(1) An eighth-grade student at the advanced level in mathematics demonstrates superior performance. He/she gives responses that exhibit advanced understanding of the problem or situation presented. The student consistently demonstrates advanced conceptualization and makes connections within and between the mathematical and real world. The student is able to apply more than one process, use multiple representations, and determine solutions accurately. Reasoning and structure of responses are clearly communicated and justified.

(a) The student demonstrates these abilities under content standard 1 in the areas of:

(i) rational number relationships;

(ii) estimation and reasonableness;

(iii) number theory;

(iv) rational number operations;

(v) metric and standard measurement; and

(vi) proportional reasoning.

(b) The student demonstrates these abilities under content standard 2 in the areas of:

(i) representing and comparing data;

(ii) evaluating data and making conjectures; and

(iii) finding probability and predicting.

(c) The student demonstrates these abilities under content standard 3 in the areas of:

(i) properties of solids and figures;

(ii) congruence and similarity;

(iii) transformations including dilations;

(iv) angles, surface area, and volume; and

(v) justifying relationships.

(d) The student demonstrates these abilities under content standard 4 in the areas of:

(i) representing and generalizing patterns;

(ii) linear functions;

(iii) multi-step equations and inequalities;

(iv) equivalent algebraic expressions; and

(v) linear modeling.