Would you work for a penny today? Use this activity to highlight the pattern of increase in an exponential function. Scholars compare two options of being paid: one linear and one exponential. Depending on the number of days worked, they must determine which model would earn them the most money.

Concepts

linear modeling, exponential models, non-linear functions, math modeling

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Additional Tags

math

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Instructional Ideas

• If pupils struggle with writing the exponential equation, ask them to start with a table of values
• Use as an introduction to exponential equations; highlight the differences/similarities between the linear and exponential equations

Classroom Considerations

• Consider allowing pupils to use graphing calculators 

Pros

• Uses a graphic organizer to illustrate the multiple representations possible
• Provides an activity handout and answer key

Cons

• None

Common Core

HSF-LE.A.1.a HSF-LE.A.3 MP1 MP2 MP3 MP4 MP6