standard_description: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., p^(2)). For example, by truncating the decimal expansion of Ö2, show that Ö2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
problem_activity: The square below has an area of
$${20}$$
square units.
[IMG]
Taylor writes the equation
$$s^2={20}$$
to find the measure of the side length of the square. She reasons that the solution to the equation is
$$\sqrt{20}$$
and concludes that the side length of the square is
$${10}$$
units.
Do you agree with Taylor? Explain why or why not. If you disagree, include the correct side length of the square.


aligns: no