each edge is equal to 9, the first three numbers 1,2,3 are placed in
circles and the others 4,5,6 are in squares.
 If the sum of each edge is equal to 10, the first odd numbers 1,3,5 are placed in
circles and the even numbers 2,4,6 are placed in squares.
 If the sum of each edge is equal to 11, the first odd numbers 1,3,5 are placed in
squares and the even numbers 2,4,6 are placed in circles.
 If the sum of each edge is equal to 12, the first three numbers 1,2,3 are placed in
squares and the others 4,5,6 are in circles.