student success and encouragement

This semester I have been tutoring some students at our elem. school. As I reflect back on each day's progress, I begin to wonder how much encouragement children receive at home. Considering the time and effort the teachers, aides, and volunteers invest in students on a daily basis, and the praise and encouragement we (should) give them, I wonder if this extra effort is rewarded at home...Which led me to an idea:
As I keep anecdotal records from each tutoring session, make a copy for the teacher (save one for me), I should have notes of encouragement ready to send home to the students whom I tutor...Is it safe to assume that students who receive extra help at school are working extra hard? Are they receiving any more praise at home for this work? It is my responsibility to give them that extra boost so that they will be inspired to keep working, and proud of their progress.
I would love some dialogue/feedback on this post! :)