How Tests 2 and 3 are being graded

below the fold...

Since the problem on proving that there is no largest prime was redone, I am counting only on one of the tests, and the scores are being computed in such a way that you get the maximum possible scores for the two tests subject to the constraint that the proof has to counted in at least one of the tests, and also that your Test 1 score will not go down from what it would be without that problem.

The two numbers on the front of Test 3 were, in order, your score on the part of Test 3 not including the proof (out of 70 points possible), and your score on the proof (out of 30 points possible).

So here is how I do it (or, rather, my spreadsheet does it):

* The score for this proof (or the highest of the two scores, if you did it both times) will be added to either the Test 2 score or the Test 3 score (of the points not including this proof), whichever is higher.

* The score on the other test will be computed as a percent: the number of points you got on the other problems of that test, divided by 70 total points (and turned into a percent).

* The only exception to this is if this procedure would result in a lower percentage score on Test 2 than what I told you when I handed it back: if that happens, I will count the proof to Test 3 regardless.

Example: suppose Evelyn got 54 points on Test 2 for the problems other than this proof, and got less than 20 for the proof (in which case I did not give a score for it). Also Evelyn got 49 points on Test 3 for the problems other than this proof, and got 25 points for the proof.

In this case I would first add the 25 points for the proof to Evelyn's Test 2 score, since it was higher.

Evelyn's Test 2 score is now 54+25 = 79%

Evelyn's Test 3 score is 49/70 = 0.7 = 70%

The score on Test 2 if I would not include the proof problem would be 54/70 = approximately 77%. So Evelyn's Test 2 score has gone up from this.

Basically, I am including the score for this proof in whichever test score will give you the best result for your final grade. I will let you know what you two test scores are before the end of the semester (i hope)!