Today in class we defined the relationships we have been looking at this past week, from calculating the driving time to LA (360/Speed = Time), the relationship between the length of a bridge and its breaking weight, to determining the relationship between the area of a rectangle and its length and width (Ex. For a 24 square inch rectangle, 24/length=width). These relationships, which are graphically represented in a curve in which the difference is greatest when the x-value is low and the y value is high and then the difference dramatically decreases as the x increases. These relationships are distinct from our previously studied linear relationships and are called inverse relationships, in which as one value increases the other decreases (or experiences an inverse).
The relationship between two variables, x and y, is an inverse variation if:
y= k/x
or
xy = k
where k is a constant not 0
Students had a choice for homework today, 1 that is similar to what we have been doing in class, or taking a challenging option in which they are extending the applications of the inverse relationships we have been examining. The link for the homework is below (The first 2 pages is the standard homework and pages 3-4 are the challenge option). The homework is due Monday.
http://dl.dropbox.com/u/10516607/8th%20Handouts/HW_Inverse_Relationships.docx
No comments:
Post a Comment