2.1.2 Comparing Change in Y and Change in X.pdf

2.1.2 Comparing Change in Y and Change in X.pdf - Diego...

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Name: _________________________________________ Period: ______ Date: ____________ In the previous lesson, you determined the growth and starting value of geometric tile patterns, and made connections between the pattern, table, and equation. In this lesson you will use your knowledge to determine an accurate value of growth from a graph. During this lesson, ask your teammates the following focus questions: x What makes lines steeper? What makes lines less steep? x How is growth related to steepness? x Where is the starting value on a line? 2-11. The table below represents a tile pattern. Figure # 0 1 2 3 4 # of tiles 2 7 12 17 22 a. Make a graph that represents this tile pattern. Should the points be connected? b. Draw a continuous line through the tile pattern points. Extend the line to the edges of the graph and beyond. The line you drew models the growth of the tile pattern. Models are often imperfect, but they are useful in describing complex situations and for making predictions. What assumptions does this linear model make about the tile pattern? Diego Gonzalez 8-9-16 No
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2-12. Does the model in the previous problem appear to be a function? If so, write the equation in function notation. If not, explain why it is not a function. 2-13. The three graphs below each model a different tile pattern. For each model: o Describe how the tile pattern grows and the starting value (number of tiles in Figure 0). x represents the figure number, and y represents the number of tiles in the figure.
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