Basic Definition of Pre-Algebra

Pre-algebra serves as the transitional math course between basic arithmetic and full algebra. It is typically taught as part of the middle school curriculum in the United States. 

Pre-algebra first expands knowledge of how numbers are expressed—through tools like exponents, roots, scientific notation—and how they relate to one another via ratios, rates, proportions, and percents. It then introduces core algebraic concepts, such as variables as placeholders for unknowns, basic expressions, and one-step equations, shifting from concrete arithmetic to abstract problem-solving. This two-phase structure solidifies arithmetic fluency while building the symbolic thinking essential for Algebra 1, ensuring students grasp both numerical representation and relational balance before tackling multi-step equations.