1. Warm Up
What kinds of functions (and graphs) have we been looking at or talking about so far?

2. 5.1.1 Representing Exponential Growth
HW: 5-6,7,8,10,12
November 5, 2018
Participation Quiz

3. Objectives
CO: SWBAT represent exponential growth using a diagram, a table, and a graph.
LO: SWBAT write descriptions of exponential growth based on the patterns in their tables, recognize patterns of exponential growth, and use their descriptions to make predictions.

4. 5-1. MULTIPLYING LIKE BUNNIES
In the book Of Mice and Men by John Steinbeck, two good friends named Lennie and George dream of raising rabbits and living off the land.  What if their dream came true?  
Suppose Lennie and George started with two rabbits and during the first month those rabbits have two babies.  Also suppose that every month thereafter, each pair of rabbits has two babies.
Your Task: With your team:
Determine how many rabbits Lennie and George would have after one year (12 months).
Represent this situation with a written description of the pattern of growth, a diagram, and a table.  
State the assumptions you made when you modeled the number of rabbits raised. 
Compare any patterns you find to other patterns that you have investigated previously. 
All pencils and calculators are set aside.
Students read the problem or question.
Give students individual think/work time.
Teams discuss the problem for clarity.
Possible strategies are shared.
Teacher gives okay for pencils to be picked up and written work to begin.
Teammates Consult

5. 5-2. How can you determine the number of rabbits that will exist at the end of one year?  Consider this question as you work through the problems below.
Draw a diagram to represent how the total number of rabbits is growing each month.  How many rabbits will Lennie and George have after three months?  SHARE after 5 mins
As the number of rabbits increases, a diagram becomes too cumbersome to be useful.  A table might work better.  Organize your information in a table showing the total number of rabbits for the first several months (at least six months).  What patterns can you find in your table?  Describe the pattern of growth in words.
If you have not done so already, use your pattern to determine the number of rabbits that Lennie and George would have after one year (12 months) has passed. 
How does the growth pattern in the table that you created compare to growth patterns that you have investigated previously?  How is it similar and how is it different? 
Months
Rabbits 2 1 3 4 5 6 7 8 9 10 11 12 4 8 16 32 64
128
256
512
1024
2048
4096
8192
Math theatre instead of drawing diagram? Kids come up for month zero and one then use pictures of bunnies for the next month

6. Months
Rabbits
Pattern
Simplified Pattern 2 1 4 8 3 16 32 5 64 6
128 7
256
512 9
1024 10
2048 11
4096 12
8192 2
2•2
2•2•2
2•2•2•2
2•2•2•2•2
2•2•2•2•2•2
2•2•2•2•2•2•2
2•2•2•2•2•2•2•2
2•2•2•2•2•2•2•2•2
2•2•2•2•2•2•2•2•2•2
2•2•2•2•2•2•2•2•2•2•2
2•2•2•2•2•2•2•2•2•2•2•2
2•2•2•2•2•2•2•2•2•2•2•2•2 2
2•21
2•22
2•23
2•24
2•25
2•26
2•27
2•28
2•29
2•210
2•211
2•212