. Create all of the possible arrays for modeling a rectangular quilt with the 24 paper squares. Write an equation to accompany each array. You can use the attached pre-made quilt squares by cutting and pasting them, or you can draw the arrays with your own designs separate sheet of paper. on a
To create the arrays for modeling a rectangular quilt with 24 paper squares, we need to consider all the possible combinations of arranging the squares.
1. Array 1: 4 rows and 6 columns (4x6 array):
[ ][ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ][ ]
Equation: Rows (R) x Columns (C) = 4 x 6 = 24
2. Array 2: 6 rows and 4 columns (6x4 array):
[ ][ ][ ][ ]
[ ][ ][ ][ ]
[ ][ ][ ][ ]
[ ][ ][ ][ ]
[ ][ ][ ][ ]
[ ][ ][ ][ ]
Equation: R x C = 6 x 4 = 24
3. Array 3: 2 rows and 12 columns (2x12 array):
[ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ]
[ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ]
Equation: R x C = 2 x 12 = 24
4. Array 4: 12 rows and 2 columns (12x2 array):
[ ][ ]
[ ][ ]
[ ][ ]
[ ][ ]
[ ][ ]
[ ][ ]
[ ][ ]
[ ][ ]
[ ][ ]
[ ][ ]
[ ][ ]
[ ][ ]
Equation: R x C = 12 x 2 = 24
5. Array 5: 1 row and 24 columns (1x24 array):
[ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ][ ]
Equation: R x C = 1 x 24 = 24
6. Array 6: 24 rows and 1 column (24x1 array):
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
[ ]
Equation: R x C = 24 x 1 = 24
Note: These arrays are just a few examples out of many possible combinations. The dimensions of the array will always have to satisfy the equation R x C = 24.