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Re: Module 1's are out!
Posted:
Jul 12, 2013 2:18 PM


We can't figure out which standards Lesson 1 aligns to. FIF.7b is the only standard that explicitly mentions piecewise functions, but it's in a different place in the sequence and isn't mentioned in the module. Are they saying a piecewise linear function derives from ACED.1's "Include equations arising from linear and quadratic functions"? Even along with ACED.2's "Create equations in two or more variables to represent relationships between quantities", that's an interpretive stretch. Will PARCC interpret the same way?
Not that there's anything inherently wrong with piecewise linear functions; in fact, it's a great topic with great possibilities.
In fact, our biggest objection is that piecewise linear functions is presented as a one day topic, not to be studied again. Do we read the module right?
If so, this lesson and its one basic scenario (stairs/ladders) perpetuates the "mile wide, inch deep" problem in curricula. There's a lot more interesting stuff that can be done with piecewise linear functions. Here's a sampling of problems that takes piecewise linear functions and goes progressively deeper:
http://fivetriangles.blogspot.com/2013/03/52waterapparatus.html
http://fivetriangles.blogspot.com/2013/04/61trianglearealinearequationsstir.html
http://fivetriangles.blogspot.com/2013/04/58shipspassinginnight.html
Not that Common Core allows a week to go deep on a single topic, but that's one of our ongoing laments.



