The assignment categories you mention, @lbranen-ahumada, sound to me like a perfect use case for the Outcomes tool in Canvas. What you can do is create outcomes for Problem Solving and Writing and then use each of those as criteria for a Rubric that you attach to the assignments where students have an opportunity to demonstrate they know how to write and solve problems. You can even decide for each outcome-as-rubric criterion whether it counts toward the points for the assignment.
The following documents from the Canvas Guides can help you get started with these tools:
How do I use the outcomes page in a course?
How do I manage rubrics in a course?
How do I add a rubric to an assignment?