Legalism, Daoism, Confucianism
Confucianism was based on many teachings of a man named Confucius. Born on a farming family, he lived when rivals kings fought each other for each other power. Confucius criticized the misrule of these kings. He urged the people to follow beliefs of their ancestors. He thought if people did that they would bring peace and harmony to China.
A thinker named Hanfeizi introduced the ideas of legalism. Unlike Confucius or Laozi, Hanfeizi thought that people were evil. Strict laws and harsh punishment were necessary to force the people to do their duties. Legalism did not require rulers to consider the needs or wishes of their people. It's ideas led to cruel punishments even for the smallest crimes.
Daoism begin with the ideas of Laozi. Laozi is believed that he lived in the same time when Confucius lived. Like Confucianism, Daoism it teaches people how to live a good life. Daoists believed that people should free themselves from worldly desires and live simply. They should turn to nature and Dao the spiritual force that guides all things. In this way they could enjoy their lives.