1. Which figure best models 6^2?
A. 6 x 6 grid - Personally, I think.
B. 9 x 4 grid
C. 5 x 5 grid
D. 6 x 2 grid
Right.
To find the figure that best models 6^2, we need to understand what 6^2 means. In mathematical terms, 6^2 represents the square of 6, which means multiplying 6 by itself.
To visualize this, we can start by understanding that a square grid usually represents an area. In this case, we are looking for a grid that represents the area when the side length is 6 units.
Let's analyze the options:
A. 6 x 6 grid: This option represents a square grid where both the width and height are 6 units. Since 6^2 means multiplying 6 by itself, this seems like a reasonable option for modeling 6^2.
B. 9 x 4 grid: This option represents a rectangle grid where the width is 9 units and the height is 4 units. This does not accurately represent 6^2 since the side lengths are different.
C. 5 x 5 grid: This option represents a square grid where both the width and height are 5 units. Again, this does not accurately represent 6^2.
D. 6 x 2 grid: This option represents a rectangle grid where the width is 6 units and the height is 2 units. Similar to option B, this does not accurately represent 6^2.
Based on our analysis, option A (6 x 6 grid) seems to be the best choice for modeling 6^2, as it accurately represents a square grid with side length 6 units.