Math 380 Final Paper

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Michael Martinsen Math 380 Final Project I. The concept of a limit of a sequence is the topic I chose to demonstrate my deep understanding in and also apply and connect it to some common core math standards for middle school students. We were first introduced to this concept through the fractal tree exercise as we examined what happened to a sequence as n grew larger. We could then conclude that the sequences were either constantly increasing without bound or were only approaching a number by getting closer and closer without ever hitting the number. Our notes offered us 3 ways to approach this concept (no pun intended in using the term “approach,” there). The connection I’m going to make with the middle school standards will be focusing on the concept of limits in a graphical fashion, so I am going to describe my…show more content…
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (Function notation is not required in Grade8) CC.8.F.2 Define, evaluate, and compare functions. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. CC.8.F.4 Use functions to model relationships between quantities. Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

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