Exploring Exponential Growth Through a Zombie Outbreak

In this video, Anthony from Mashup Math explores exponential growth through a zombie apocalypse scenario. The lesson covers how populations grow and decay exponentially, using graphs and equations to model these changes. The video demonstrates how quickly a zombie infection can spread, leading to a complete takeover of the human population. It also includes a calculation of how long it would take for the entire US population to become zombies, emphasizing the rapid nature of exponential growth. The lesson concludes with discussion questions and an invitation to engage with the content.

What initial populations are set for humans and zombies?

• 0 humans and 100 zombies

• 100 humans and 1 zombie

• 99 humans and 1 zombie

• 100 humans and 0 zombies

Tags

CCSS.HSF-LE.A.1C

What is the initial action that triggers the zombie population growth?

• A human becomes a zombie

• The zombies migrate

• A vaccine is found

• Humans defeat all zombies

What happens to the human population when one gets infected?

• It doubles

• It increases by one

• It remains the same

• It decreases by one

Tags

CCSS.HSF-LE.A.1C

What mathematical concept is used to model the zombie population growth?

• Quadratic equations

• Exponential functions

• Linear equations

• Logarithmic functions

At what point do the human and zombie populations equal each other?

• At the beginning of the outbreak

• When the zombie population stops growing

• When the human population reaches zero

• When the graph lines intersect

Tags

CCSS.8.EE.B.5

What does the intersection point on the graph indicate?

• The end of the zombie outbreak

• The start of the zombie outbreak

• Equal populations of humans and zombies

• The maximum number of zombies

Tags

CCSS.8.EE.B.5

What shape does the graph of an exponential growth equation resemble?

• A square

• A hockey stick

• A circle

• A straight line

Tags

CCSS.HSF-IF.C.7E

What does the 'a' value in an exponential growth equation need to be?

• Less than zero

• Equal to zero

• Equal to one

• Greater than zero

Tags

CCSS.HSF-IF.C.8B

How long would it take for the entire US population to become zombies?

• 3 years and 3 months

• 2 years and 6 months

• 4 years

• 5 years

Tags

CCSS.HSF.LE.A.4

What represents the time in the population growth formula?

• P sub zero

• P

• r

• T

Tags

CCSS.HSF-IF.C.7E