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New Jersey Alternate Proficiency Assessment
Performance Level Descriptors
Mathematics

(February 2009)

Grade 11 Math

Partially Proficient

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

In general, partially proficient students:

  • Identify square roots with the same radicand
  • Determine if two matrices can be added and/or subtracted
  • Identify positive and negative slopes
  • Identify parallel, perpendicular, and intersecting lines on a coordinate plane
  • Identify the direction of a vector
  • Locate the minimum and maximum points on a graph of a parabola
  • Identify a reflection, dilation, and translation
  • Identify different ways to collect data

Proficient

Students performing at the proficient level may require prompting to demonstrate a basic knowledge of numerical operations, coordinate geometry, functions and relationships and data analysis at a moderate level of performance.  
 
In general, proficient students:

  • Identify whether radical expressions can be combined using addition and/or subtraction
  • Add or subtract two matrices
  • Find the midpoint of a line segment on a coordinate plane
  • Describe the length and direction of a given vector
  • Given a graph of a line, identify the x and y intercepts
  • Match the graph of a function to its reflection or translation
  • Make predictions using sampling data
  • Identify a sample bias in real world situations

Advanced Proficient

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

In general, advanced proficient students:

  • Add or subtract square roots
  • Multiply a matrix by a constant
  • Find the slope of a line on a coordinate plane
  • Add and subtract vectors
  • Graph a simple linear function
  • Match an algebraic rule to a graph of the function
  • Draw conclusions using sampling data
  • Draw mathematical conclusions about sample bias