Lesson plan

Recognize the difference between exponential decay and exponential growth by examining functions with reciprocal common factors

teaches Common Core State Standards CCSS.Math.Content.HSF-LE.A.1c http://corestandards.org/Math/Content/HSF/LE/A/1/c

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Big Ideas: Graphs of exponential functions with reciprocal common factors are reflections of one another. As x approaches infinity, exponential graphs that approach infinity are called exponential growth. Exponential graphs that approach zero are called exponential decay. Students are asked to examine what is happening to a piece of paper as it is repeatedly torn in half. There are double the number of small pieces of paper each time, but the area of those pieces is half as much each time. Students will use graphing technology to examine these functions, and notice that they are reflections of one another on a coordinate plane. Vocabulary: exponential decay, exponential growth, common factor, exponential function Special Materials: Graphing Technology