(1) An eighth-grade student at the proficient level in mathematics demonstrates solid academic performance. He/she gives responses that exhibit clear understanding of the problem or situation presented and is able to make connections within the mathematical and/or real world. The student can determine a process, and sufficiently communicate correct problem solving strategies through relevant representations. Although there may be occasional errors, these do not interfere with appropriate strategies. Solutions are reasonable and well-supported.

(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.