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Understanding Periodic Functions and Climate Change Impact on CO2 Levels

This homework assignment focuses on periodic functions and their application in understanding climate change, specifically carbon dioxide levels over time. Students are required to analyze functions such as sin(x) and calculate properties including period and amplitude. The task involves interpreting data, making predictions based on periodicity, and understanding the implications for climate change. Resources include videos and additional learning materials that facilitate a deeper comprehension of quantitative environmental metrics.

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Understanding Periodic Functions and Climate Change Impact on CO2 Levels

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  1. Homework Pg. 359 - 1(a,c,d), 2, 3a, 4(a, d), 5, 8 Resources Quantitative Environmental Learning Project http://www.seattlecentral.edu/qelp/sets/078/078.html

  2. Focus time • No talking • No eye contact

  3. CO2 and Climate Change Periodic Functions Unit (Chp.5)

  4. Video

  5. Do you think we’ll save ourselves in time?

  6. Sin(x)

  7. Periodic Function A pattern of y-values that repeats at regular intervals

  8. Is this function periodic? NO! The y-values change over time

  9. Period The time it takes to complete a pattern

  10. period

  11. What’s the period of this function?

  12. What’s the period of this function?

  13. What’s the period of this function?

  14. ? What’s the period of this function? The period of this function is 2π

  15. Amplitude (A) From the middle of the graph to the peak

  16. A Method 1 Count from middle to peak A = 3 ppm

  17. max to min Method 2 Find max to min, then divide by 2 Max-to-min = 6 A = 6/2 = 3

  18. max to min What is the amplitude?

  19. 3 0.5 What is the amplitude?

  20. What is the amplitude? 3.5

  21. What is the amplitude? A = 1.75

  22. If f(1964) = 322.00 and the period of the function is 1 year, what is f(1965) = ?

  23. If f(1964) = 322.00 and the period of the function is 1 year, what is f(1965) = ? Since the pattern repeats exactly 1 year later, the level of carbon dioxide will be the same

  24. If f(3) = 3 and f(6) = 2 and the period for the function is 8 what is f(11) = ?

  25. Period = 8 If f(3) = 3 and f(6) = 2 and the period for the function is 8 what is f(11) = ?

  26. Pg. 361 #6 Distance (m) 50 40 30 20 10 1 2 3 4 5 6 7 Time (min)

  27. Pg. 361 #6 Distance (m) 50 40 30 20 10 1 2 3 4 5 6 7 Time (min)

  28. Pg. 361 #6 Distance (m) 50 40 30 20 10 1 2 3 4 5 6 7 Time (min)

  29. www.nss-gr11.wikispaces.com • Videos • Links • Powerpoint from class

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