Use mathematics to show your classes the power of a good model. Young mathematicians analyze the famous Ponzi pyramid scheme using an exponential pattern. They make conclusions on the reliability of the plan and why it is illegal. 

Concepts

exponential growth, exponential models, exponents, power, problem solving techniques, math modeling

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Additional Tags

math

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Instructional Ideas

• Use as an introduction to exponential functions, and to illustrate how quickly an exponential model can grow
• Form collaborative groups to complete this task; ask for multiple ways to explain the solution to the first question
• Ask learners who are having difficulty finding a pattern to create a table that represents the number of people paying after each new send
• Connect to a social studies unit in which class members research historic and modern examples of Ponzi schemes

Classroom Considerations

• Learners that do not have practice answering open-ended questions may need guidance with expectations

Pros

• Includes several examples of student work
• Shows the various methods pupils can use to solve the problem
• Provided rubric gives an idea of what to look for when assessing work and how to assign points

Cons

• None

Common Core

8.EE.A.1 8.EE.A.2 8.EE.A.3 8.EE.A.4 MP2 MP3 MP6 MP7