Whether you have self esteem bias over your knowledge of common core math or your students do, it can be dangerous to your job. This is why you should learn Peano Axioms and basic proofs of the associative law of addition of whole numbers.
A job is a terrible thing to waste, especially when it is yours. Don’t waste it, use it to teach your students common core by learning Peano Axioms yourself first.
Hermann Grassmann in 1861 showed that the meaning behind school math is proofs by induction and definition by recursion. This is what is behind common core math. So learn it. Learn the proof of the associative law of addition of whole numbers. Both you and your students can learn that. Learn it by heart. It is doable.