One correction: while its equally constructivist i.e. the emphasis is on student direct problem solving as the primary means to learning math, CMP does not spiral in the same way Every Day Math does.
You might want to look at:
http://connectedmath.msu.edu/the-math/math-by-unit/ for a description of what is covered in 6th grade.
CMP has reputation for not really building on prior units as it moves forward so your risk is more about leaving holes in your daughters knowledge rather than having a bad transition.