Estimating Squares: Hot and Cold Activity

Approximate the square root of a number in this activity by using a square as a visual model.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Mauricio wants to create a square with an approximate area of [math]\textsf{60 units^2}[/math]. Is 10 a reasonable side length for it? Why or why not?
Mauricio says that [math]\sqrt{70}[/math] has to be between [math]8[/math] and [math]9[/math]. How can he be so sure?
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Information: Estimating Squares: Hot and Cold Activity