Second Grade Standards

The teacher in me is very impressed with my daughter. There have been quite a few things lately that have come up in conversations with Aminah that make me realize she is understanding some of the second grade standards better than my students. I'm not sure if this makes me a great mom, or a terrible teacher but here goes.
Plurals - We are in the car talking about Dora and Boots (Dora's monkey) and Aminah informs me that we can't call him Boots because, "he is only one, so we have to call him Boot." Pretty impressive!
Synonmyms - Lulu (the dog) is outside and for some reason she is licking the ground. Aminah sees this and says, "Lulu stop licking the ground, that is yucky, it's 'gusting and gross. So stop licking the ground Lulu."
Nutrition - "Mommy when you eat and drink the food goes in your tummy and comes out in the potty as poop."
Synonyms - We are driving in the car and I'm talking to my friend on the cell phone. Aminah is in the backseat and I'm talking about her coat for some reason and Aminah says, "It isn't a coat, it's a jacket!" My friend tells me to tell her they are synonyms. So I tell her "They are synonyms. They mean the same thing, jacket and coat mean the same thing." She says, "uuuuhhh, you are giving me a headache."
So maybe I'm pushing too much.