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.

Monday, April 11, 2005

Unit 8 - Lesson 6

Today we learned how to graph linear inequalities. First we graph the inequality as if it were a line. Next we figure out which side of the line should be shaded. We do that by picking a point on one side of the line. If that point makes the inequality true, then we know we shade that side of the line.

If the inequality is "less than or equal to" or "greater than or equal to", then the line is solid. If then the inequality is "less than" or "greater than", then the line is dotted.

For a blog, put this in your own words in a comment.

Unit 8 - Lesson 5

In this lesson we learned to solve two equations with two unknowns by graphing both equations and finding where the two lines intersected. When then checked our answer by using substitution to make sure we got the same answer.

We also learned that if the slope of the two lines is the same, then there is no solution for those two equations.

Tuesday, April 05, 2005

Unit 8 - Lesson 4

Today's lesson covered how to write an equation for a line using the slope-intercept form for an equation:

y=mx+b where

m=(y2-y1)/(x2-x1) and

b= y-intercept ( or where the line crosses the y axis).

For your blog, tell me something that you have done in a math class on graphing lines that was more challenging than this or tell me why you think this is so easy.

Monday, April 04, 2005

Unit 8 - Lesson 3

Today's lesson taught how to write equations for vertical and horizontal lines.

For vertical lines, the slope is underfined and the equation is of the form

x=c, where c is where the line crosses the x-axis.

For horizontal lines, the slope is zero and the equation is of the form:

y=b, where b is where the line crosses the y-axis.

Please comment on something you learned today or something you want to learn now that you have mastered this lesson.