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 - Clearly and accurately explains what each of the three variables represents.

Proficient - Explains what each of the three variables represents. Minor errors and/or ambiguities are present in the explanation.

Basic - Explains what at least two of the three variables represent. Moderate errors and/or ambiguities are present in the explanation.

Below Expectations - Explains what at least two of the three variables represent; however, significant errors and/or ambiguities are present in the explanation.

Non-Performance - The explanation of what each of the variables represents is either nonexistent or lacks the components described in the assignment instructions.

Distinguished - Correctly uses the formula and evaluates the rational exponent to determine the capsize screening value. All steps of the process are fully explained and shown in the required format.

Proficient - Correctly uses the formula and evaluates the rational exponent to determine the capsize screening value. Most steps of the process are explained and shown in the required format.

Basic - Correctly uses the formula and evaluates the rational exponent to determine the capsize screening value. 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 - Attempts to determine the capsize screening value; however, the use of the formula and/or evaluation of the rational exponent contain errors. Steps of the process may be incorrectly formatted, missing, or unexplained.

Non-Performance - The determination of the capsize screening value is either nonexistent or lacks the components described in the assignment instructions.

Distinguished - Correctly solves the capsize screening formula for d, evaluating the rational exponent. All steps of the process are fully explained and shown in the required format.

Proficient - Correctly solves the capsize screening formula for d, evaluating the rational exponent. Most steps of the process are explained and shown in the required format.

Basic - Correctly solves the capsize screening formula for d, evaluating the rational exponent.  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 - Solves the capsize screening formula for d, but the use of the formula and/or evaluation of the rational exponent contains errors. Steps of the process may be incorrectly formatted, missing, or unexplained.

Non-Performance - The solution to the capsize screening formula for d is either nonexistent or lacks the components described in the assignment instructions.

Distinguished - Correctly uses the formula and evaluates the rational exponent to determine the displacement for safe ocean sailing. All steps of the process are fully explained and shown in the required format.

Proficient - Correctly uses the formula and evaluates the rational exponent to determine the displacement for safe ocean sailing. Most steps of the process are explained and shown in the required format.

Basic - Correctly uses the formula and evaluates the rational exponent to determine the displacement for safe ocean sailing. 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 - Attempts to determine the displacement for safe ocean sailing; however, the use of the formula and/or the evaluation of the rational exponent contains errors. Steps of the process may be incorrectly formatted, missing, or unexplained.

Non-Performance - The determination of the displacement for safe ocean sailing is either nonexistent or lacks the components described in the assignment instructions.

Distinguished - Explains why the use of this equation is important for shipbuilders. The explanation is clear and plausible.

Proficient - Explains why the use of this equation is important for shipbuilders. The explanation is slightly unclear or implausible.

Basic - Explains why the use of this equation is important for shipbuilders. The explanation is moderately unclear or implausible.

Below Expectations - Minimally explains why the use of this equation is important for shipbuilders. The explanation is significantly unclear and/or implausible.

Non-Performance - The explanation of why the use of this equation is important for shipbuilders is either nonexistent or lacks the components described in the assignment instructions.

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

Proficient - Incorporates all three math terms in a way that contributes to the discussion of the math concepts in the paper. A minor degree of accuracy or clarity is lacking.

Basic - Incorporates at least two 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.