Lesson plan

Recognize that an exponential function will always overtake a linear function by examining tables and graphs

teaches Common Core State Standards CCSS.Math.Content.HSF-LE.A.3 http://corestandards.org/Math/Content/HSF/LE/A/3

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Big Ideas: A quantity increasing exponentially will eventually exceed a quantity increasing linearly. Students are asked to make a table and graph three exponential pay scenarios vs. the same linear scenario. The exponential function modifies option B from lessons 1-4, where the daily pay doubles, increases by 5% daily, and increases by 1% daily. Students are asked to graph each option vs. the linear option, so that they can see that the exponential function will still eventually exceed the linear function, no matter how small you make the percent increase. Vocabulary: exponential function, linear function