Final Blog Post

Dear future Math Analysis Students,

In order to succeed in the flipped classroom you must not procrastinate and take responsibility of your assignments. If you are on task and watch all the videos on time and not get left behind your year will be less stressful and you will not feel overwhelmed and are more likely to succeed. In order to succeed you must have the motivation to achieve. Never give up, if you ever need help or are having trouble with a specific concept or unit that's what the flipped classroom is for, to get help in class from your peers and your teacher.

 The best way to adjust to the flip classroom is to first give it a chance and see the positives in it. Make sure you know all the things you must do as a student and the submitting requirements. Get familiar with the class and learn to accommodate to it. If you ever feel you are overwhelmed or ore confused about something you can always ask Mrs. Kirch or even your peers. The start is always the hardest but after you adjust you will be well informed and comfortable of all the things that must be done in her class in order to succeed. 

The difference from a normal classroom and a flipped classroom is that you have more responsibility in a flipped classroom. In order for you to succeed you have to make sure you get all your work done, you literally have control of how well you can succeed and the effort you put into it will determine your grade in the class. In addition, in the flipped classroom you have more opportunities to ask questions and review material that might have been forgotten about. For instance, if you forgot how to do some part of a math problem you can ask Mrs. Kirch for help, ask your peers, or re-watch the videos. You have more ways and options to ask for help in a flipped classroom.

Sincerely,

-Nancy M.

Unit V Big Question

1. When we take a point in the graph we label it (x, f(x)) and when we move the point to the left we get delta x which is another way of saying h. What connects these two points is the secant line, which goes through TWO points. We then have to find the slope where we use the formula y2-y1/x2-x1. We then plug in our (x, f(x)) into it as (x,y) in order to get the slope. This gives us f (x+h)-f(x)/h because the x’s cancel. So we also know that the smaller delta x is the more similar the secant line becomes like tangent. In order for it to work both the secant and tangent line must overlap, since tangent is only ONE point. So to find tangent all we do is take the limit as x approaches 0. We do this because we are trying to get delta x as smallest as possible that it almost reaches 0. This gets the delta x as small as possible which is what we want and where the different quotient comes from.