Amendment 4

The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon probable cause, supported by oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized.
Explanation: This is saying that the government cannot search your property, or take it, without a reason to believe that you’ve done or have something unlawful.
Example: When the police go search a home for something, they have reasons to believe, or evidence, that there are bad things there such as drugs.

Amendment 5

No person shall be held to answer for a capital, or otherwise infamous crime, unless on a presentment or indictment of a Grand Jury, except in cases arising in the land or naval forces, or in the militia, when in actual service in time of war or public danger; nor shall any person be subject for the same offense to be twice put in jeopardy of life or limb; nor shall be compelled in any criminal case to be a witness against himself, nor be deprived of life, liberty, or property, without due process of law; nor shall private property be taken for public use without just compensation.
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Explanation: If the government takes something from you, or does something wrong to you, you must recieve just repayment.
Example: In 1988, Congress passed and President Ronald Reagan signed legislation which apologized for the internment on behalf of the U.S. government. The legislation stated that government actions were based on "race prejudice, war hysteria, and a failure of political leadership". Over $1.6 billion in reparations were later disbursed by the U.S. government to Japanese Americans who had either suffered internment or were heirs of those who had suffered internment. (http://en.wikipedia.org/wiki/Japanese_American_internment)

Amendment 6

In all criminal prosecutions, the accused shall enjoy the right to a speedy and public trial, by an impartial jury of the State and district wherein the crime shall have been committed, which district shall have been previously ascertained by law, and to be informed of the nature and cause of the accusation; to be confronted with the witnesses against him; to have compulsory process for obtaining witnesses in his favor, and to have the assistance of counsel for his defense.
Explanation: If you are accused of a crime, you will be tried in court soon and it can be public if you wish it to be.
Example: A relative of mine was accused of a crime and he was tried in court within a month.