How do you insulate between floors inside a split-level house?


I am currently installing a new ceiling in my family room and would like to know if I can insulate the ceiling to prevent heat transfer to the upper floor. I already know I could insulate for sound reduction, but I need to prevent heat transfer. The upstairs stays warm while the downstairs stays cool with the heat primarily rising toward the ceiling. At the moment I don't want to install ceiling fans, but I may eventually. What kind of insulation should I use? Should it be faced or unfaced? And what R-value should I use?

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