This is a post that I'll update as I find more material. The idea is to take one of these topics, give a scientific introduction and then present rational equations as the way of solving a scientific problem.
Circuits:
http://kalamitykat.com/2010/02/21/solving-rational-equations-project/
http://samjshah.files.wordpress.com/2010/02/rationalcircuits1.jpg
http://samjshah.files.wordpress.com/2010/02/rationalcircuits2.jpg
Lensmaker's Equation:
http://en.wikipedia.org/wiki/Lens_%28optics%29#Lensmaker.27s_equation
Additive velocities and Special Relativity:
http://en.wikipedia.org/wiki/Velocity-addition_formula#Special_theory_of_relativity
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