Mathematical+Reflections+p.+72


 * Tuesday, November 18, 2008**
 * M.I.**

Essential Question: What is “irrational” about irrational numbers?

 * Mathematical Reflection #6 (Pg. 72) **

Ans.: I drew two approximate slopes that surround the path Oscar would take to get out of the forest.
 * 1.) **** How did you use slopes to help Oscar escape from the forest? **

Ans.: If two lines a parallel, they should have the slope.
 * 2.) **** How can you use slopes to determine whether two lines are parallel? **

Ans.: I can use slope to determine if two lines are perpendicular if the slope of one is equal to the negative reciprocal of the other.
 * 3.) **** How can you use slopes to determine whether two lines are perpendicular? **

Ans.: The method “rise over run” will help me find the distance between two dots on a grid without measuring. Also, y1-y2 ¸ x1-x2 (the coordinates of the two points given) would be a way to solve this problem.
 * 4.) **** Explain how you would find the distance between two dots on a grid without measuring. **

Ans.: Same as question #4, you could use either one of those methods. For the ‘rise over run’ method, you would have to count the number of dots it goes through the x and y-axis.
 * 5.) **** Explain how you would find the slope of a line passing through two dots on a grid. **

In Chapters 6.1 and 6.2, I revisited slopes. During investigation 6.1, I learned where an irrational slope lies. An irrational number is numbers that cannot be represented as fractions whose numerators and denominators are integers. During investigation 6.2, I learned how to find and draw a line with a irrational slope. This is where square-root came in handy!
 * MY SUMMARY: **