What’s the best size of disposable water bottle? Bottled water is one of the best-selling drinks on Earth. While disposable bottles offer a convenient way to stay hydrated, they also require a lot of plastic that can be harmful to the environment.
In this lesson, students use the volume and surface area of cylinders to compare disposable water bottles and consider environmentally-friendly ways to stay hydrated.
Use the formulas for volume of a cylinder and volume of a sphere to solve real-world problems.
Model with geometry.
Reason about the surface area of a real-world object. (No formulas required.)
Before you begin
Students will compare and discuss surface areas of cylinders, but they do not need prior experience with these formulas.
How do you increase the horsepower of a car engine? Students calculate the volumes of different car cylinders, and explore ways to make engine even more powerful by changing the dimensions of an engine's internal geometry.
Were megalodons godfathers of the sea? Students model the bodies of different sharks using cylinders, and explore how the volume of a cylinder changes when its dimensions change. They learn that the megalodon was a massive ocean beast, but that its size may ultimately have led to its downfall.
What’s the best strategy for cutting down trees? Students use cylinder volume to determine how the amount of wood in a tree changes as it grows and discuss how communities around the world can harvest (or not harvest) wood in a sustainable way.
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)