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After the children solved the Locker Problem last week and determined that the ten open lockers were all square number 1,4,9,16,25,36,49,64,81,and 100, I decided to further explore square numbers. I was disappointed that there were no games on the internet that promoted the learning of square numbers so I created my own.

One hundred students are assigned lockers 1 through 100. The student assigned to locker number 1 opens all 100 lockers. The student assigned to locker number 2 then closes all lockers whose numbers are multiples of 2. The student assigned to locker number 3 changes the status of all lockers whose numbers are multiples of 3 (e.g.

Dear Mathlete Parents:

We are coming close to the end of our 14th season of Mathlete Nation’s discovery of mathematics and its mysteries. While playing with a compass used to draw circles, I discovered that with a single line segment, if I set the compass at that segment’s distance, and draw arcs from each endpoint of the segment, the intersection creates a third point.

After exploring dividing a circle into equal sectors and shading in all equivalent fractions, we are now playing the ultimate fraction game: Fraction Capture.