To have the most successful year possible in this class you must do your work! Do all the work that is assigned, do it on time, and do it to improve your mastery of the concepts and to be prepared for the tests. If I did all the work assigned, I would now have a near perfect grade. If I did all the work on time, I would not have so many homework cards, central detentions and Saturday schools like I do now. If I did not do the work (the PQ's/PT's), then I would not be as confident as I am now for calculus. Do your work; that's all you need to do.
There is no best way to adjust to the flipped classroom. You just do it. Think about adjusting to the flipped classroom as an obstacle that you must overcome in order to succeed in this class. Do what Mrs. Kirch says. Trust her. I know there is a lot of work that seems pointless or sometimes degrading but if you want to pass this class with an A then just do it because you will thank Mrs. Kirch later for getting you well prepared for calculus which is the point of this class.
There is not much difference from the previous math classes. You learn a concept and then you do a lot of problems to practice your understanding of the concept. The only differences will be that you will use technology a lot more and where you learn the concept and where you do the problems are switched.
Thursday, June 6, 2013
Monday, June 3, 2013
Unit V Big Question
Where does the formula for the difference quotient come from?
The difference quotient formula is:
f(x + h) - f(x) / h
H is also known as delta x.
In a graph, one can find a secant of the graph by using two points and finding the slope of this secant. One point would be (x, f(x)). The second x-value would be delta x units away which would make the second point (x + delta x, f(x + delta x)). Using the slope formula: y2 - y1 / x2 - x1 we would get the difference quotient if you substitute delta x for h and if you combine like terms correctly you would get the difference quotient formula above. However, one would only get the slope of a secant formula but to ensure one gets the slope of the tangent line, one must place a limit and more specifically a limit that has h approaching 0.
The difference quotient formula is:
f(x + h) - f(x) / h
H is also known as delta x.
In a graph, one can find a secant of the graph by using two points and finding the slope of this secant. One point would be (x, f(x)). The second x-value would be delta x units away which would make the second point (x + delta x, f(x + delta x)). Using the slope formula: y2 - y1 / x2 - x1 we would get the difference quotient if you substitute delta x for h and if you combine like terms correctly you would get the difference quotient formula above. However, one would only get the slope of a secant formula but to ensure one gets the slope of the tangent line, one must place a limit and more specifically a limit that has h approaching 0.
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