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## Sunday, October 4, 2009

### Exemplary 8th Grade POW Essay

The title of this POW is “Verdania: A Math Odyssey Chapter 4: Exploring”. This problem is about one of the groups on their exploration of the island. In this problem the group comes to a huge water fall. Miguel and Jesse are so amazed by the water fall they both estimate how high the water fall is. Miguel says that the top of the water fall is about 20 feet more then 3 times the height of a young pine tree. Jesse thinks that is wrong and that the top of the falls is about 50 feet less then 4 times the height of the same young pine. Jeanie says that they are probable both correct. But assuming both are correct how tall the tree would be and how tall is the water fall? Try to think of several ways you could solve this problem. Is there one best way? The important information in this problem is that Miguel thinks that the top of the water fall is about 20 feet more then 3 times the height of a young pine and Jesse thinks that the top of the falls is about 50 feet less then 4 times the height of the same pine. Assuming both are correct how tall would the young tree have to be and how tall is the water fall? Try to think of several ways you could solve this problem. Is there one best way? The main math topics imbedded in this problem are multiplication, division, subtraction, and algebraic equations.