Here are three amendments (or parts of amendments) and their origins:
First Amendment, Establishment Clause. This is the clause that says that “Congress shall make no law respecting an establishment of religion.” This clause came about because the colonies had had established religion. An established religion was a religion supported by the government. It was, in essence, the official religion of the colony. Many Americans did not like the idea of an established religion. They did not like the idea of being forced to pay taxes to support a religion that was not their own. This is where the Establishment Clause came from.
Third Amendment. This amendment forbids the government to quarter soldiers in private homes without consent during times of peace. This amendment came about because of the fact that the British quartered soldiers in private homes. This was illegal in England, but that was ignored in the colonies. This amendment was created to avoid this from happening in the US.
Fourth Amendment. This amendment prohibits searches or seizures without warrants. This amendment was created because of British policies like the use of writs of assistance. These writs were, in essence, warrants that never expired and were not limited to a certain place. Americans did not like the idea of unlimited government searches, so they created the Fourth Amendment.