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Functions Defined by Data

MATH IN FLIGHT. Functions Defined by Data. First Class Postage Rates. (Source of data: Associated Press, 7/2/2000.). Piecewise Solution. The year is 2006. The current price of a first-class stamp is $0.39. Does this fit the trendline?

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Functions Defined by Data

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  1. MATH IN FLIGHT Functions Defined by Data

  2. First Class Postage Rates (Source of data: Associated Press, 7/2/2000.)

  3. Piecewise Solution

  4. The year is 2006. The current price of a first-class stamp is $0.39. Does this fit the trendline? • From the data, what do you predict the price of a stamp will be in 2010?

  5. What is this?

  6. Mystery Data • Dist vs. Time data • How fast is the object moving? • Is the speed changing? • Connections to distance vs. time graph? • (For fun): what is this object?

  7. Calculator Lists: TIMEA and TDIST

  8. Calculator Lists: TIMEB and DDIST

  9. http://flightaware.com/live/

  10. Flight Aware Live Tracker Web Page • Select a plane type – Boeing 767 • Select a flight – Delta Flight - • Cincinnati to Atlanta • Select STATUS to see details of flight

  11. FLIGHT PATH

  12. Distance Traveled (miles) vs. Time (min.)

  13. Altitude (ft) vs. Time (min)

  14. Piecewise Function

  15. For 0 < t < 10 sec.

  16. Altitude (ft) vs. Time (min)

  17. Middle Piece

  18. 10 < t < 42

  19. Finish with Model of Descent

  20. Atlanta to Dulles

  21. Collect Live Data • Students can collect live data • Model the data they collect with mathematical equations. • Linear to Quadratic to Other models • Rate of Change – Average to Instantaneous for Precalculus to Calculus

  22. Thank You Diane Leighty Mathematics Coordinator Powhatan County Public Schools diane.leighty@powhatan.k12.va.us Powerpoint will be posted to website: www.powhatan.k12.va.us/teachers/dleighty/Dleighty.htm

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