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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