Are hybrid cars worth the extra cost? Many vehicles are available with both standard gas-powered engines or hybrids. While the hybrid models require less gas and are better for the environment, they may initially cost thousands of dollars more.
In this lesson, students use linear equations to compare the costs of driving a car with a standard engine versus a hybrid engine and debate whether new buyers should always go green
Write and solve equations to solve real-world questions
Compare proportional relationships represented in different forms including: tables, graphs, and equations
Before you begin
Some experience solving equations will be helpful but not required.
How much is Domino’s really charging for pizza? Students use slope, y-intercept, and linear equations to explore the costs of different-sized pizzas at Domino’s and debate whether the pizza chain should be more transparent in its pricing.
What should teacher salaries be based on? Students will use and compare linear functions to analyze how teacher pay is currently determined, and decide whether they would give merit-based pay an A+ or failing marks.
How is the homeless population changing around the country? Students write linear equations to model the homeless populations in New York City and Los Angeles and discuss what they can do to aid people experiencing homelessness in their communities.
How should Arlington National Cemetery plan for its future? Students write and solve linear equations to estimate when Arlington National Cemetery will reach capacity, evaluate various proposals to prolong its lifespan, and debate the best way for Arlington to honor soldiers and their families.
Expressions and Equations (EE), Functions (F)
How do municipal fines affect people with different incomes? Students write, solve, and graph systems of linear equations to determine how long it takes to pay off a ticket and debate the fairest ways for cities to raise revenues without harming their poorest residents.
Creating Equations (CED), Expressions and Equations (EE), Reasoning with Equations and Inequalities (REI), Functions (F)
Like the jacket, this lesson is for Members only.
Mathalicious lessons provide teachers with an opportunity to teach standards-based math through real-world topics that students care about.
How have video game consoles changed over time? Students create exponential models to predict the speed of video game processors over time, compare their predictions to observed speeds, and consider the consequences as digital simulations become increasingly lifelike.
Building Functions (BF), Interpreting Categorical and Quantitative Data (ID), Interpreting Functions (IF), Linear, Quadratic, and Exponential Models (LE), Seeing Structure in Expressions (SSE)