(1) A graduating 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) quantification;

(ii) estimation and accuracy;

(iii) equivalence with multiple notation;

(iv) properties of numbers and number systems; and

(v) modeling relationships and change.

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

(i) representing and analyzing data;

(ii) evaluating validity;

(iii) rules of probability and expected value;

(iv) counting methods; and

(v) curve fitting.

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

(i) conjectures and inductive reasoning;

(ii) applications of geometric models;

(iii) multiple geometric approaches;

(iv) indirect measurement; and

(v) methods of proof.

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

(i) representing functions;

(ii) variables and parameters;

(iii) solving systems of equations and inequalities;

(iv) families of functions and transformations; and

(v) analyzing and conjecturing with models.