(1) A graduating student at the advanced level in mathematics demonstrates superior performance. He/she:

(a) is self-motivated, an independent learner, and extends and connects ideas;

(b) is accurate, articulate, and effective when applying mathematical processes;

(c) effectively uses multiple strategies, extends concepts to new situations, and skillfully communicates the results;

(d) explores hypothetical questions, uses complex reasoning to articulate valid arguments, and constructs proofs;

(e) uses appropriate technology to apply functions, graphs, and algebraic concepts to solve real and theoretical problems;

(f) applies complex measurement and geometric and algebraic relationships to model a variety of problems and situations;

(g) consistently makes accurate and reasonable predictions and decisions based on data, probability, and statistics; and

(h) recognizes interconnections within and outside mathematics.