Lessons in Units

### Seeking Shelter

How is homelessness changing in the United States? Students write linear equations to describe how the number of people experiencing homelessness has changed in different cities and use their equations to predict how those populations will grow in the future.

Topic: Functions (F)

### Ad Vantage

How much of what we see is advertising? Students decompose irregular shapes to find how much of their visual field is occupied by advertising in real life and online.

Topic: Geometry (G)

### Fall of Javert

Could Inspector Javert have survived the fall? Students use quadratic models to determine how high the bridge was in Les Misérables, and explore the maximum height from which someone can safely jump.

Topic: Building Functions (BF), Creating Equations (CED), Interpreting Functions (IF)

### Downside Up

Is there an upside to negative feelings? Students use integers to compare good and bad days and use absolute value to explore what happens when we reinterpret negative moments in a more positive light.

Topic: Number System (NS)

### Common Cents

How much is money worth? Students apply operations on rational and decimal numbers to calculate how much the U.S. Mint spends on different coins, and discuss whether we really need all these coins.

Topic: Number System (NS)

### Pizza Pi (HS)

Which size pizza should you order? Students apply the area of a circle formula to write linear and quadratic formulas that measure how much of a pizza is actually pizza, and how much is crust.

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

### Out of Left Field

In which Major League Baseball stadium 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)

### On Your Mark

Do taller sprinters have an unfair advantage? Students use proportions to find out what would happen if Olympic races were organized by height.

Topic: Ratios and Proportional Relationships (RP)

### Three Shots

In basketball, should you ever foul at the buzzer? Students use probabilities to determine when the defense should foul...and when they should not.

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

### My Fellow Americans

Have presidential speeches gotten dumber? Students evaluate the Flesch-Kincaid formula with inputs from three different presidents and analyze the formula to predict how specific changes to a speech will impact its score.

Topic: Expressions and Equations (EE), Number System (NS)

### Ballot Boxing

How do the rules of an election affect who wins? Students calculate (as a percent) how much of the electoral and popular vote different presidential candidates have received, and add with integers to explore elections under possible alternative voting systems.

Topic: Number System (NS), Ratios and Proportional Relationships (RP), Reasoning with Equations and Inequalities (REI)

### Domino Effect

How much does Domino's charge for pizza? Students use linear functions — slope, y-intercept, and equations — to explore how much the famous pizzas really cost.

Topic: Expressions and Equations (EE), Functions (F)

### Licensed to Ill

Who should buy health insurance? Students use percents and expected value to explore the mathematics of health insurance from a variety of perspectives.

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