Grade Calculation Methods and RESP Program Rules

Fundamentals of Academic Grade Calculation

Grade calculation in academic courses relies on three primary methods: total points, straight percentages, and category weights. Instructors and academic programs may utilize any single method or implement combinations of these approaches within the same class. Standard rounding conventions apply across grade calculations: values with decimals from $0.1$ to $0.4$ are rounded down to the nearest whole integer, whereas values with decimals from $0.5$ to $0.9$ are rounded up to the nearest whole integer.

Total Points Method

The total points calculation method determines a student's grade by dividing the cumulative points earned across all assignments by the total possible points available in the course.

$\text{Grade Percentage} = \frac{\text{Total Points Earned}}{\text{Total Points Possible}}$

For example, if a student earns $40$ points out of a total $50$ possible points on an assessment, the calculation is:

$\frac{40}{50} = 80\%$

When course grades utilize the total points method, every point earned is pooled together and divided by the grand total of all possible points. Under this scheme, smaller assignments, projects, quizzes, or minor exams that carry lower point totals naturally have a smaller relative impact on the overall final course grade.

Percentages Method

The percentages calculation method calculates the average of all percentage scores obtained on individual assignments, quizzes, and examinations. In this system, all individual assignment percentage grades are added together and divided by the total number of graded items.

$\text{Overall Percentage} = \frac{\sum \text{Individual Assignment Percentages}}{\text{Total Number of Assignments}}$

This form of calculation ensures that all graded items are equal in weight and importance, regardless of the individual point totals assigned to a project, quiz, or examination. For instance, consider a scenario with two assignments:

Exam #1:

$\frac{120}{150} = 80\%$

Quiz #1:

$\frac{9}{10} = 90\%$

Using the percentage averaging method, the final grade calculation treats both assessments equally:

$\frac{80\% + 90\%}{2} = 85\%$

By contrast, if the same scores are calculated using the total points method, the total points earned ($129$) are divided by total possible points ($160$):

$\frac{120 + 9}{150 + 10} = \frac{129}{160} = 80.625\% \approx 80.6\%$

This comparison illustrates how the percentage method elevates the weight of low-point assignments relative to the total points method.

Weighted Grade System in Respiratory Care Programs

In a weighted grading system, specific categories or course components are assigned fixed percentages that collectively add up to $100\%$ of the final grade. The respiratory therapist program utilizes weighted grade calculations to determine final course grades.

In RESP 100, the course grade is evenly divided between regular examinations and a final examination, using a $50/50$ split:

$\text{Exams Category Weight} = 50\%$

$\text{Final Exam Category Weight} = 50\%$

To calculate the contribution from regular exams, all exam percentage scores are summed and divided by the total number of exams to yield an average percentage. That average is then multiplied by the category weight ($50\%$ or $0.5$).

For example, if a student earns regular exam scores of $98\%$, $82\%$, and $85\%$:

$\frac{98\% + 82\% + 85\%}{3} = \frac{265\%}{3} \approx 88\%$

Multiplying this average by the $50\%$ category weight gives the earned exam points toward the final grade:

$88 \times 0.5 = 44$

To calculate the final exam contribution, the student's percentage score on the final exam is multiplied by the $50\%$ category weight ($0.5$). If a student scores $55\%$ on the final exam:

$55 \times 0.5 = 27.5$

Finally, the two weighted contributions are added together to produce the final overall course percentage:

$44 + 27.5 = 71.5\%$

Respiratory Courses with a Laboratory Component

Respiratory therapist program courses that include a laboratory component utilize a $40\% / 40\% / 20\%$ breakdown across course components. Regardless of overall percentage combinations, a critical academic policy applies: students must achieve a minimum score of $70\%$ in the DIDACTIC (lecture) portion AND a minimum score of $70\%$ in the LAB portion individually to pass the course overall.

Within the respiratory therapist program, the didactic component is calculated using a $40/60$ weighted split between regular exams and the written final exam:

$\text{Didactic Exam Weight} = 40\%$

$\text{Didactic Written Final Exam Weight} = 60\%$

Consider a student with regular exam scores of $98\%$, $82\%$, and $85\%$, resulting in an average exam score of $88\%$:

$88 \times 0.4 = 35.2$

If that student scores $55\%$ on the written final exam, the final exam contribution to the didactic grade is:

$55 \times 0.6 = 33$

Adding these weighted scores together gives the student's overall didactic grade:

$35.2 + 33 = 68.2\%$

In this scenario, because $68.2\%$ falls below the mandatory $70\%$ passing threshold for the didactic component, the student does not pass the course, even if their laboratory score is high.

Reverse Grade Calculations and Target Scores

Students frequently need to calculate the minimum percentage required on a final exam or an upcoming assessment to achieve a specific target course grade, such as a passing threshold of $70\%$. This calculation involves manipulating the weighting equation to solve for the unknown final exam score.

For a course using a $50/50$ split between regular exams and a final exam, consider a student who has earned regular exam scores of $70\%$, $60\%$, and $65\%$:

$\frac{70\% + 60\% + 65\%}{3} = \frac{195\%}{3} = 65\%$

The earned contribution from regular exams is calculated by multiplying by the $50\%$ weight:

$65 \times 0.5 = 32.5$

To achieve a target final grade of $70\%$, the required remaining contribution from the final exam is found by subtracting the earned regular exam contribution from the target grade:

$70 - 32.5 = 37.5$

To find the minimum percentage score required on the final exam itself, divide the needed contribution by the final exam weight ($0.5$):

$\frac{37.5}{0.5} = 75$

Thus, the student must earn at least a $75\%$ on the final exam to achieve a $70\%$ overall grade in the class.

The same algebraic process applies to the didactic component of a course using the $40/60$ weighted split. If a student currently holds a $65\%$ regular exam average, the earned exam contribution toward the didactic grade is:

$65 \times 0.4 = 26$

Subtracting this from the required $70\%$ passing threshold determines the contribution needed from the written final exam:

$70 - 26 = 44$

Dividing this required contribution by the written final exam weight ($0.6$) yields the required score on the written final exam:

$\frac{44}{0.6} \approx 73\%$

Therefore, the student must earn a $73\%$ on the written final exam to achieve the mandatory $70\%$ passing threshold in the didactic portion of the class.