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4/1 Alg1: Zombie Attack (Exponential growth exploration)

4/1 Alg1: Zombie Attack (Exponential growth exploration)

Assessment

Presentation

Mathematics

9th Grade

Practice Problem

Easy

Created by

Kourtney Kukowski

Used 24+ times

FREE Resource

11 Slides • 13 Questions

1

Zombie Attack!!!

Analyzing the spread of a virus.

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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.

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3

Poll

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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.

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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!

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6

Multiple Choice

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Strain A: How many people will be infected after 1 minute?

1

1

2

3

3

4

4

10

7

Multiple Choice

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Strain A: How many people will be infected after 2 minutes?

1

4

2

5

3

7

4

10

8

Multiple Choice

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Strain A: How many people will be infected after 3 minutes?

1

8

2

10

3

13

4

20

9

Multiple Choice

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Strain A: How many people will be infected after 10 minutes?

1

24

2

31

3

45

4

61

10

Strain A Conclusion

After 10 minutes, Strain A will have infected 31 people!

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11

Multiple Choice

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Strain B: How many people will be infected after 1 minute?

1

1

2

2

3

3

4

4

12

Multiple Choice

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Strain B: How many people will be infected after 2 minutes?

1

3

2

4

3

6

4

10

13

Multiple Choice

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Strain B: How many people will be infected after 3 minutes?

1

8

2

12

3

16

4

20

14

Multiple Choice

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Strain B: How many people will be infected after 10 minutes?

1

100

2

624

3

939

4

1024

15

Strain B Conclusion

After 10 minutes, Strain A will have infected 1,024 people!

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16

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

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Which strain is represented by this graph?

1

Strain A: Each minute, the original zombie infects 3 new people, but the new zombies cannot infect new people.

2

Strain B: Each minute, every zombie infects a new person. New zombies are able to infect new people.

18

Multiple Choice

Question image

Which strain is represented by this graph?

1

Strain A: Each minute, the original zombie infects 3 new people, but the new zombies cannot infect new people.

2

Strain B: Each minute, every zombie infects a new person. New zombies are able to infect new people.

19

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20

Multiple Choice

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Do you have your final answer? Which strain will create more zombies after 10 minutes?

1

Strain A

2

Strain B

21

Why does this matter?

Why is exponential growth relevant?

22

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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

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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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