Babies Everywhere!

Act 1

Exponents are really important in our everyday life. For example, did you know that exponents are used in Computer Game Physics, pH and Richter Measuring Scales, Science, Engineering, Economics, Accounting, Finance, and many other disciplines?

Info &Photo Credit: http://passyworldofmathematics.com/exponents-in-the-real-world/

Look at the information above. Let's learn how to use exponents to calculate population increase.

Assume the "One Person" is Generation 0. That would mean Generation 1 would be 4 children...like so:

Can you find out how many children would exist in the following generations?

Reveal/Sequel

Go over answers students got an methods they used to get those answers.
The following formula can be used to calculate the number of children for any generation. Use it to fill in the generation table from above

NUMBER OF CHILDREN^Generation

3. Of all the methods presented, which did you like best and why?

4. Using the method above answer the following questions:

How many great, great, great, great, great, great grandchildren would the person from generation 0 have?
What if each child had 5 children instead of 4? How many great, great grandchildren would the person in generation 0 have this time?

Classwork

Determine which of the following sequences has an exponential pattern. If you find an exponential pattern, state what it is. If the pattern is NOT exponential, state why
Look at the chart below...

Can you figure out the 7th term using the 6th term? Tell how you would do this and solve.
Can you figure out the 7th term without using the 6th term? Tell how you would do this and solve
OPTIONAL: Write a general rule to find the nth term in the sequence.

3. Look at the chart below...

Write down the 5th and 6th term in Index form
I say the 10th term is over 30. Do you agree? Why or why not!? Explain your answer without solving
Now solve for the 10th term. Does your answer from above change?
OPTIONAL: Write a general rule for the nth term

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