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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