A Math Forum Web Unit
Squaring Magic Squares
Suzanne's Magic Squares || Multiplying Magic Squares: Contents || Exploring the Math
Objectives: [NCTM Standards: Number and Operations, Communication, and Connections]
Large empty 3x3 grid
The nine cells in numerical order
Ordering the cells to make a magic square
The completed 9-cell magic square
Blank paper Blank overhead transparency and pens Rulers Calculators
To square a number means to multiply it by itself.
Considering Square A:Remember the method we followed to multiply Square A by Square B? (To review, return to Classroom Activities.) If this method can be used to 'multiply' two magic squares, let's use it to square a magic square.
To square Square A, we'll follow the same steps, but instead of using Squares A and B, we'll use Square A twice.
Square A Square A
Check for Understanding:
Generating the second square:Following the multiplication method, we will fill the nine cells in the empty 3x3 grid. We will begin by adding the same number to each entry in Square A to make a new magic square.
Square A is made up of nine entries. When we add 9 to each of them, we get
We will continue this process by adding 9 to each entry to make each successive cell.
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