Mathematics Performance Level Definitions
ACTAAP Grade 5 Benchmark Examinations
Mathematics Performance Level Definitions
ACTAAP Grade 5 Benchmark Examinations
PERFORMANCE LEVEL / DEFINITIONBasic / Fifth-grade students performing at the basic level demonstrate some understanding of mathematical concepts, skills, and procedures in all of the standards in the five mathematics content strands of the Arkansas Frameworks. Mastery of basic whole number computation and ordering in problem settings must be evident.
Fifth-grade students performing at this level
· solve routine real-world problems with some accuracy in all mathematics strands using appropriate tools (four function calculators, rulers, geometric shapes, and other technology);
· recognize geometric properties in various forms;
· demonstrate an introductory level of understanding of the use of algebraic concepts;
· demonstrate some understanding of estimation, computation, and determining whether results are reasonable with whole numbers, fractions, decimals, and percents and their relationships;
· are developing the ability to read representations, such as charts, graphs, and other models, and can perform calculations involving data; and
· organize and present written responses with limited supporting evidence.
Proficient / Fifth-grade students performing at the proficient level consistently demonstrate proficiency in the use of mathematical skills and concepts at the application level. Students demonstrate fluency in computation, procedures, and strategies to solve problems in all of the standards of the Arkansas Frameworks.
Fifth-grade students performing at this level
· display an understanding through estimation, computations, and determine whether results are reasonable with whole numbers, fractions, decimals, and percents and their relationships;
· apply skills using calculators, rulers, and geometric shapes, as well as other technologies to real-world problem situations;
· can read and interpret models of data and can draw general conclusions;
· provide evidence of an understanding of variables and algebraic concepts;
· can communicate a general explanation of problem solving process and justify given solutions in all content strands; and
· demonstrate an understanding of introductory level geometric properties.
Advanced / Fifth-grade students performing at the advanced level will routinely apply conceptual knowledge and understanding to solve complex problems. Students will consistently demonstrate skills at the application level to all standards of the Arkansas Framework.
Specifically, fifth-grade students performing at this level
· solve real-world problems with effective communication and appropriate tools;
· solve problems involving fractions, decimals, percents, and ratios;
· demonstrate an understanding of geometric properties applied to problem situations;
· make inferences and conclusions from data and probability models;
· extend an understanding of algebraic concepts; and
· analyze the five mathematical content strands and make connections between the strands.