Lying is also common at this age. Dr. Christophersen's point can be extended - make sure that the option of admitting what really happened is not as bad as continuing the lie. Children at this age might not understand why they are misbehaving but they have an understanding that they are doing something which is not right. Children start to model parent's behaviors at this point, too. The responsibility of being a good role model is realized starting at this stage.
Household chores are an excellent way of providing some structure to their daily lives.
It can also be used as a part of grounding for older children. An example provided by Dr. Christophersen is developing a series of notecards with tasks and choosing one task for completion when a teenager is grounded. Completion of the task ends the grounding. An article on discipline is incomplete without mentioning spanking. This is probably the most emotionally charged subject in this discussion.