Letter to Future Students

1. What do you want to say to them to help them have the most successful year possible?  Success is viewed differently in people's eyes, but to have a successful year of learning something new in Math Analysis, remember to do your WSQ daily and consistently. At first they will be a pain in the rear end to do but you need to do them in order to do well in class and in that specific math unit. Each WSQ teaches a new thing required for future math references and these WSQs are not there for Mrs.Kirch to torture you and laugh at your suffering but it is there for her to gauge how well you are learning the concept and see if you need help on a particular math concept.
2. How can they best adjust to the flipped classroom and learn to work with all the technology I require of them?  (do you have any specific tips for them or experiences you could share?)The best way to adjust to this new setting is to go with the flow. I'm the kind of person that doesn't care what happens unless it will affect me negatively. Follow Mrs.Kirch instructions and do exactly what she recommends you to do and that is the only way you will be able to adjust to this flipped classroom. Since you will be working with technology, remember to close out all distractions such as Facebook, AIM, and other messaging system so you can focus on math and learn something new.
3. What can they expect to be different from their previous math classes?Obviously this will feel extremely different from the usually teacher in front of class explaining and droning out a lesson. Some new things implemented in this learning system is that you will be engaged in technology a lot so make sure you have a way to access a computer or internet. Instead of the teacher explaining the lesson, you will be learning the lesson at your own pace but at home therefore fulfilling the real definition of homework. In class, you will have a lot of free time to work ahead and do practice problems or ask Mrs. Kirch for a 1 on 1 lesson if you didn't understand the concept from last night.

Unit V Big Question

The difference quotient is the slope of a secant line.to derive it, you would find the slope of a secant line.for the slope formula, to find the value of m, you use y-y1/x-x1. Start with the y axis to find the coordinates.first point is x and the distance between that point from another point is h.the second point is x+h.to find the value of y,, if you start at x, the value going up would be f(x) because its a function.then you plug in the expression x+h into f(x) to find the second point.so in the end the coordinates are (x,f(x)) and(x+h,f(x+h)).plug these coordinates into the slope formula and you will get the derivative formula.

Unit U Big Questions

1) a continuity is a continuous function but a discontinuity is when there is a break in the graph or a hole.
2)a limit is the intended height of a function.it exists everywhere except at points of non-removable discontinuity.a limit is the intended height of that point but a value is the actual height.

 3) to solve numerically, we use a take that is 0.1,0.01,0.001 value away from the original point.graphically, we are already given a graph so we just look and label where the limit exists.algebraically we either plug it in through substitution, factoring, rationalize, or infinite.