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Three-act Math

Explore a dynamic approach to exponential growth/decay through real-world scenarios and interactive problem-solving techniques. Unlike traditional methods, this engaging three-act model empowers students to inquire, analyze, and apply concepts effectively. Discover how to turn math lessons into exciting narratives with practical relevance.

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Three-act Math

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  1. Three-act Math Produced and directed by chris watts

  2. Case study: Exponential growth/decay • Traditional Approach • “Here’s the formula. Copy it into your notebook.” • ”Let me show you how to do three examples.” • “Here are 20 practice problems.” • Students regurgitate this for the test and forget it.

  3. Case study: Exponential growth/decay

  4. Case study: Exponential growth/decay • “What questions do you have?” • “What would you need to answer those questions?”

  5. Case study: Exponential growth/decay • “Banks offer interest (a percentage of what you put in) to encourage you to give them your money to loan to others.” • [Later] “Fry earns about 2 cents in the first year. Is this constant?” • [Later] “How can find the value for 1000 years without going through the first 999?”

  6. Case study: Exponential growth/decay

  7. Three-act math (and movies)

  8. Case study: pizza • Act 0: “Imagine that you are walking around [in New York City] and you get hungry. You pass a place that you know has good pizza. What is the most you’d be willing to pay one plain slice?”

  9. Case study: pizza Act 1: How much is ”fair” for a slice of pizza? How much should ”they” / “we” charge for a slice of pizza?

  10. Act 2:

  11. Case study: pizza • Act 3: Find 5 pizzerias in the neighborhood. What is the price of one plain slice? How does this compare with what we found together? • Spoiler: Most charge between $2.75 and $3.25, with some “dollar pizza” options.

  12. Next Steps / Resources • Resources: • Www.101qs.com (Pictures that prompt a question) • Blog.mrmeyer.com (danmeyer’s blog) • Threeacts.mrmeyer.com (Google spreadsheet of links to three act math) • threeacts.mrmeyer.com/frysbank/ (link to videos shown here) • My stuff • Mail: chriswatts5@gmail.com • Twitter: @turndown4watts_

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