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Driving Question

When should NFL teams go for it on fourth down? Students use quadratic functions to develop a model of expected points. They then apply this model to determine when teams should punt the ball, and more importantly, when they shouldn’t.

Topic: Building Functions (BF), Interpreting Functions (IF), Using Probability to Make Decisions (MD)
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What's the best way to position a car's mirrors? Students use reflections and congruent angles to determine the best orientation for rear- and side-view mirrors, and learn how to correct those dangerous blind spots.

Topic: Geometry (G)
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Green Acres

How has the urban population changed over time, and will we all eventually live in cities? Students use recursive rules along with linear and exponential models to explore how America's urban areas have been growing over the last 200 years.

Topic: Interpreting Functions (IF), Linear, Quadratic, and Exponential Models (LE), Reasoning with Equations and Inequalities (REI)
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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)
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Spinning Your Wheels

Why do tires appear to spin backwards in some car commercials? Students apply unit rates and the formula for the circumference of a circle to determine what makes a spinning wheel sometimes look like it’s moving in the opposite direction of the car sitting on top of it.

Topic: Geometry (G), Ratios and Proportional Relationships (RP)
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Pounding Headache

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)
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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)
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About Time

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)
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Coupon Clipping

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

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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)
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When is it worth buying a Powerball ticket? Students count combinations and apply basic rules of probability and expected value to determine when the Powerball jackpot is large enough to justify the cost of playing the game.

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

How much should people pay for cable? Students interpret scatterplots and calculate the costs and revenues for consumers and providers under both the bundled and à la carte pricing schemes to determine which would be better for U.S. companies and customers.

Topic: Number System (NS), Ratios and Proportional Relationships (RP)
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It's a Trap!

How accurate are police speed guns? Students use rates and the Pythagorean Theorem to examine the accuracy of LiDAR guns used to catch speeding drivers.

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