
4/1 Alg1: Zombie Attack (Exponential growth exploration)
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Easy
Kourtney Kukowski
Used 24+ times
FREE Resource
11 Slides • 13 Questions
1
Zombie Attack!!!
Analyzing the spread of a virus.
2
2 strains of Zombie virus strains have been discovered in the US! The strains are described below:
Strain A: Each minute, the original zombie infects 3 new people, but the new zombies cannot infect new people.
Strain B: Each minute, every zombie infects a new person. New zombies are able to infect new people.
3
Poll
Make a prediction: Which strain will create more zombies after 10 minutes?
Strain A
Strain B
4
Let's draw some visuals to get a better idea here.
5
Let's try and create a table of values
We will create one for each strain, and it will tell us how many people are infected every minute!
6
Multiple Choice
Strain A: How many people will be infected after 1 minute?
1
3
4
10
7
Multiple Choice
Strain A: How many people will be infected after 2 minutes?
4
5
7
10
8
Multiple Choice
Strain A: How many people will be infected after 3 minutes?
8
10
13
20
9
Multiple Choice
Strain A: How many people will be infected after 10 minutes?
24
31
45
61
10
Strain A Conclusion
After 10 minutes, Strain A will have infected 31 people!
11
Multiple Choice
Strain B: How many people will be infected after 1 minute?
1
2
3
4
12
Multiple Choice
Strain B: How many people will be infected after 2 minutes?
3
4
6
10
13
Multiple Choice
Strain B: How many people will be infected after 3 minutes?
8
12
16
20
14
Multiple Choice
Strain B: How many people will be infected after 10 minutes?
100
624
939
1024
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Strain B Conclusion
After 10 minutes, Strain A will have infected 1,024 people!
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By now, it's pretty clear which strain is infecting people at a faster rate
What would the graphs of these functions look like?
17
Multiple Choice
Which strain is represented by this graph?
Strain A: Each minute, the original zombie infects 3 new people, but the new zombies cannot infect new people.
Strain B: Each minute, every zombie infects a new person. New zombies are able to infect new people.
18
Multiple Choice
Which strain is represented by this graph?
Strain A: Each minute, the original zombie infects 3 new people, but the new zombies cannot infect new people.
Strain B: Each minute, every zombie infects a new person. New zombies are able to infect new people.
19
20
Multiple Choice
Do you have your final answer? Which strain will create more zombies after 10 minutes?
Strain A
Strain B
21
Why does this matter?
Why is exponential growth relevant?
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Exponential growth of a virus can be scary in real life! We all know that feeling...
23
Poll
Please rate your current state of understanding of the learning target:
I can examine the difference between linear growth and exponential growth.
4 - I can teach it!
3 - I understand it.
2 - I'm getting there.
1 - I don't un
24
Great work today! Move to Google Classroom and complete your exit ticket. Have a great Thursday :)
Zombie Attack!!!
Analyzing the spread of a virus.
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