Puzzle: Select a Square

Study your solutions and answer the following questions.

1. How many solutions are there for a 2 X 2 grid? How do you know you have found them all?

 

 

 

2. How many solutions are there for a 3 X 3 grid? How do you know you have found them all?

 

 

 

3. Describe any patterns you see in the way the solutions look. How can these patterns help you determine if you have found all of the solutions?

 

 

 

4. Describe three different ways you could organize your solutions based on the patterns you discovered. Use the grids provided to show one of these ways.

 

 

5. How many solutions do you think there would be for a 4 X 4 grid? Why?

 

 

 

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