ALGII.2 Exponential Functions II

Intro Lesson

Aws4 request&x amz signedheaders=host&x amz signature=662e712918847c70824c57172e9a7c7664b61675df5935ddb67cdb68bd4bfaa0

Pandemic

Why hasn't everyone already died of a contagion? And, if vampires exist, shouldn't we all be sucking blood by now? Students model the exponential growth of a contagion and use logarithms and finite geometric series to determine the time needed for a disease to infect the entire population. They'll also informally prove that vampires can't be real.

Topic: Creating Equations (CED), Linear, Quadratic, and Exponential Models (LE), Seeing Structure in Expressions (SSE)

Middle Lessons

Aws4 request&x amz signedheaders=host&x amz signature=dff30f8c27cc6d1fed8386e85401d64d9d1f5634b710ee373c627dd95669229f

Pyramid of Sleaza

How can you make money in a pyramid scheme? Students learn about how pyramid schemes work (and how they fail), and use geometric sequences to model the exponential growth of a pyramid scheme over time.

Topic: Building Functions (BF), Linear, Quadratic, and Exponential Models (LE), Seeing Structure in Expressions (SSE)
Aws4 request&x amz signedheaders=host&x amz signature=ec9e077b564f25e8a0e4d47b8b8b7538d7f3ef5cd992bf131602167adef20442

XBOX Xponential

How have video game console speeds changed over time? Students write an exponential function based on the Atari 2600 and Moore's Law, and see whether the model was correct for subsequent video game consoles.

Topic: Building Functions (BF), Interpreting Categorical and Quantitative Data (ID), Interpreting Functions (IF), Linear, Quadratic, and Exponential Models (LE)

End Lesson

Aws4 request&x amz signedheaders=host&x amz signature=19981b087c9bf14e3162231f2d01c4d05c13af379be5fd57fe386d74f935f61d

Loan Ranger

How much do you really pay when you use a credit card? Students develop an exponential growth model to determine how much an item really ends up costing when purchased on credit.

Topic: Building Functions (BF), Creating Equations (CED), Linear, Quadratic, and Exponential Models (LE)