the 4X4 square represents 1/4 of a whole shape. create three possible whole shapes. justify how u know that each new shape is one whole.
A 8 x 8 square made of four 4x4 squares would be one shape. So would an L-shaped figure with legs of two 4x4 and three 4x4 squares (sharing one square), or a T-shaped figure (3 squares connected to 2 at them middle, sharing one square). Try to draw them from my description. They are all whole shapes.
a larger square- put 4 4x4s together
rectangle - stack 2 ontop of each other
im not sure about another but i have 2
A narrow rectangle with FOUR 4x4 squares on top of one another is another example
To create three possible whole shapes from a 4x4 square, we need to consider the concept of "one whole" or the unit of measurement for the shape.
1. A 4x4 square itself can be considered as a whole shape because it represents the complete unit of measurement in this case. Each side of the square measures 4 units, so the area of the square is 4 x 4 = 16 square units, which is the total amount to be considered a whole shape.
2. To create a second possible whole shape, we could combine four 4x4 squares. By arranging them in a 2x2 grid, we form a larger square that measures 8 units on each side. The area of this larger square is 8 x 8 = 64 square units, which is four times the size of the original 4x4 square. Therefore, this larger square can be considered as a whole shape.
3. For the third possible whole shape, we can combine sixteen 4x4 squares. By arranging them in a 4x4 grid, we form an even larger square that measures 16 units on each side. The area of this square is 16 x 16 = 256 square units, which is sixteen times the size of the original 4x4 square. Hence, this largest square can be considered as a whole shape.
In summary, these three possible whole shapes have areas of 16, 64, and 256 square units, respectively. Each of these shapes represents a complete unit of measurement because they are composed of specific numbers of 4x4 squares, which themselves are quarter sections of the whole.