Exponential+Functions



Wednesday June 14

Tuesday June 13

Monday June 12

Tuesday June 6th Homework: Page 285 - 286 Qs: #1 a c d, #2 a d, #3 a b d, #5 a b c d Monday June 5th:

First: Paper folding activity. Take a piece of paper do not fold it (0 folds). How many squares do you have? Now fold it in half (1 fold total). How many 'squares' have you made? Now fold it in half again (2 folds total). How many 'squares' do you have? Now fold it in half again (3 folds total). How many 'squares' do you have? Keep going....

What you have just modelled, is exponential growth.

Today we will look at human population growth. It is one example of an exponential growth curve.

You can see by the graphs below that our population began growing very slowly, starting with our early ancestors, the first Homo sapiens, 100 000 years ago, but over generations the growth rate has increased more and more rapidly, like to a snowball affect. It took the human population thousands of years to reach 1 billion in 1804. However, it took only 123 years for us to double to 2 billion by 1927. The population hit 4 billion in 1974 (only 47 years), and if we continue at our current rate, the human population will reach 8 billion around the year 2028. Currently, our population is about 7 billion.



You can go to the link to see a real-time population clock:

http://www.worldometers.info/world-population/

Hmmm, think about it (see if you can answer the questions about our population growth, then go through the NOVA presentation linked below, to see if you were correct). Screen reader users, click on "printable version", print users should "Launch Interactive"...but try to answer the questions by yourself first.

Nova Link:
http://www.pbs.org/wgbh/nova/earth/global-population-growth.html

Questions:
1. In the 1300's, the world population dipped. What do you think happened at this time to cause the decrease? (hint, it happened in Europe).

2. In the 1800's the population began to increase quite rapidly, why do you think this was so?

3. What discovery happened in the 1950's to cause the population growth to increase even more rapidly?

4. Do you think our population will keep increasing exponentially? Why or why not?

Thursday May 8: Exponential Functions Test Wednesday May 7: Reveiw

Tuesday May 6: Some more real-life examples Monday May 5:

Friday May 4: Finish textbook questions

Wednesday May 2 & Thursday May 3:

Take home quiz Due Monday April 30 **mistake on question 3a...should be 32 exp 4/5 NOT 32 exp 1/4

Tuesday May 1: Finish paper folding activity and text book questions Monday April 30th: Half Life Dice activity and paper folding analysis pg 305-307

Wednesday April 25 & Thursday April 26: Drama Day Tuesday April 24th: Half Life Dice activity and paper folding analysis pg 305-307

Monday April 23rd: review exponent rules, work on fraction exponent questions Thursday April 19th:

Wednesday April 18th: work period

Tuesday April 17th: Monday April 16th: Wednesday April 12th: Finish human population activity

Monday June 5th: First: Paper folding activity. Take a piece of paper do not fold it (0 folds). How many squares do you have? Now fold it in half (1 fold total). How many 'squares' have you made? Now fold it in half again (2 folds total). How many 'squares' do you have? Now fold it in half again (3 folds total). How many 'squares' do you have? Keep going....

What you have just modelled, is exponential growth.

Today we will look at human population growth. It is one example of an exponential growth curve.

You can see by the graphs below that our population began growing very slowly, starting with our early ancestors, the first Homo sapiens, 100 000 years ago, but over generations the growth rate has increased more and more rapidly, like to a snowball affect. It took the human population thousands of years to reach 1 billion in 1804. However, it took only 123 years for us to double to 2 billion by 1927. The population hit 4 billion in 1974 (only 47 years), and if we continue at our current rate, the human population will reach 8 billion around the year 2028. Currently, our population is about 7 billion.

You can go to the link to see a real-time population clock: http://www.worldometers.info/world-population/

Hmmm, think about it (see if you can answer the questions about our population growth, then go through the NOVA presentation linked below, to see if you were correct). Screen reader users, click on "printable version", print users should "Launch Interactive"...but try to answer the questions by yourself first.

Nova Link:
http://www.pbs.org/wgbh/nova/earth/global-population-growth.html

Questions:
1. In the 1300's, the world population dipped. What do you think happened at this time to cause the decrease? (hint, it happened in Europe). 2. In the 1800's the population began to increase quite rapidly, why do you think this was so? 3. What discovery happened in the 1950's to cause the population growth to increase even more rapidly? 4. Do you think our population will keep increasing exponentially? Why or why not?