Lessons in Units

CCSS UnitsHow should cities address excessive force by police? Students compare two distributions of complaints against police officers. They analyze the fraction of complaints that officers are responsible for and evaluate the effectiveness of policy proposals in each scenario.

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.

Have income distributions in the U.S. improved over time? Students compare percentages of total income earned by different subgroups of the working population and decide whether or not the “American Dream” is equally achievable by all Americans.

What's the best way to bet on the Super Bowl? Students add and subtract positive and negative numbers to determine which bets have been the most effective and consider the best ways to win big on the big game.

Which crops should farmers grow? Students use linear relationships and proportional reasoning to explore comparative advantage and the risks and benefits of trade.

How do vehicles turn? In this lesson, students use the geometry of circles to understand how we get from point A to point B when the path isn’t a straight one.

How should pharmaceutical companies decide what to develop? In this lesson, students use linear and quadratic functions to explore how much pharmaceutical companies expect to make from different drugs, and discuss ways to incentivize companies to develop medications that are more valuable to society.

How long does it take to pay off municipal fines? Students use linear equations and solve linear systems to examine what happens when people are unable to pay small municipal fines. They also discuss what can happen to the most financially vulnerable citizens when cities rely heavily on fines for revenue.

How were free states and slave states represented in Congress? In this lesson, students use census data and fraction multiplication to explore the effects of the Three-Fifths Compromise on the balance of power between free and slave states in early America.

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.

How do noise-canceling headphones work? In this lesson, students use transformations of trigonometric functions to explore how sound waves can interfere with one another, and how noise-canceling headphones use incoming sounds to figure out how to produce that sweet, sweet silence.

How should grades be calculated? Students use averages and weighted means to examine some different grading schemes and decide what other factors ought to be considered when teachers assign grades.

How can we compare similar items? Students plot points with positive and negative coordinates in order to compare items across two different attributes. They use the plots to decide which item is the “best” in different scenarios, and discuss whether or not negative numbers always represent the “opposite” of positive numbers.

What transformations do smartphones use? In this lesson, students identify and categorize the different transformations that occur when a user manipulates a smartphone screen. They also use on-screen coordinates to calculate the results of zooming within an application and to decide whether ponying up for a larger screen is worth it.

How have temperatures changed around the world? Students use trigonometric functions to model annual temperature changes at different locations around the globe and explore how the climate has changed in various cities over time.