Bringing it Together
• Interpret graphs and expressions for exponential functions. • Model depreciation with linear and exponential functions. • Compare linear and exponential models.
In this section, students bring together much of what they have learned in this unit. They use their ability to write linear and exponential functions given two input-output pairs, they compare different models, both linear and exponential, and draw conclusions from them.
WHAT: Students are given the value of different iPod models at different times, and construct both linear and exponential models for their value over time F-LE.A.2 MP.4. They consider which model is most realistic MP.2. They also compare and contrast the depreciation of a few different Apple products, understanding the different depreciation rates and how they relate to each other.
WHY: The purpose of this task is to provide students with a real-world situation where both a linear or exponential model might be viable F-LE.A.1. Students examine and interpret the models F-IF.C.7e, F-LE.B.5 and make an argument about which one is more realistic MP.3. They compare linear with exponential models, and they also compare different exponential models.
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