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Grade Vs Difficulty:

This problem is perfect for students who need practice in basic arithmetic and are up for a challenge. The students repeat subtraction over and over again and the more they engage in the game the harder subtraction problems they will assign to themselves. In addition, as a Ducci Four Number Game this activity has a solid connection to advanced mathematical theory.
In addition to the description of the gamethis lesson plan includes activity notes of required supplies, discussion on the mathematics included in the activity, guiding questions, and a list of additional resources to support the lesson.
Start with a square. On each corner of the square write a number. Then on the midpoint of each edge write the positive difference between two corner numbers. Continue the game with your midpoint squares until you reach a square of all zeros.
This activity can be done with just blank paper and pencils. You can also use a whiteboard setup described below and then have the students record results on blank paper.
Outreach pro tip: 1 box of sheet protectors is a great lowcost way to make a classroom set of individual whiteboards that can be used with different inserts and new problems
Outreach pro tip: Use blue tape or similar device on your whiteboard markers so you don’t steal any markers from the school or room you are visiting.
The level of student will determine the level of mathematics to be introduced. Possible topics include: