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Bottles and Divers
(Rates of Change)
High School Math Project

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Procedure	Tips from Ellen
Assessment	Resources
Extensions & Adaptations	Ideas for Discussion
Mathematically Speaking	More Lessons: Grades 9-12

Extensions & Adaptations

• The following is a nice activity for groups that finish Graphically Speaking data collection and plotting before others.

  Imagine filling each of the containers shown below by adding water in 10 equal-size amounts. Sketch the predicted (volume, height) graphs for each pair of containers. Plot each pair of graphs on a separate set of coordinate axes.

  
• The Bungee Jumper and The Fish Population are included as additional activities that allow the students to use the difference equation in their calculators to quickly determine rates of change in addition to exploring some different function models.

  
  
  

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