Lessons in Units

### Leonardo Numbers

Are there numbers hidden in nature? Students use the Fibonacci Sequence and Golden Ratio to uncover the mathematical mysteries of the universe.

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

### Hi, BMI

What's a healthy weight? Students evaluate the Body Mass Index (BMI) formula for several celebrities, and discuss whether BMI is always a good measure of health.

Topic: Expressions and Equations (EE)

### Frame Rate

How do filmmakers create slow-motion and time-lapse videos? Students combine a camera's frame rate, a video player's frame rate, and proportional reasoning to explore movie magic.

Topic: Ratios and Proportional Relationships (RP)

### Carpe Donut

How much should people pay for donuts? Students use linear, rational, and piecewise functions to describe the total and average costs of an order at Carpe Donut.

Topic: Building Functions (BF), Interpreting Functions (IF)

### Cheese That Goes Crunch

Which is better: crunchy or puffy Cheetos? Students calculate the surface area : volume ratio for each snack to determine which one tastes cheesier.

Topic: Geometric Measurement and Dimension (GMD), Geometry (G), Modeling with Geometry (MG)

### Calories In, Calories Out

How many calories does a body burn? Students interpret and apply the formula for resting metabolic rate (RMR) in order to learn about how calories consumed from food, calories burned from exercise, and calories burned automatically contribute to a body's weight.

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

In basketball, which shot should you take? Students use probability and expected value to determine how much 3-point and 2-point shots are really "worth" to different NBA players.

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

### Are We Alone?

What are the chances that we'll communicate with aliens? Students use fraction multiplication to explore the Drake Equation, the formula astronomers use to estimate the number of intelligent civilizations with whom we might communicate.

Topic: Number and Operations -- Fractions (NF)

### New-Tritional Info

Should fast food restaurants rewrite their menus in terms of exercise? Students write and evaluate expressions to determine how long it takes to burn off foods from McDonald’s and debate the pros and cons of including this information on fast food menus.

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