6.2+Escaping+the+Forest+0910

A.R Big Idea: The dimensions of a right triangle can be determined with limited information Essential Questions: What is "irrational" about irrational numbers? Notes From Class:**
 * November 22, 2009
 * Problem 6.2 and Follow Up

The laser forest extends beyond the screen but Caitlin is not sure how far. She wants to be sure Oskar won't hit a tree anywhere along his escape path. Study the drawing above. On Labsheet 6.2, draw a straight-line path that Oskar could follow to get out of the forest. Give the slope of the path you find. Explain why you think your path will work.

Problem Follow Up:

1a. On dot paper, draw a line with a slope of the square root of 5. Explain the steps you use to draw your line.

1b. On the same dot paper, draw a line with a slope that is a rational number slightly less than the square root of 5. Draw another line with a slope that is a rational number slightly greater than the square root of 5. Give the slopes of the lines you draw.

2. In addition to a path with slope square root of 2, describesome other paths that Oskar could follow to get out of the forest. What is true about the slope of any path he could follow?**