(1) A graduating student at the nearing proficiency level in mathematics demonstrates partial mastery of the prerequisite knowledge and skills fundamental for proficiency. He/she gives responses that exhibit some understanding of the problem or situation presented and can make rudimentary connections between the mathematical and/or real world. The student struggles to communicate effectively and uses limited evidence of representations to show understanding. Although some basic reasoning skills are apparent, computational skills and problem solving strategies are insufficient. Frequent errors and lack of structure detract from mathematical knowledge and skills.

(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.