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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