### Siren Song

Does the same sound always sound the same? Students come up with equations in several variables to explore the Doppler Effect, which explains how sound from a moving object gets distorted.

Topic: Creating Equations (CED)

How much Tylenol can you safely take? Students use exponential functions and logarithms to explore the risks of acetaminophen toxicity, and discuss what they think drug manufacturers should do to make sure people use their products safely.

Topic: Building Functions (BF), Interpreting Functions (IF), Linear, Quadratic, and Exponential Models (LE), Seeing Structure in Expressions (SSE)

### Out Of Left Field

In which MLB ballpark is it hardest to hit a home run? Students find the roots and maxima of quadratic functions to model the trajectory of a potential home-run ball.

Topic: Creating Equations (CED), Interpreting Functions (IF), Reasoning with Equations and Inequalities (REI)

How has the pace of technology changed over time? Students explore timelines of important technological milestones, and calculate the time between major events using absolute value and operations on integers.

Topic: Number System (NS)

### Coupon Clipping

Are coupons a good deal? Students use unit rates and percents to explore the math and psychology behind retail discounts.

Topic:

### Sharper Image

Should you buy a camera lens with vibration reduction? Students interpret graphs and use right triangle trigonometry to explore the relationship between focal length, viewing angle, and blurriness.

Topic: Creating Equations (CED), Seeing Structure in Expressions (SSE), Similarity, Right Triangles, and Trigonometry (SRT)

### Oddsballs

Everyone knows that winning the lottery is really, really unlikely. But sometimes those Powerball jackpots get really, really huge. So tempting! Is there a jackpot amount that makes the \$2 ticket worth the risk?

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

### Bundle Up

When you subscribe to cable TV, you get access to literally hundreds of channels. But all that choice comes with a cost, and cable bills only seem to be increasing over time. So is it worth subscribing to cable, and what would happen if consumers could choose to pay only for certain channels?

Topic: Number System (NS), Ratios and Proportional Relationships (RP)

### It's a Trap!

Catching speeding drivers is easy with modern technology. Police officers can stand at the side of the road and use a laser gun to instantly measure the speed of a moving car. But how, exactly do these speed guns work?

Topic: Expressions and Equations (EE), Geometry (G), Ratios and Proportional Relationships (RP)

### Win At Any Cost?

How should sports teams spend their money to win more games? Students look at data for four major pro sports leagues to find out whether it's possible to buy wins.

Topic: Interpreting Categorical and Quantitative Data (ID)

### Romeo & Juliet

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.

Topic: Interpreting Functions (IF), Seeing Structure in Expressions (SSE)

### The Waiting Game

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.

Topic: Conditional Probability and the Rules of Probability (CP), Making Inferences and Justifying Conclusions (IC)

### Sell Out

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

Topic: Geometry (G)

### The Reel Deal

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.

Topic: Statistics and Probability (SP)

### Bracketology

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.

Topic: Conditional Probability and the Rules of Probability (CP), Creating Equations (CED), Linear, Quadratic, and Exponential Models (LE)