Lesson plan

Graph exponential and linear functions and predict new values by creating tables

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.C.7e http://corestandards.org/Math/Content/HSF/IF/C/7/e
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: The graph of an exponential function has a special, characteristic shape that distinguishes it from the graph of a linear function. We can use the graph of an exponential function to solve for particular input and output values. This task is designed to give students an idea of the characteristic shape of an exponential function, and to show how the graphs of exponential functions differ from the graphs of linear functions. This uses the same job pay option scenario as the previous tasks. Pay option A is a linear growth pattern, while pay option B is an exponential growth pattern. Students are asked to graph the patterns, and then use the graph to figure out when each option reaches $100, $500, and $1000 first. Students will notice that for the first two benchmarks option A reaches first, but for $1000 option B reaches first and keeps climbing faster than option A. Vocabulary: linear function, exponential function, rate of change