Distinguished - Includes a clear and concise introduction and conclusion that summarize the paper, including all required elements detailed in the Math Writing Guide.

Proficient - Includes an introduction and conclusion that summarize the paper, including all required elements detailed in the Math Writing Guide.

Basic - Includes an introduction and conclusion, but one or both are vague and/or may not include all required elements detailed in the Math Writing Guide.

Below Expectations - Includes an introduction and/or conclusion, but several required elements detailed in the Math Writing Guide are missing.

Non-Performance - The introduction and conclusion are either nonexistent or lack the components described in the assignment instructions.

Distinguished - Correctly sets up the proportion using the given numbers and selects an appropriate variable for the bear population. All steps of the process are fully explained.

Proficient - Sets up the proportion using the given numbers and selects an appropriate variable for the bear population. The proportion is nearly correct but contains a minor error. Most steps of the process are explained.

Basic - Sets up the proportion using the given numbers and selects an appropriate variable for the bear population. Part of the proportion is incorrectly structured. Steps of the process may be only partially explained.

Below Expectations - Sets up the proportion, but does not use the given numbers, does not select an appropriate variable for the bear population, or incorrectly structures the given numbers in the proportion. Steps of the process may not be explained.

Non-Performance - The proportion is either nonexistent or lacks the components described in the assignment instructions.

Distinguished - Correctly solves the proportion for each problem. All steps of the process are fully explained and shown in the required format.

Proficient - Correctly solves the proportion for each problem. Most steps of the process are explained and shown in the required format.

Basic - Correctly solves the proportion for each problem. Most steps of the process are explained; however, minor errors are present in the steps and/or the work does not follow the required format.

Below Expectations - Correctly solves the proportion for at least one problem. Steps of the process may be incorrectly formatted, missing, or unexplained.

Non-Performance - The solutions to the proportions are either nonexistent, incorrect, or lack the components described in the assignment instructions.

Distinguished - Clearly and seamlessly incorporates all four math terms in a way that effectively contributes to the discussion of the math concepts in the paper.

Proficient - Incorporates all four math terms in a way that contributes to the discussion of the math concepts in the paper. Some degree of accuracy or clarity may be lacking.

Basic - Incorporates at least three math terms in a way that only somewhat contributes to the discussion of the math concepts of the paper. Accuracy or clarity is lacking.

Below Expectations - Incorporates at least two math terms in a way that may not contribute to the discussion of the math concepts of the paper. Accuracy and/or clarity are lacking.

Non-Performance - The math vocabulary is either nonexistent or lacks the components described in the assignment instructions.

Distinguished - Displays meticulous comprehension and organization of syntax and mechanics, such as spelling and grammar. Written work contains no errors, and is very easy to understand.

Proficient - Displays comprehension and organization of syntax and mechanics, such as spelling and grammar. Written work contains only a few minor errors, and is mostly easy to understand.

Basic - Displays basic comprehension of syntax and mechanics, such as spelling and grammar. Written work contains a few errors, which may slightly distract the reader.

Below Expectations - Fails to display basic comprehension of syntax or mechanics, such as spelling and grammar. Written work contains major errors, which distract the reader.

Non-Performance - The assignment is either nonexistent or lacks the components described in the instructions.

Distinguished - Accurately uses APA formatting consistently throughout the paper and title page.

Proficient - Exhibits APA formatting throughout the paper. However, layout contains a few minor errors.

Basic - Exhibits basic knowledge of APA formatting throughout the paper. However, layout does not meet all APA requirements.

Below Expectations - Fails to exhibit basic knowledge of APA formatting. There are frequent errors, making the layout difficult to distinguish as APA.

Non-Performance - The assignment is either nonexistent or lacks the components described in the instructions.

Distinguished - The length of the paper is equivalent to the required number of correctly formatted pages.

Proficient - The length of the paper is nearly equivalent to the required number of correctly formatted pages.

Basic - The length of the paper is equivalent to at least three quarters of the required number of correctly formatted pages.

Below Expectations - The length of the paper is equivalent to at least one half of the required number of correctly formatted pages.  

Non-Performance - The assignment is either nonexistent or lacks the components described in the instructions.