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Pre-algebra

Pre-algebra is a common name for a course in middle school mathematics. In the United States, pre-algebra is usually taught in the 7th grade. The objective of pre-algebra is to prepare the student for the study of algebra.

Pre-algebra includes several broad subjects:

  • Review of natural number arithmetic
  • New types of numbers such as integers, fractions, decimals and negative numbers
  • Factorization of natural numbers
  • Properties of operations such as associativity and distributivity
  • Simple (integer) roots and powers
  • Rules of evaluation of expressions, such as operator precedence and use of parentheses
  • Basics of equations, including rules for invariant manipulation of equations
  • Understanding of variable manipulation
  • Manipulation and arithmetic with the standard 4-quadrant Cartesian coordinate plane

Pre-algebra may include subjects from geometry, especially subjects that further understanding of algebra in applications to area and volume.