"How should I organize my assignments?"
Methods of organizing assignments/notes are largely dependent on your style of learning and thinking. The first step should be looking through your notes. How are they structured, and what does that say about how you learn? Regardless of this, it's important to keep things separate by class and due date. A planner is useful for this, and will also give you the ability to make incremental progress on assignments as opposed to putting them off. I like to keep copies of the syllabi so that I know how much each assignment is worth in my final grade. This lets me manage my time and figure out how to prioritize and sift through the heavy load. Depending on the structure of the class, having a three ring notebook might be useful. I keep a large 3-inch binder for each of my classes at home, and a smaller notebook with day-to-day notes. After I've tested over the unit, I transfer all of those materials to the 3-inch binder. It helps me keep everything in one place, and is great when doing final projects!
"How do you explain the relationship between a derivative and a tangent line?"
First, we need to understand what a limit is in order to understand a derivative and the tangent line. We will do this by examining a limit to infinity. This can be done visually by imagining two ants walking towards each other along a graph. As these ants walk infinitely close to one another, each of their respective positions along the graph become infinitely closer to a value; this is our derivative. With this in mind, let's now imagine a graph that depicts a car's speed as it travels along a mountainside. The derivative will give the instantanteous rate of velocity of this car at any given time, or in other terms, if we get infinitely closer to the car's position on the graph we will determine it's derivative.
"I have a paper due next week. What should I expect sessions to look like?"
We'll spend a good chunk of the preliminary session making sure we understand the prompt and deciding the approach you want to take on it. During that session, we will also establish an outline of the work that needs to be done as well as a timeline to keep each other accountable. In terms of the writing process, we're going to focus on organization first and set up a detailed skeleton of the paper. After that, we'll focus on the style of writing, tone, and mechanics. Ideally, you'll use a Google Doc so I can leave comments in between sessions, and work on the essay with you during the session. When we feel like the essay is the best it can be, I'll take a few minutes and read the essay to you and you'll tell me if something sounds strange or needs to be changed. That last session will also be used to reflect on the methods used during the whole process, and to have a conversation concerning what did and didn't work to ensure that I can better fit your learning and writing style.