The seven principles
Popular sovereignty is a government system that gives the people power and limits the government. In the 1850's, Senators Lewis Cass and Stephen Douglas used popular sovereignty to settle the question of slavery by allowing the people of each state to vote on whether to allow it. articles one, five, and seven in the constitution are tied to this subject.
Republicanism is the people using their powers through electing representatives to have what they want done, done. Every four years Americans vote for a president. Articles one, two, and five represent republicanism.
Checks and balances
Checks and balances is our governments system that limits the powers of the three branches and let's each of them keep a check on each other. The legislative branch can impeach a president. Articles one, two, and three support and guide this system.
The government is limited to only certain things given to them by the people, and the people get all of the power. The governments people have to follow the same laws as everyone else.
Individual rights are basic freedoms and liberties given to us by our creator and belong to us for our existence. Us citizens can practice any religion they want. The 14th amendment backs up this.
Federalism is the right of the state to have any power not directly given to government. States can decide on marriage laws.