The Many Incarnations of Slope

Much of our class discussion revolves around slope. We brainstormed some of the ways we think about slope and came up with the following definitions:

1. coefficient of the variable x in a linear equation
2. change in the y variables compared to the change in the x variables
3. how steep a line is
4. the vertical change of a line compared to the horizontal change
5. the 'rise' of a line compared to the 'run' of a line

Furthermore we talked about how to identify whether a line has a positive or negative slope and thought of the following strategies:
1. When reading a graph from left to right, if the line moves in an upward direction, the slope is positive. If the line moves in a downward direction, the slope is negative.
2. As the x values in a graph get larger, what happens to the y-values? If they also get larger, the slope is positive. If the y-values get smaller, the slope is negative.


Again, please be reminded that the 1st Term ends this Friday, the 26th of October. The last test and quiz of the term will take place this week.

Home Nugget #31
Assigned on Monday October 22, 2007
Due on Tuesday October 23, 2007

From Practice Sheet titled Additional Practice for Investigation 5
Do all problems except for number 4.
All work should be completed on a separate sheet of paper.
Show all work for #1, 2, 3 and 4. Explanations are expected for most of 4 and 5.

FCAs
2 points: all problems are completed
2 points: work and explanations are provided