## Hot Air Vs. Helium: Hot Air Balloons (Math)

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### Introduction

This lesson helps the students calculate the amount of volume that they are going to need for their hot air balloon project and how to use a linear equation to do that. The "Finding Volume" lesson would then help the students to actually calculate the volume of their balloon to ensure that they have enough volume to lift any object that they need to lift. Once they know the volume they need and the volume of their balloon they can make any adjustments if needed.

In this lesson students will use data from both Hot Air Balloons and Helium Balloons to make a graph and find linear equations.

Our goal is to find out how much Hot Air/Helium it would take to lift the toaster from their CTE class.

In our closure we will discover how much Hot Air/Helium it would take to lift a normal size house.

I would do this math lesson before I do the lesson on finding volume of cylinders, cones and irregular objects.

1 Class Periods
1 Hour

### Industries / Subjects / Grades

##### Industries / Pathways
• Engineering & Architecture
• Engineering Technology
• Engineering Design
• Architectural Design
• Environmental Engineering
• Information and Communication Technologies
• Networking
##### K-12 Subjects
• Mathematics
• Algebra
• Statistics & Probability
• 9
• 10
• 11
• 12

### Standards and Objectives

#### Related Instructional Objectives (SWBAT...)

• Graphing both hot air balloon and helium balloon data.
• Use two points to find an equation.
• Compare volume and lifting force for both hot air and helium.
• Predict volume needed for both hot air and helium to lift any amount of weight.

or now!