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: Task
The goal of this task is to estimate the measure of angles in triangles with integer side lengths.
What are the angle measures in a triangle whose three sides each have length of one unit?  Explain.
What are the approximate measures of the three angles in a triangle whose side lengths are 3, 4, and 5 units respectively? Explain.
What are the approximate angle measures of the three angles in a triangle whose side lengths are 2, 3, and 4 units respectively?


aligns: no