A standard algorithm is a specific method of computation that is conventionally taught for solving particular mathematical problems, such as addition, subtraction, multiplication, or division of multi-digit numbers. It is a set of steps taken to solve a math problem, and it is called a "standard algorithm" because it is the general, widely-used step-by-step process used to add, subtract, multiply, or divide. The standard algorithms of each operation are likely what you know as the "old way" or the way you learned in school. These algorithms are the strategies that students will carry with them throughout their school careers and into adulthood.
The specific methods of computation that are included in standard algorithms vary somewhat by nation and time, but generally include exchanging, regrouping, long division, and long multiplication using a standard notation, and standard formulas for average, area, and volume. Students alternative algorithms are often just as correct, efficient, and generalizable as the standard algorithms, and maintain emphasis on the meaning of the quantities involved, especially as relates to place values.
Standard algorithms are taught in elementary school, and according to Common Core State Standards, the standard algorithm of each operation is taught in the following grade levels:
- 3rd grade: Addition & subtraction within 1,000
- 4th grade: Addition & subtraction within 1,000,000
- 5th grade: Multiplication
- 6th grade: Division
In summary, a standard algorithm is a set of steps taken to solve a math problem, and it is the general, widely-used step-by-step process used to add, subtract, multiply, or divide. It is taught in elementary school and is the strategy that students will carry with them throughout their school careers and into adulthood.
