Bacteria Bloom Graphic Organizer
Bacteria Bloom Graphic Organizer
Exponential Growth & Powers Problem-Solving Model
Name:
Date:
Scenario
Alex is organizing a science fair and needs to prepare a display showing how bacteria can grow exponentially. He starts with a petri dish containing \(2^3\) bacteria. Each hour, the number of bacteria doubles. How many bacteria will be in the petri dish after 5 hours? Explain how you know.
Step 1: Unpack the Problem Data
Starting Value (Hour 0):
Evaluate \(2^3\):
Growth Rate per Hour:
Operation applied each hour:
Target Duration:
Total elapsed time to calculate:
Step 2: Track Growth Over Time
Complete each row through Hour 5
| Time Elapsed | Calculation / Process | Exponential Form | Total Bacteria Count |
|---|
| 0 Hours (Start) | | | |
| 1 Hour | | | |
| 2 Hours | | | |
| 3 Hours | | | |
| 4 Hours | | | |
| 5 Hours (Goal) | | | |
Step 3: Analyze the Mathematical Structure
Product of Powers Rule Method
Express initial bacteria multiplied by doubling for 5 hours: \(2^3 \times 2^5\)
Repeated Multiplication Method
Show repeated doubling starting from initial quantity (\(8 \times 2 \times 2 \dots\)):
Step 4: Final Solution & Explanation
After 5 hours: bacteria
Explain how you know your answer is correct. Connect the starting value, the rate of change, and the exponent rules or table patterns:
