(Old) Sweet Tooth

How much Halloween candy should you eat?

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(Old) Sweet Tooth

How much Halloween candy should you eat?

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A newer, better version of this lesson is available! Explore all updated lessons here, or read more about the updates in Our Community.

2023-2024 Versions

In the fall of 2024, Citizen Math released updated versions of every lesson in our library, plus a few new ones! We know you may have already prepped an earlier version or planned a repeat of last year, so we're continuing to make these earlier versions available through Thursday December 5, 2024.

You can find the new lessons through the regular search, and we hope you love them as much as we do. You can read more about these updates in Our Community.

Click here for the updated version of this lesson!

How much Halloween candy should you eat? Every Halloween children return home with buckets of delicious candy, eager to tear off the wrappers and dig in. Yet for many people, the more candy they eat, the less they enjoy each additional piece.

In this lesson, students analyze graphs of linear and nonlinear piecewise functions to compare how much enjoyment people get as they eat through their candy and debate the best strategy for maximizing Halloween happiness.

REAL WORLD TAKEAWAYS

  • Many people’s enjoyment of something pleasurable – like Halloween candy – is not positively linear. More of a good thing is not always better.
  • Research suggests that income demonstrates diminishing marginal returns: As Americans earn up to $60,000/year, additional income tends to make people happier; after $60,000 additional income does not increase happiness.

MATH OBJECTIVES

  • Interpret graphs of non-linear functions, including discrete ones
  • Model non-linear functions graphically

Great anytime, including at the beginning of a unit before students have any formal introduction to the topic.
Grade 8
Functions
Grade 8
Functions
Content Standards
Mathematical Practices

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