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Exponential Function

Exponential Function . Math 12 . Enriching Mathematics instruction. Real life Math. Big Idea – Entry Questions. What does “Exponential” mean?. Group Activity. What examples of local and global “Exponential Growth” do you know?

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Exponential Function

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  1. Exponential Function Math 12

  2. Enriching Mathematics instruction Real life Math

  3. Big Idea – Entry Questions What does “Exponential” mean?

  4. Group Activity • What examples of local and global “Exponential Growth” do you know? • Here are a few other things that grow exponentially:• World population• Oil consumption / Energy usage• Global water consumption• Debt• Species extinction • Global warming • Growth of atmospheric carbon dioxide

  5. Think Globally, Act Locally Should we really care about all the exponential changes which are happening all around us? If your answer is yes! Why? How?

  6. Lets look at an example: Growth of World Population

  7. World population: • “The rapid increase in human population over the course of the 20th century has raised concerns about whether Earth is experiencing overpopulation. The scientific consensus is that the current population expansion and accompanying increase in usage of resources are linked to threats to the ecosystem, such as rising levels of atmospheric carbon dioxide, global warming, and pollution.” (http://en.wikipedia.org/wiki/Population_growth)

  8. Where did different exponential equations come from? • In some applications of exponential functions, there is an underlying principle from which the equation is derived. • In other applications, the equation is found using empirical data. The equations are determined by calculating the equation of the exponential curve of best fit.

  9. Growth of britishcolumbia ‘s population:

  10. British Columbia's population growth • trace to estimate the population in 2011 • Trace to estimate when the population might reach 6 million • what are the effects of a growing population in British Columbia: • An Example: Increased pressure on water resources

  11. Take action ! • Living Water Smart - to keep our water healthy and secure for the future • http://www.livingwatersmart.ca

  12. The Richter Scale: • comparing the intensities of earthquakes

  13. Some earthquakes in BC

  14. How many times as intense was: • The 1964 earthquake compared to the 1997? • The 1949 earthquake as the 1997 earthquake? • The 1949 earthquake as the 1946 earthquake?

  15. Take Action! • Why do earthquakes occur along the Canada’s west coast? • http://watch.ctv.ca/news/news/clip307624#clip307624 • How can you become prepared for the next earthquake?

  16. Radioactive decay • Chernobyl (April 1986) • Iodine-131 (half-life of 8.1 days) • Caesium-137 (half-life of 30 years).

  17. Understanding exponential functions helps us understand phenomena in our environment • For example, population growth leads to an increase in pollution, and extra pressure on resources – we need to start planning for these things now, and having an understanding of what the population will be in the future is essential for that

  18. “The greatest shortcoming of the human race is the inability to understand the exponential function.” Dr. Bartlett, professor of Physics.

  19. References: • http://www.coexist.es/en/exponential-growth.html • Wikipedia • Math 12 Text book

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