ARM 10.54.4110. UPON GRADUATION PERFORMANCE DESCRIPTORS AT THE PROFICIENT LEVEL

(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.