How should a cashier stock a cash register with coins? Learners use mathematical modeling and expected value to determine how many rolls of coins of each type they should place in a cash register.

Concepts

expected value, making decisions, math modeling

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Additional Tags

math

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Instructional Ideas

• Consider having class members work in groups to discuss their ideas
• It may be a good idea to discuss the answers to question one as a class as quided practice before having pupils work further

Classroom Considerations

• Basic knowledge of expected values is necessary
• Familiarity with US coins is necessary
• The teacher's guide suggests Internet access and optional spreadsheet software, so be sure these are available

Pros

• The activity includes an interesting application of mathematical modeling to a real-world situation
• Different situations are provided, requiring learners to critically analyze their own models and consider whether adjustments are necessary

Cons

• The teacher's guide refers to "Worksheet 1" and "Worksheet 2", but the student pages are not delineated as such

Common Core

HSS-MD.A.2 HSS-MD.B.7