Example 1: A student studied a year part-time in a Bachelor of Arts (4 subjects; 10 credit points each) before Unitisation occurs. For these subjects, the student attains the following grades: 6, 5, 4, 5. The student then studies another semester part-time (2 subjects; 2 units each), and attains the following grades: 4, 5. The student’s cumulative GPA needs to be calculated.

WORKING

Before unitisation, the student studied 40 #.

U¹ = (16 x 40 x 3) /240 = 8

The GPA^a in the equation (where  grades obtained pre-unitisation are factored in) is:

GPA^a =     S (CP_n x G_n)
                ___________

                    S CP_n

= (10x6 + 10x5 + 10x4 + 10x5)
_________________________

            10+10+10+10

= 60+50+40+50
______________

            40

= 5

After unitisation, the student undertook 4 units.

U² = 4 units

The GPA ^b in the equation (where grades obtained post-unitisation are factored in) is:

GPA^b = S (U_n x G_n)
             ___________

                    S U_n

= (2x4 + 2x5)
____________

            4

= (8+10) / 4

= 4.5

Thus, if

Cumulative GPA = (GPA^a x U¹) + (GPA^b x U²)
                            ________________________

                                        U¹+ U²

Then,

= (5 x 8) + (4.5 x 4)
________________

           8 + 4

= 40 + 18
________

    12

= 4.83.

The student’s cumulative GPA = 4.83.

Example 2: A student began her study in a Bachelor of Science. In her first year, she studied only what she needed to to obtain a new rank for upgrading purposes (80#). She studied several subjects in that year: four 12 # subjects in which she achieved the following grades: (5,5,6,7); two 10 # subjects in which she attained the following grades: (5, 6); and two 6 # subjects in which she attained the following grades: (6, 7).

She successfully applied through QTAC for entry to Physiotherapy and began studying this different course the following year. In this year she studied the following subjects from the first-year schedule for Physiotherapy and attained the following grades: 9# (4); 10# (4); 5# (5); 10# (4); 8# (5); 6# (6); 10# (4); 20# (4); 18# (5).

Then Unitisation came in.

In her second year of Physiotherapy, she studied 6 two-unit subjects (4,5,6,4,4,4) and 1 four-unit subject (4).

The first aim is to calculate the Total Cumulative Grade Point Average.

WORKING
In our equation we will have two GPA^a s. ie. we will have GPA^a1 for Science and GPA^a2 for Physiotherapy, as two programs contribute to the grades prior to unitisation. We will also have two U^1s ie. we will have U^1a for Science and U^1b for Physiotherapy.

Before unitisation, under Science, the student studied 80 #.

U^1a = (16 x 80 x 3) / 290 = 13.24 (rounded)

This student has completed approximately 13.24 units pre unitisation under Science.

Before unitisation, under Physiotherapy, the student studied 96 #.

U^1b = (16 x 96 x 4) / 379 = 16.21 (rounded)

This student has completed approximately 16.21 units pre-unitisation under Physiotherapy.

GPA^a1 = S (CP_n x G_n)
                __________    (for those subjects studied under Science)

                            S CP_n

= (12x5 + 12x5 + 12x6 + 12x7 + 10x5 + 10x6 + 6x6 + 6x7)
________________________________________________

                    12+12+12+12+10+10+6+6

= (60+60+72+84+50+60+36+42)
____________________________

                                    80

= 5.8

GPA^a2 = S (CP_n x G_n)
                ___________      (for those subjects studied under Physiotherapy)

                              S CP_n

= (9x4 + 10x4 + 5x5 + 10x4 + 8x5 + 6x6 + 10x4 + 20x4 + 18x5)
___________________________________________________

                                9+10+5+10+8+6+10+20+18

= (36+40+25+40+40+36+40+80+90)
______________________________

                                96

= 4.45

After unitisation, the student undertook 16 units in her second year of Physiotherapy.

U² = 16

The GPA ^b in our equation (where we factor in the grades obtained post-unitisation) is:

GPA^b = S (U_n x G_n)
            ___________

                    S U_n

= (2x4 + 2x5 + 2x6 + 2x4 + 2x4 + 2x4 + 4x4)
_____________________________________

                        2+2+2+2+2+2+4

= (6+10+12+8+8+8+16)
_____________________

                    16

= 4.25

Thus, if

Total Cumulative GPA = (GPA^a1 x U^1a) + (GPA^a2 x U^1b) + (GPA^b x U²)
                                        _____________________________________

U^1a + U ^1b + U²

Then,

= (5.8 x 13.24) + (4.45 x 16.21) + (4.25 x 16)
_____________________________________

                13.24 + 16.21 + 16

= (76.79 + 72.13 + 68)
___________________

            45.45

= 4.77

The student’s total cumulative GPA = 4.77.

Example 3: To calculate only the Cumulative GPA for this student, you simply use only those numbers relevant to the Physiotherapy studies.

Ie.

Cumulative GPA = (GPA^a2 x U^1b) + (GPA^b x U²)
                               ________________________

U^1b + U²

= (4.45 x 16.21) + (4.25 x 16)
________________________

16.21 + 16

= (72.13 + 68)
____________

        32.21

= 4.35.

The student’s cumulative GPA = 4.35.