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New Jersey Assessment of Skills and Knowledge (NJ ASK)

Performance Level Descriptors

Mathematics

(February 2009)

**Grade 6 Math**

__Partially Proficient__

Students performing at the partially proficient level generally require prompting to demonstrate a basic knowledge of numerical operations, units of measurement, modeling functions and relationships and systematic listing and counting at a limited level of performance.

In general, partially proficient students:

- Match operations to the corresponding key words
- Add and subtract fractions with the same denominator
- Identify the commutative, associative, identity and zero properties
- Demonstrate understanding of the concepts of area, surface area, and volume
- Identify scale on a map or scale drawing
- Estimate distance using non-standard units of measurement
- Complete a simple input/output table
- Recognize that a graph can represent the relationship between two variables
- List possibilities for a counting situation given a diagram
- Identify all members of a set

__Proficient__

Students performing at the proficient level may require prompting to demonstrate a basic knowledge of numerical operations, units of measurement, modeling functions and relationships and systematic listing and counting at a moderate level of performance.

In general, proficient students:

- Match operational symbols to corresponding key words
- Perform all operations with fractions and/or decimals using manipulatives
- Use inverse operations to check answers in multiplication and division problems
- Identify appropriate measurement units for area, surface area, and volume
- Calculate distance using a scale drawing
- Estimate distance using standard units of measurement
- Create an input/output table modeling a real life situation
- Complete a graph showing a relationship between two variables
- Complete a tree or Venn diagram to illustrate a counting problem
- List possible combinations of two elements from a set

__Advanced Proficient__

Students performing at the advanced proficient level generally require minimal prompting to demonstrate knowledge of numerical operations, units of measurement, modeling functions and relationships and systematic listing and counting at a high level of performance.

In general, advanced proficient students:

- Identify the appropriate operation to solve a given problem involving a real world situation
- Perform all operations with fractions and/or decimals using pencil and paper
- Identify the use of the distributive property
- Use appropriate measurement units for problems involving area, surface area, and volume
- Calculate actual distance using a scale drawing
- Solve real world problems using estimated measurements
- Translate an input/output table into a mathematical equation
- Create a graph showing a relationship between two variables
- Create an organized list of all possibilities in a counting problem without duplication
- Apply the multiplication principle of counting