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New Jersey Assessment of Skills and Knowledge (NJ ASK)
Performance Level Descriptors

Mathematics

(February 2009)

Grade 5 Math

Partially Proficient

Students performing at the partially proficient level generally require prompting to demonstrate a basic knowledge of numerical operations, geometric properties, functions and data analysis at a limited level of performance.

In general, partially proficient students:

  • Use manipulatives for adding and subtracting decimals and fractions with common denominators
  • Identify dividend and divisor, sum, difference, product and quotient
  • Identify triangles and quadrilaterals
  • Recognize congruent shapes
  • Recognize that an input/output table relies upon a pattern
  • Conduct a survey
  • Identify bar, line, and circle graphs and tables

Proficient

Students performing at the proficient level may require prompting to demonstrate a basic knowledge of numerical operations, geometric properties, functions and data analysis at a moderate level of performance.

In general, proficient students:

  • Use procedures for adding and subtracting decimals and fractions with common denominators
  • Use manipulatives to demonstrate basic division problems
  • Use estimation skills to check reasonableness of an answer
  • Identify polygons and describe them by their angles and sides
  • Recognize congruent and similar shapes
  • Complete a simple input/output table
  • Collect and organize data from a survey
  • Answer questions about graphs and tables

Advanced Proficient

Students performing at the advanced proficient level generally require minimal prompting to demonstrate knowledge of numerical operations, geometric properties, functions and data analysis at a high level of performance.

In general, advanced proficient students:

  • Use and explain procedures for adding and subtracting decimals and fractions with common denominators
  • Perform division with  single or double digit divisors
  • Check answers using inverse operations
  • Compare and classify polygons
  • Illustrate and explain congruent and similar shapes and lines of symmetry
  • Explain the rule used and graph coordinate points using an input/output table
  • Create a survey, collect and display the data
  • Create questions and make inferences and predictions based on a graph or table