Math 106 Scores and Grades

There are five tables of partial grades and one table of overall grades. The right-hand column of each table shows the actual percent that the table contributes to your total class percentage. The introductory paragraphs explain the math involved. It is all “just” algebra.

Challenge: Come up with your own general formula for combining weighted scores into an overall grade. You may learn something.


OK, so here’s an example of how we do the calculation. We convert (“normalize”) all the scores to fractional percentages. (So 15 out of 20 becomes 15÷20 = 0.75. There are no columns for these intermediate results, but there could be.) We add them all up. There are 8 columns so the total possible would be 8.00. Next we divide by 8 so the total is 1.00. And multiply by 100 to give percents. This gives the next-to-last column, labeled just “%”.

If you were graded only on classwork, this would be your total grade. But the classworks also have a weighting factor of 20%. Multiplying the “%” column by 0.20 gives us the last column. It will be added to the last column of the other tables (homework, notebook, and tests) to get your overall total score.



We do the calculations the same here, but the homework scores come from MyMathLab already in normalized form. (You could see what the original score was by multiplying the normalized score by the total possible. We omit that number.) So we just add them all up and divide by the number of scored to get an overall percent, again in the “%” column. Then multiply by the weight to get the last column.



Same scheme.



This one is trickier because we have to combine the online and written tests. I have already multiplied the MML-supplied percentage by 10 so that the online tests all count for 10 points. Then add that to the raw score for the written part, and divide by the total possible (10 plus written total). And multiply by 100 to give percents. That gives the score for the first test, “T1%”.

The second test is scored the same, but we use 42 points as the total for the written version, so 52 (42+10) for the total for both tests. There is an extra column (“T2% out of 42”) just for curiosity’s sake. It is not necessary for the other calculations. Also, you can’t get more than 100% for this exam.

The third test is yet again different from the other two. I added the online score to the written test, but don't include it in the total points. So they are all extra-credit points. However, I do cap the result at 100%.


Final Exam

This table is pretty much like the one for tests, but the final is counted separately: the other tests count for 30% combined; the final counts 30% by itself.