1. Without Final Exams
For classes that do not include final exams, the semester grade (SG) is calculated using grades from multiple quarters, each assigned a specific weight. The formula is:
SG = (G1 × W1) + (G2 × W2)⁄W1 + W2
Where:
- G1 = Grade from the first quarter (converted to a numerical value)
- W1 = Weight of the first quarter grade
- G2 = Grade from the second quarter (converted to a numerical value)
- W2 = Weight of the second quarter grade
Example:
Take, for instance, a student who earns an A- in the initial quarter and a B in the subsequent quarter, with both quarters holding equal weight (50%) in determining the semester grade. Converting these letter grades to numerical values (A- = 3.7 and B = 3.0), the computation proceeds.
SG = (3.7 × 50) + (3.0 × 50)⁄50 + 50
SG = 185 + 150⁄100
SG = 3.35
In this scenario, the semester grade of 3.35 corresponds to a B+.
2. With One Final Exam
In classes that include a final exam, the semester grade is determined by combining the grades from the quarters and the final exam, each with a specific weight. The formula to calculate the semester grade is:
SG = (G1 × W1) + (G2 × W2) + (G3 × W3)⁄W1 + W2 + W3
Where:
- G1 represents the grade from the first quarter.
- W1 is the weight of the first quarter grade.
- G2 represents the grade from the second quarter.
- W2 is the weight of the second quarter grade.
- G3 represents the grade from the final exam.
- W3 is the weight of the final exam grade.
Example:
Consider a student who receives an A in the first quarter, a B in the second quarter, and an A on the final exam. The weights are distributed as follows: the first quarter is 20%, the second quarter is 20%, and the final exam is 60%. Converting the letter grades to numerical values (A = 4.0, B = 3.0), the calculation would be:
SG = (4.0 × 20) + (3.0 × 20) + (4.0 × 60)⁄20 + 20 + 60
SG = 80 + 60 + 240⁄100
SG = 3.8
In this scenario, the semester grade of 3.8 corresponds to an A-.
3. With Two Final Exams
For Classes With Two Final Exams, the semester grade (SG) is determined by integrating the grades from the first and second quarters along with the two final exams, each assigned specific weights. The formula used to calculate the semester grade is:
SG = (G1 × W1) + (G2 × W2) + (G3 × W3) + (G4 × W4)⁄W1 + W2 + W3 + W4
Where:
- G1 represents the grade from the first quarter.
- W1 is the weight of the first quarter grade.
- G2 represents the grade from the second quarter.
- W2 is the weight of the second quarter grade.
- G3 represents the grade from the first final exam.
- W3 is the weight of the first final exam grade.
- G4 represents the grade from the second final exam.
- W4 is the weight of the second final exam grade.
Example:
Let's consider a student who achieves 85% in the first quarter, 94% in the second quarter, 86% on the first final exam, and 92% on the second final exam. The weights for these grades are 10% for the first quarter, 10% for the second quarter, 40% for the first final exam, and 40% for the second final exam. The calculation would be:
SG = (85 × 10) + (94 × 10) + (86 × 40) + (92 × 40)⁄10 + 10 + 40 + 40
SG = 850 + 940 + 3440 + 3680⁄100
SG = 89.1
Thus, the semester grade is 89.1%.
4. With Only Two Exams
For classes evaluated through two final exams, the semester grade (SG) is derived by combining the grades from both exams, each weighted differently. The formula for calculating the semester grade is:
SG = (G1 × W1) + (G2 × W2)⁄W1 + W2
Where:
- G1 is the grade from the first exam.
- W1 is the weight assigned to the first exam.
- G2 is the grade from the second exam.
- W2 is the weight assigned to the second exam.
Example:
Let's consider a student who scores an A (equivalent to 4.0) on the first exam, which weighs 70%, and a B- (equivalent to 2.7) on the second exam, which weighs 30%. The calculation would be:
SG = (4.0 × 70) + (2.7 × 30)⁄70 + 30
SG = 280 + 81⁄100
SG = 3.61
Thus, the semester grade of 3.61 corresponds to a B+.