How does two people's love for one another change over time? Students investigate the effect of coefficients on recursive functions, and explore whether or not romance can be modeled with mathematics.

My love as deep; the more I give to thee,

The more I have, for both are infinite.

Juliet's feelings only cause Romeo to feel even stronger for her, and this feedback loop of strong emotion, as we all know, does not end well. But with a bit of mathematics, could anyone have predicted their fate?

How does two people's love for one another change over time? Students investigate the effect of coefficients on recursive functions, and explore whether or not romance can be modeled with mathematics.

How many people should you date before you settle down? Students use modeling with probability distributions to come up with a rule to try to maximize their relationship happiness.

How much should theaters charge for movie tickets? Students figure out how much money theaters could make by charging different ticket prices, and come up with strategies theaters could u

How has the length of popular movies changed over time? Students use scatterplots to examine linear and nonlinear patterns in data and make predictions about the future.

What are the odds of creating the best March Madness bracket? Students use probability to discover that it’s basically impossible to correctly predict every game in the tournament. Nevertheless, that doesn’t stop people from trying.

How much confidence should you place in online ratings? Students use ratios and averages to explore the different ways products can be rated online.

How can we improve our calendar? Students examine some other ways to keep track of dates, and use number sense and function concepts to convert among different calendars.

Can you predict a country's Winter Olympic performance? Students analyze scatterplots and correlation coefficients to pick out the best predictive model for Olympic success.

What are some ways to encrypt secret messages? Students use ciphers to encrypt messages both graphically and algebraically, and try to decrypt some messages too. In the end, they’ll learn what makes for a useful cipher, and what makes a cipher impossible to decode.

How fast does hair grow? Students analyze a scatter plot, create a line of best fit, and interpret slope as the rate of hair growth over time.

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.

How long does it take to burn off food from McDonald's? Students use unit rates and proportional reasoning to determine how long they'd have to exercise to burn off different McDonald's menu items.

How symmetrical are faces? Students apply their understanding of line reflections to develop a metric for facial symmetry.

How has the iPod depreciated over time? Students will compare linear and exponential decay, explore how various products have depreciated, and what might account for the differences.

How hard should you exercise? Students write and graph an equation for maximum heart rate in terms of age, and then calculate ideal heart rate zones for different types of workouts.