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Da Vinci and Patterns of Tree Branches

Trees can stand up to 100-mile an hour winds during strong hurricanes. Why do some trees survive and others don’t? The answer may be in a mathematical pattern in tree growth—first observed by Leonardo da Vinci. The rule states that smaller tree branches have a precise, mathematical relationship to the branch they came from. A scientist that is studying how air flows around objects is also studying this pattern in tree branches and looking for an explanation. Listen to hear more about these observations about trees and mathematics in nature.


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Story Length: 2:55

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Listening Comprehension Questions

  • In what ways did Andrew Carnegie’s libraries serve their communities?
  • How did Carnegie benefit from a library when he was growing up?
  • Which personality traits helped propel Carnegie from poverty to riches? Bring specific details from the story to support your ideas.
  • According to Carnegie, what should rich people do with their money and why? Why was Carnegie known as both generous and “brutal”?

Discussion Themes

  • In your opinion, what should really rich people do with their fortunes?
  • What does it take for a person to rise from “rags to riches”?

Socrative users can import these questions using the following code: SOC-1234

Listening Organizers

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  • Deeper Meaning Chart