HSIII.1 Exponential Functions II (A6)

Beginning Lesson

Aws4 request&x amz signedheaders=host&x amz signature=c9b85dfba4dafc5529e5398a941ce9db5c93a211af58908ad6f2798ee4942b1b

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=66ae83d5f143a4fae5dc7cf9eec4a34aadd5de76feb54886ac0515b30d5dd018

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=5b812c73feea8a61a67c97933190d14027dd2b98a1980303aad0bb8250b805a0

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=ec3af48d33200a51ddb786e7e907368b6fba5aa56b0227c86da01502eea80c5d

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)