One particularly rough day, I reminded my daughter that she never refused to do assignments when she was in public school. She reminded me that I never would have let her other teachers yell at her the way I just had. It helps if you have some little signal that turns you from Mom to Teacher Mom, such as ringing a bell at the start and end of each day. When the bell rings, the rules change. Socialization is one issue which has to be addressed.
Several siblings help, since family socialization is a good training ground.
It helps to live in a neighborhood with other children, who should be frequent visitors to your home. Children also benefit from attending church, joining clubs or taking lessons with other children. If you feel uncomfortable with any aspect of your child's curriculum, consider hiring a tutor or putting the child into a community class. You should discuss the decision thoroughly with even the youngest child. Help them to understand the benefits and the drawbacks.