## Reflection: Relevance Diablo 3 - The Marquis Emerald - Section 3: Summary

This lesson will captivate students if you present the game format clearly and quickly and break the question into a natural order. Each question should reveal the next and lead to the realization, "wow, this is more complicated then it seems!" Be careful not to throw all the questions at the students at once. Instead let them enjoy each success.

This is a common core question from every perspective, because the answer changes with every assumption. The video game world is abstract and we can only understand it by modeling situations. However, the prices we examine are always changing and the reality is that every player is only willing to do so much to succeed at a game. We can't assume all players will advance the emerald to a marquis from the chipped phase. As a player advances, they naturally get better stones while playing. At the same time, the lower stones lose value. However, the highest emerald you can pick while playing the game is the flawless square emerald. And since I play the game to relax, I don't want to buy everything. I just want to play and upgrade as I can. So as a class, we examine this last scenario together. This is the scenario of my character. How many flawless square emeralds and how much gold will I need to make 1 marquis emerald?

Yes, it really is worth teaching this lesson.
Relevance: Yes, it really is worth teaching this lesson.

# Diablo 3 - The Marquis Emerald

Unit 11: Law and Order: Special Exponents Unit
Lesson 9 of 17

## Big Idea: Video games are an interesting source contexts for mathematical analysis.

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Standards:
Subject(s):
Math, exponential function, exponential growth, Exponents, modeling, properties of exponents, Math 8, exponentiation, Laws of Algebra, skill development
60 minutes

### Shaun Errichiello

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