DOE Archives

**Assessment**

High School Proficiency Assessment (HSPA)

Performance Level Descriptors

Mathematics

__(June 2002; rev. March 2010)__

__Partially Proficient__

High School students performing at the partially proficient level demonstrate limited evidence of conceptual and analytical understanding of mathematical knowledge, procedures, skills and process across all four content standards:

- Number and Numerical Operations
- Geometry and Measurement
- Patterns and Algebra
- Data Analysis, Probability and Discrete Mathematics

The partially proficient student inconsistently demonstrates:

- the ability to compute and/or estimate an answer to problems involving integers, rational numbers, etc.
- the ability to assess, identify, and apply the appropriate formula for a variety of computational, algebraic, and geometric models.
- the ability to collect, organize, represent/display, and interpret data.
- the ability to understand and apply geometric principles in relationship to real world applications.
- the ability to represent and analyze relationships among variable quantities and solve problems involving patterns, functions, and algebraic concepts and processes.
- the ability to apply and interpret the concepts of probability and discrete mathematics to solve problems.

Partially proficient students comprehend some mathematical vocabulary and communicate their reasoning ineffectually within and among the mathematical content areas.

__Proficient__

The proficient student demonstrates evidence of knowledge in all four content standards:

(Note: the following were renamed to reflect the 2002 Standards)

- Number Sense and Numerical Operations
- Geometry and Measurement
- Patterns and Algebra
- Data Analysis, Probability, and Discrete Mathematics

He or she consistently demonstrates the ability to compute and/or estimate an answer to problems involving integers, rational numbers, etc. He or she can assess, identify, and apply the appropriate formula for a variety of computational, algebraic, and geometric models. He or she can collect, organize, represent/display, and interpret data. He or she understands and applies geometric principles in relationship to real world applications. The proficient student demonstrates solid math performance in practical applications.

__Advanced Proficient__

The advanced proficient student performs at a level beyond the proficient student. He or she can analyze, synthesize, extend, and generalize math concepts in order to form conclusions and make predictions. He or she can create or extrapolate a rule or formula for a specific scenario. This student’s work displays the ability to move fluidly between the algebraic and geometric, the concrete and abstract.