Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Linear Functions

9-12

60 Minutes

• ##### Device
• TI-73 Explorer™
• 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 3 from the EXPLORATIONS Book: Real World Math Made Easy.

The following materials are required for this activity :
• Water
• Paperclip
• Meter stick
• 1.2 m section of pipe
• 1.5 m clear plastic tubing
• Cap to close one end of tubing
• A weight to pull the tubing downward

## Pool Plunge: Linear Relationship Between Water Depth and Pressure

#### Activity Overview

In this activity, students will collect pressure readings at different depths in a water-filled pipe with the help of a pressure sensor. They will find a model this data and understand the relationship between depth and pressure.

#### Before the Activity

• Connect a pressure probe to Channel 1 on the CBL 2™ or LabPro®
• 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 19 - 25 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Attach one end of the plastic tubing to the sinker weight and the other to the pressure sensor
• Lower the weighted end into a vertical pipe filled with water and record pressure readings at various depths
• Examine the graph of pressure versus depth
• Calculate the slope and intercept information using any two data points and determine the equation of the line
• Do a linear regression on all the data points and determine the regression line equation
• Compare the two equations
• Interpret the slope and intercept of the linear model
• #### After the Activity

Students' will fill in the Student 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