Presentation is loading. Please wait.

Presentation is loading. Please wait.

Math 12. Real life Math What does “Exponential” mean?

Similar presentations


Presentation on theme: "Math 12. Real life Math What does “Exponential” mean?"— Presentation transcript:

1 Math 12

2 Real life Math

3 What does “Exponential” mean?

4  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 If your answer is yes! Should we really care about all the exponential changes which are happening all around us? Why? How?

6 Growth of World Population

7  “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  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. exponential curve of best fit.

9

10  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  Living Water Smart - to keep our water healthy and secure for the future  http://www.livingwatersmart.ca

12  comparing the intensities of earthquakes

13 DatePlaceMagnitude June 23,1946Near Campbell River 7.3 Aug 22, 1949 Queen Charlotte Islands 8.1 June 24, 1997 South Western BC 4.6

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  Why do earthquakes occur along the Canada’s west coast?  http://watch.ctv.c a/news/news/clip 307624#clip307624  How can you become prepared for the next earthquake?

16  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  http://www.coexist.es/en/exponential- growth.html http://www.coexist.es/en/exponential- growth.html  Wikipedia  Math 12 Text book


Download ppt "Math 12. Real life Math What does “Exponential” mean?"

Similar presentations


Ads by Google