This web site is meant to summarize the material covered by the middle level students taking Integrated 1 at the Lakeville Area Learning Center. If the experiment works, it will be expanded to the other math courses be taught at our ALC.

Thursday, March 31, 2005

Unit 8 - Lesson 2

This lesson introduced the general form for the equation of a line:

a*x+b*y=c

This is just a different way of stating the equation for a line. The other form that we had learned was the Slope-Intercept form of:

y=mx+b where

m=slope=rise/run=(y2-y1)/(x2-x1)

The lesson then gave us practice on how to use both of the forms of the equation to graph lines and determine the x and y intercepts of the line.

Please comment on something new you learned, some old that you already knew, or something about which you are curious now that you have had this lesson.

Tuesday, March 29, 2005

Unit 8 - Lesson 1

Today’s lesson was on linear growth and decay. The key concept is that there are many real life phenomenon that can be modeled with either linear growth or decay.

The mathematical model will fit into the general equation y=mx+b, where
m = the slope of the line, and
b = the y-intercept.

If the slope is positive, then there is linear growth. If the slope is negative, then there is linear decay.

The main difference between linear growth and decay that we are studying in Unit 8 and direct relationship that we studied in Unit 7 is that all direct relationships must pass through the origin. Linear growth and decay do not have to start at the origin.
Please add a comment on something you learned in this lesson, something you want to learn now that you have had this lesson, or something for which you want more explanation.