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New Jersey Assessment of Skills and Knowledge (NJ ASK)

Performance Level Descriptors

Mathe

6/23/2009

__Partially Proficient__

Students performing at the Partially Proficient level have **limited** recall, recognition and application of basic facts and informational concepts.

- Partially Proficient students perform
**simple routine**procedures such as computing a sum, difference or product, and can use a specified procedure with some accuracy. These students have**limited ability to demonstrate**number sense by using place value concepts and fractions. Partially proficient students**may have****difficulty with determining the appropriate operation**for a given situation and with estimating their results.

- Partially Proficient students can
**apply basic concepts**of geometry and measurement. These students have a**basic working knowledge**of spatial sense, geometric properties and geometric relationships. Partially proficient students can**sometimes use**appropriate measurement tools accurately.

- Partially Proficient students have a
**basic understanding**of how quantities are related to one another and how algebra can be used to concisely represent and analyze those relationships. These students can recognize, describe, extend, and create**simple patterns**as well as solve**simple problems**involving functions.

- Partially Proficient students have a
**basic understanding**of how to apply the concepts and methods of data analysis, probability, and discrete mathematics. These students are able to read a graph, table, or chart.

- Partially Proficient students can
**identify and use basic mathematical terms**as well as apply some reasoning methods to solve simple problems.

__Proficient__

Students performing at the proficient level demonstrate recall, recognition and application of facts and informational concepts.

- Proficient students
**perform routine procedures**such as computing a sum, difference or product, and can use a specified procedure with accuracy. These students are able to demonstrate number sense by using place value concepts and fractions. Proficient students**determine the appropriate operation**for a given situation and can use estimation appropriately.

- Proficient students
**understand and apply concepts**of geometry and measurement. These students can**demonstrate a working knowledge**of spatial sense, geometric properties and geometric relationships. Proficient students can use appropriate measurement tools accurately.

- Proficient students
**demonstrate an understanding**of how quantities are related to one another and how algebra can be used to concisely represent and analyze those relationships. These students can recognize, describe, extend, and create patterns as well as solve problems involving functions.

- Proficient students
**understand and apply**the concepts and methods of data analysis, probability, and discrete mathematics. These students are able to read, interpret, and represent information in a graph, table, or chart.

- Proficient students
**use various forms**of representation to illustrate steps to a solution and**effectively communicate**a variety of reasoning methods to solve multi-step problems. Proficient students can explain steps and procedures for finding solutions, as well as check the reasonableness of their results.

__Advanced Proficient__

Students performing at the Advanced Proficient level demonstrate the qualities outlined for Proficient performance. In addition, these students determine strategies and procedures to solve **routine and non-routine** problems. An Advanced Proficient student draws appropriate inferences and provides explanations that are **consistently clear and thorough**. These students **consistently** demonstrate the ability to abstract relevant information, use **multiple strategies** and/or reasoning methods, and use various forms of representations to solve challenging problems. These students demonstrate an understanding of the reasonableness of their answers.