HSIII.1 Exponential Functions II (A6)

Beginning Lesson

Aws4 request&x amz signedheaders=host&x amz signature=10c97ce7e7913e4acec74fd6b3895ceef4c1e84fc88fc9bd0df56b70862cd7d0

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=eeb56fdd46de50a3a193b9aee8d06c2d17a5e56820e9db06a0e6dfe5ceed9879

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=87aba1f1b6eea4465d87b847f2df9f6d1ab3af6d4ba6f43f94ce0c000eccf787

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=18c0a267c31b4a5b44916be66823e555dc6e3ac3de81ab9272a22ac47ae2344f

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)