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New Jersey Assessment of Skills and Knowledge (NJ ASK)

Performance Level Descriptors

Mathematics

(February 2009)

**Grade 7 Math**

__Partially Proficient__

Students performing at the partially proficient level generally require prompting to demonstrate a basic knowledge of number sense, measuring geometric objects, algebraic procedures, and probability at a limited level of performance.

In general, partially proficient students:

- Recognize that percents are a special case of ratios
- Use manipulatives to represent equivalent forms of fractions and decimals
- Distinguish between the use of area and perimeter
- Use manipulatives to compare volume of three-dimensional objects
- Identify integers on a number line
- Use manipulatives to solve linear equations
- Identify the order of operations
- Complete a chart to represent experimental probability
- Identify a situation that would cause a bias or random result in probability based games

__Proficient__

Students performing at the proficient level may require prompting to demonstrate a basic knowledge of number sense, measuring geometric objects, algebraic procedures, and probability at a moderate level of performance.

In general, proficient students:

- Match a percent to an equivalent ratio
- Match equivalent forms of fractions, decimals, and percents
- Calculate perimeter and area for basic figures or shapes
- Use manipulatives to compare volumes of pyramids to prisms and cylinders to cones
- Use a number line to show absolute value as distance
- Use a T chart to solve linear equations
- Simplify an algebraic expression using order of operations
- Collect probability data and answer questions using that data
- Demonstrate an understanding of the connection between probability outcomes and fairness

__Advanced Proficient__

Students performing at the advanced proficient level generally require minimal prompting to demonstrate knowledge of number sense, measuring geometric objects, algebraic procedures, and probability at a high level of performance.

In general, advanced proficient students:

- Use ratios, proportions, and percents in given situations
- Convert fractions, decimals, and percents to their equivalent forms
- Find the area and perimeter of combined shapes
- Compare volumes of figures with the same base and height
- Use a number line to graph absolute value or simple expressions
- Solve and graph simple linear equations
- Evaluate an expression using order of operations
- Compare theoretical and experimental probabilities
- Play a probability-based game and answer questions about fairness