Man, I’ve been gone for far too long. I mean my last post was like back in the Reagan administration! So I thought I’d come back to blogging with something not really too techy but nonetheless important. I want to talk about weighted grades and how bad they are and what we can do to replace them.
What are weighted grades?
Weighted grades utilize categories and then each category has a certain percentage. I know that’s not very clear but check out the example we will be using for this post below.
* Tests = 40%
* Quizzes = 30%
* Homework = 20%
* Participation = 10%
As you can see if you add up all the percentage you will reach 100%. This is the basic set up for weighted grading. Teachers can have more or less but it must add up to 100%.
Why do teachers/schools use weighted grades
It all has to do with volume. If you use a point only grading system, where everything has a point value and no categories, and you have fifteen homework assignments that total 500 points and two tests that total 200 points, then you can see how homework grades can overpower the assessments. Check out the example below to see what I mean. Let’s assume this is a typical student with no extreme test anxiety.
As you can see this student (completely fictitious by the way) did reasonably well on her/his homework (B average) but when it came time for the tests, there is a big drop. You can also see they are nearly failing, but when you see the C+ on the final grade you think – this student didn’t do too bad. The final grade doesn’t reflect what is happening. What is happening was that the homework grades were overpowering the test grades thus not giving a realistic depiction of what is happening. There can be a lot of explanations here, maybe they were working on their homework with a tutor, friend or parent but maybe didn’t prepare for the tests too well, thus the student had not reached any mastery at all.
So people came up with weighted grades. Let’s take a look at those same grades but weighted. Let’s make the weighting for these grades equal 50% for homework and 50% for tests. What we need to do is multiply the percentage by the average for each category and then add them together.
Now the average is 72.94%. A little more reliable. Now, let’s re-weight those categories. Let’s make tests 70% and homework 30%. Now the result is a 68.36% (D+ grade). This works even better. You are probably saying to yourself Patrick – what’s the problem? This seems to work! At first it does but let’s look at a more complicated scenario in the next section.
When and A- actually equals a B+
In this example we will look at student with 4 different categories listed below.
* Tests = 40%
* Quizzes = 30%
* Homework = 20%
* Participation = 10%
Now let’s go take a look at Fred’s grades (I like the name Fred). So check out the Fred’s academic performance.
He has a steady 90% A- right now but that will change. I am going to give Fred an A (94%) on his next quiz and watch what happens to his overall grade.
Holy crap! Fred had an A-, received an 94%, A on his last quiz and his grade dropped from a 90% A- to a B+. Now let me say that one more time. Fred had 90% = A-. He took a quiz and scored a 94% = A. His last grade was higher than his overall averaged yet it dropped his grade!
So what the hell happened here? Why did everything go all pear shaped. Why did up become down? For that we need to look into the math.
Here is the formula which explains how this is calculated. I’ll write it in words and then with numbers:
(Tests weighting) + (Quizzes weighting) + (Homework weighting) + (Participation weighting)
The actual equation:
(85.1 x .40) + (97.6 x .30) + (84.9 x .20) + (90 x .10) = 89.3, B+
The first set of numbers represents the test weighting and so on. What happened was that Fred had a 100% quiz average before quiz #3. When he scored an A, it dropped his quiz average which ultimately dropped his overall average. So there it is – the correct math explaining why a students grade dropped from an A- to a B+ even though they scored an A on a quiz.
This is not some mythical grading unicorn that doesn’t happen ever – this happens all the time, every year. I mean how do you explain that to a student or a parent? How do you show them this (or similar equation) and expect that to justify that their student did well. It’s not good enough. It simply does not seem fair.
How did you do that again?
Another issue with weighting grades is the math behind it. As you can see, the math behind it is not that difficult, yet I would guess that over 50% of teachers I’ve encountered who use weighted grades could not explain it to their students or parents.
I’ve even have had high school counselors come to me and inquire about situations like this. These are smart people but in their mind it doesn’t make sense even though it is mathematically correct.
Now if the teachers and counselors are a little unclear about it can you guess how many students know how to calculate their grades? Yep – shockingly low. Shouldn’t people understand how this is calculated? You bet they should. Transparency within school is key to its success. It shouldn’t be a black box where the only people who knows what is happening are the people working there.
The first thing to do is take weighted grades and dump them at the beginning of the next school year. Just dump them man – get rid of them. Then move to a point only system. Here you can have a few a choices of how to deal with points but it boils down to good planning.
This solution is give all teachers 1,000 points. They have to create assignments, assessments, projects, whatever but it must total 1000 points. This forces the teacher(s) to plan carefully, thoughtfully and make sure that no entry can overpower another entry. That way everyone knows – without asking- how the grade is calculate. Just add up all the points and divide by 1000. Simple for admin, parents and students.
The downside to this is that the teachers won’t be too happy. Teachers like the freedom to evaluate and change their course on the fly as they needs arise. Also, what if they spend too much time on a lesson and can’t get all 1,000 points in? These are legitimate concerns but it does give a solid structure that gives the teachers.
Another argument against this is that there are some classes where it may be difficult to work 1,000 points such as drama, music or art classes were performance and long term projects are the norm.
Another possibility is to give some freedom but with a tiny catch. Allow teachers to use a point only system but allow them to come up with what the final number of points will be. However, teachers need to plan and submit all their plans for graded assignments/assessments. It should also be revealed to students/parents as well. Transparency is key here.
Another more radical approach is dumping grades all together but that’s a post for another time. For now, however, if you’re using weighted categories – try dumping them to a more transparent and fairer point only system.
What do you think? Leave those comments below.