Lessons in Units

CCSS Units
Aws4 request&x amz signedheaders=host&x amz signature=59427ec2c25d6d1df872a25f19d81979d03cf11082392feafcae55d310a4803e

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)
Aws4 request&x amz signedheaders=host&x amz signature=24e0a58ee7ae6287b9b0794f3f5878144433aebf6489faa0b443e7b90af8ddb2

Pair-Alysis

How many different shoes can you design on NIKEiD? Students use the Fundamental Counting Principle to calculate how many color combinations are possible for the popular Nike Free Run running shoe, and also explore the "paralysis-by-analysis" that can come from too much choice.

Topic: Statistics and Probability (SP)
Aws4 request&x amz signedheaders=host&x amz signature=9d5252dd89f8c0777def3c92f24e9b414b5fa3e509d6ef7656c348705b51eaf5

Not So Fast

How should speeding tickets be calculated? Students use linear equations to explore how police officers determine speeding fines...and whether tickets are calculated fairly.

Topic: Functions (F)
Aws4 request&x amz signedheaders=host&x amz signature=c2b20c7a0b5e20f71415aa66a6af515f86e91ec285ea4ffe71a8ec21398ef61b

New Twenty

How does life expectancy affect how you live your life? Students use proportions to determine what life expectancy must have been in the past in order for the phrase "30 is the new 20" to be accurate, and explore how life might change as life expectancy changes.

Topic: Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=08707a224a5248448aa1cf37a2d9222d6effae2a6aeccc21ffa0b67d37de15f9

Leonardo Numbers

Are there numbers hidden in nature? Students use the Fibonacci Sequence and Golden Ratio to uncover the mathematical mysteries of the universe.

Topic: Ratios and Proportional Relationships (RP), Statistics and Probability (SP)
Aws4 request&x amz signedheaders=host&x amz signature=3f9834d6950a2334845157422bf62716d8915513a7ec8a4acb3a95cf946e8b76

Jen Ratio

How does the media affect our happiness? Students explore the concept of the jen ratio – the ratio of positive to negative observations in our daily lives – and use it to discuss how the media influences our experience of the world.

Topic: Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=0f28fd525ceb8075cb87dbe3a9bcc9a6337bd4fe5df2f336e502fa1ae527564c

I Remember

How much can you trust your memory? Students construct and compare linear and exponential models to explore how much a memory degrades each time it's remembered.

Topic: Interpreting Functions (IF), Linear, Quadratic, and Exponential Models (LE)
Aws4 request&x amz signedheaders=host&x amz signature=6c66d04473a1bd908b96d1317af8eab42b29e87a46ec81789bbb674c541fa588

Hi, BMI

What's a healthy weight? Students evaluate the Body Mass Index (BMI) formula for several celebrities, and discuss whether BMI is always a good measure of health.

Topic: Expressions and Equations (EE)
Aws4 request&x amz signedheaders=host&x amz signature=0cb226a0d12d28fa8e5f6247dda4b82d6c28e9972ec9c54cb0b55c9b46a613a4

Frame Rate

How do filmmakers create slow-motion and time-lapse videos? Students combine a camera's frame rate, a video player's frame rate, and proportional reasoning to explore movie magic.

Topic: Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=6f5c236442ebcee1b17a7ec81f0d2e38a2799f728cf9397e98a59b81ea33ce6c

Carpe Donut

How much should people pay for donuts? Students use linear, rational, and piecewise functions to describe the total and average costs of an order at Carpe Donut.

Topic: Building Functions (BF), Interpreting Functions (IF)
Aws4 request&x amz signedheaders=host&x amz signature=5096dd06f8a183a9deca0d9f6e12e05d520edc9d2de962d7525446b3432ec475

Connected

Do social networks like Facebook make us more connected? Students create a quadratic function to model the number of possible connections as a network grows, and consider the consequences of relying on Facebook for news and information.

Topic: Building Functions (BF), Creating Equations (CED), Interpreting Functions (IF)
Aws4 request&x amz signedheaders=host&x amz signature=eab3040969b8ad41935adb303d0ed39a4e262c8bc0f60b19c746980e220f22bd

Civic Duty

Is it worth paying extra for a hybrid car? Students use proportional reasoning to determine how much hybrid owners save on gas, and how long it will take to make up the price difference.

Topic: Expressions and Equations (EE), Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=7d29385adb113ae487a1b03168f0cb268a69451699a86ef6191e417ee7484a60

Cheese That Goes Crunch

Which is better: crunchy or puffy Cheetos? Students calculate the surface area : volume ratio for each snack to determine which one tastes cheesier.

Topic: Geometric Measurement and Dimension (GMD), Geometry (G), Modeling with Geometry (MG)
Aws4 request&x amz signedheaders=host&x amz signature=4209a10b82e025eef5f09dba8dc0c68c5b19efa5f5139afa2cc587d9058ec708

Calories In, Calories Out

How many calories does a body burn? Students interpret and apply the formula for resting metabolic rate (RMR) in order to learn about how calories consumed from food, calories burned from exercise, and calories burned automatically contribute to a body's weight.

Topic: Expressions and Equations (EE), Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=ddf6d17d8ad7e66a35463e9e8652c431f6bf0b8ca59f8925f9314ea965575d01

Basketball IQ

In basketball, which shot should you take? Students use probability and expected value to determine how much 3-point and 2-point shots are really "worth" to different NBA players.

Topic: Conditional Probability and the Rules of Probability (CP)