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A primary school, or elementary school, is a school in which children receive primary or elementary education between the ages of about five to eleven, coming before secondary school and after preschool. It is the first stage of compulsory education in most parts of the world, and is normally available without charge, but may be a fee-paying independent school.
In the United States, "primary school" may refer to a school with grades Kindergarten through second grade (K-2). In these municipalities, the "elementary school" includes grade three through five.
The term primary school is derived from the French école primaire, which was first used in 1802.
The term grade school is sometimes used. The terms first school or infant school may also used though these, strictly speaking, refer to different educational programs. Note that in the USA grad school is often used as a term for postgraduate education, not referring to the grade school level.
In some places, primary schooling has historically further been divided between lower primary schools (LP schools), which were the elementary schools, and higher primary schools (HP schools), which were established to provide a more practical instruction to poorer classes than what was provided in the secondary schools.