Common Core State Standards for Mathematics
Standards for Mathematical Practice
Reason abstractly and quantitatively.
Look for and express regularity in repeated reasoning.
High School - Algebra
Arithmetic with Polynomials and Rational Expressions
Rewrite rational expressions
Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Ohio Mathematics Academic Content Standards (2001)
Patterns, Functions and Algebra Standard
Grade Level Indicators (Grade 12)
Make arguments about mathematical properties using mathematical induction.
Make mathematical arguments using the concepts of limit.
Principles and Standards for School Mathematics
Understand patterns, relations, and functions
generalize patterns using explicitly defined and recursively defined functions;