A standard algorithm is a specific method of computation that is conventionally taught for solving particular mathematical problems. It is a set of step-by-step processes used to perform addition, subtraction, multiplication, or division of multi-digit numbers. The term "standard" refers to the fact that it is the general, widely-used approach for solving these problems.
Standard algorithms vary somewhat by nation and time, but they generally include exchanging, regrouping, long division, and long multiplication using a standard notation, as well as standard formulas for average, area, and volume. These methods are designed to help students understand the meaning of the quantities involved, especially as they relate to place values.
The Common Core State Standards specify when each operations standard algorithm should be taught. For example, in 3rd grade, students learn the standard algorithm for addition and subtraction within 1,000, while in 4th grade, they learn it for addition and subtraction with multi-digit numbers.
