We start this lesson on Partitioning Segments by looking at a Frank and Ernest cartoon involving Zeno's Paradox.  We'll use that as a primer for the formula this lesson hopes to reveal.  Duration: 10:58

In the previous video, we generated a formula for the quarter point of a segment, and you were supposed to similarly find the three-quarter point.  What did you get?  Use the first part of this video to check your work.  In the second part of the video, we introduce the investigation we will use to find a general partitioning formula.  Duration: 8:58

In this video, I demonstrate how to use the quarter point and the midpoint to find the coordinates of the point on a segment that is one-eighth the distance from one endpoint to the other.  Then we take a look at the formulae for all the eighths in the hope they provide enough evidence to suggest a general formula.  Duration: 7:02

Were you successful at finding a formula for the point on a segment that is 3/5 of the distance from one endpoint to the other?  Check your answer here, and then see if you can generalize your result in terms of a and b. Duration: 2:14

After reviewing the answer to Exercise 4, we formally state the Partitioning Formula.  Duration: 5:29

Finally, here is the last exercise which puts into practice our brand new partitioning formula to divide a segment into fifths.  Duration: 14:08