Coming up with an activity to replace a quiz I will be teaching my first Calculus I class this fall (USA) and 5 percent of the grading is discretionary. Other sections are doing three quizzes over the course of the semester, with each taking about 10 minutes. The quizzes are on limits, derivatives, and integrals, one for each topic.

I don't want to have quizzes or extra homework or make the 5 percent depend on participation or attendance. I was considering making a quiz-style activity that would be less stressful than taking an actual quiz, but I'm having trouble seeing what this would be like. By "quiz-like," I mean that it would be part of the 5 percent for the grade, which is worth more than a homework assignment.

Ideally I'm imagining a situation where two students work together, maybe even at the board, to solve the problems that otherwise would be presented as a quiz. But then there are issues with grading (two students share the grade?), or possibly cheating (looking over to the board of the neighbor group). It would still need to be around 10 minutes.

I'm open to new ideas about what this could be like. I'm not entirely against quizzes, it's just that the workload is heavy in this class and a quiz would be something else that students could obsess over.
How about a “reverse quiz”?

Say to the students that they each have to write 5 questions spread through the material. They provide the q and a and submit them 2/3 the way through the class.

The last 1/3 of the class you diplay the questions and discuss phrasing, ambiguity etc If the class is large then you pick at random, but I always did this anonymously - the number of students who would shout out “that’s mine” was high :) they liked this activity...

I did this with a simple grading structure : 80% for submission of 5 q and 90 or 100% for 5 perfect q ie no errors: grammar, spelling etc You can carve the marking scheme as you wish...

I found they spent more time working with the material for this than they would do for a standard quiz. It was also good as part of revision work.