I don't agree with the belief that "common sense" is innate and that humanity is born with it. It has to be learned at a young age and needs constant refinement from multiple sources - parents, teachers, mentors, as well as proper reading and learning.
Pirkei Avot, as mentioned above is a good starting source, and I recommend Rabbeinu Yonah's commentary, in particular. Main reason- if you read a bit about his biography, he was one of the leaders that encouraged the massive burning of the works of Ramba"m. Later, he realized his horrible mistake, and made extremely sincere repentance. Among the penitent actions include his frequent mentioning of Ramba"m in his commentary as well as writing Sha'arei Teshuva - another terrific work of "common sense", as teshuva supports humility - an essential behavioral quality that is, I feel, NOT innate but needs to become "common sense". To me, when a person understands his own mistake, and not only repents, but corrects his own behavior and makes a huge difference in the world to teach this positive behavior to others - THAT impresses me as someone who "got it" and is a good example / mentor for teaching morality and wisdom.
Together with Pirkei Avot, I recommend delving in Mishlei - Proverbs. If anyone is able to deliver wisdom and "common sense", I don't think any human in the world can do it better than the Wise King Solomon.