Lessons in Units

CCSS UnitsWhen you buy a bigger TV, how much more do you really get? Students use the Pythagorean Theorem and proportional reasoning to investigate the relationship between the diagonal length, aspect ratio, and screen area of a TV.

How much of your life do you spend doing different activities? Students use proportional reasoning and unit rates to calculate how much of their total lifespan they can expect to spend sleeping, eating, and working...and discuss how they'd like to spend the time that's left over.

How dangerous is texting and driving? Students use proportional reasoning to determine how far a car travels in the time it takes to send a message, and explore the consequences of distracted driving.

What is the likelihood of winning at roulette? Students use probabilities and odds to examine the betting and gameplay of roulette, including where the infamous house edge comes from.

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.

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

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.

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

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.

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.

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.

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.

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.

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

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.