Lessons in Units

### 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)

### Wage War

How much should companies pay their employees? Students graph and solve systems of linear equations in order to examine the effects of wage levels on labor and consumer markets, and they discuss the possible pros and cons of increasing the minimum wage.

Topic: Linear, Quadratic, and Exponential Models (LE), Reasoning with Equations and Inequalities (REI)

### 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)

### Cartogra-fail

What does Earth really look like? Students approximate the areas of different landmasses by decomposing them into triangles and rectangles. They do this for two different maps, and debate whether or not the map you use affects how you see — both literally and figuratively — the world.

Topic: Geometry (G)

### 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)

### New-Tritional Info

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.

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

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)

### XBOX Xponential

How have video game console speeds changed over time? Students write an exponential function based on the Atari 2600 and Moore's Law, and see whether the model was correct for subsequent video game consoles.

Topic: Building Functions (BF), Interpreting Categorical and Quantitative Data (ID), Interpreting Functions (IF), Linear, Quadratic, and Exponential Models (LE)

### 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)