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                                  Solve Inequalities, Graph Solutions & Write Solutions in Interval Notation
                                      Graphing Linear Equations - Introduction
                                      Graphing Linear Equations - Slope


Solve Inequalities, Graph Solutions & Write Solutions in Interval Notation
I use the first minute and a half to go over how to read inequality signs and also how to read inequalities when variables are involved. I then cover four inequalities, the last two of which involve reversing the direction of the inequality sign. As usual, it may be helpful to print the Sheets Used in Video prior to viewing so you can write notes while working along with the video. The practice worksheets-Solve Inequalities, Graph Soln. & Write Soln. in Interval Notation-are two pages, each with two columns of three problems. Each column provides a similar variety, so I advise completing and checking/correcting one column before proceeding with the next column. If possible, build in breaks of increasing duration to help develop your long-term memory with the topics covered.
 
Sheets Used in Video
Sheets Used in Video (Answer Key)



Solve Inequalities, Graph Soln. & Write Soln. in Interval Notation
Solve Ineq., Graph Soln. & Write Soln. in Interval Notation (Answer Key)



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Graphing Linear Equations - Introduction
In the first six minutes I introduce the rectangular coordinate system (a.k.a. Cartesian coordinate system), the x and y axes, the four quadrants, the origin, and then I show how to graph several ordered pairs. In the last nineteen minutes I go over finding solutions for graphing four equations based on using "x y tables." I discuss finding and/or checking solutions graphically or algebraically. I emphasize how to find and use the "x intercept," and the "y intercept." As usual, it may be helpful to print the Sheets Used in Video prior to viewing so you can write notes while working along with the video. The practice worksheets, Graphing Linear Equations - Introduction, consist of five pages with a total of 16 questions. Unlike most of my worksheets, these are not arranged into columns of similar problems. (The nature of this topic does not lend itself to such an arrangement.) The last page is intended to see if you have grasped the underlying concepts of the video and the previouus four pages.
Sheets Used in Video
Sheets Used in Video (Answer Key)



Graphing Linear Equations - Introduction
Graphing Linear Equations - Introduction (Answer Key)



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Graphing Linear Equations - Slope
Building on concepts from the Introduction video above (x, y table and intercepts), I graph a line and find its slope based on the graph. Then I graph the line just using the "slope-intercept" form. I go over three more equations for you to practice this. Comparing slope-intercept to "standard" form, I change an equation to slope-intercept and graph it. Next is a comparison of slopes: positive, negative, zero, and undefined (or no slope). I then present the slope formula for when you are given two points, calculating the slope and graphing the line to verify the slope. Then given a point and a slope, I graph a line. Lastly, I show how to know if lines are parallel or perpendicular based on slopes. You should print the Sheets Used in Video to take notes and to practice graphing as you watch the video; there are several opportunities to pause the video and practice graphing. (This will do a lot to help you understand and retain what I am presenting.)

The Graphing Linear Equations - Slope worksheet is 7 pages with 29 problems. The first page has you reviewing the types of slopes by matching them with graphs and equations. The next few pages have you graphing equations, and the last page has you using the slope formula and identifying if lines are parallel, perpendicular, or neither--based on their slopes.

You might benefit from doing the first page and waiting some time before doing the rest of the pages; allowing time between practice sessions helps to develop your long-term memory.
 
Sheets Used in Video
Sheets Used in Video (Answer Key)



Graphing Linear Equations - Slope
Graphing Linear Equations - Slope (Answer Key)



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  My next video for this page will be on various ways to find equations given some limited information--like two points, a point and a slope, etc.



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