Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Powers Roots and Radical Functions

9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

CBL™/CBL 2™
Sensor - Gas Pressure
TI Connectivity Cable
Vernier LabPro®

• ##### Other Materials
This is Activity 15 from the EXPLORATIONS Book: Real World Math Made Easy .

The following material is required for this activity:
• Syringe

## Under Pressure: The Inverse Relationship between Pressure and Volume

#### Activity Overview

In this activity, students' will use a pressure sensor to investigate the relationship between pressure and volume for an enclosed air sample, and fit an inverse function model to the pressure versus volume data.

#### Before the Activity

• Connect the pressure probe to Channel 1 on the CBL 2™ or Vernier LabPro® unit
• Connect the CBL 2 or LabPro to the calculator using the Unit-to-Unit cable
• See the attached PDF file for detailed instructions for this activity
• Print pages 145 - 153 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Prepare the pressure sensor and an air sample for data collection
• Attach the syringe to the pressure sensor
• Move the piston in the syringe and collect pressure data for different volumes of air in the syringe
• Examine the pressure versus volume graph
• Plot pressure versus inverse volume values and determine the modeling equation
• #### After the Activity

Students' will complete the Data Collection and Analysis Sheet and answer questions listed in it.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary