Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Data Analysis
• Math: Geometry: Surface Area and Volume
• Math: Middle Grades Math: Statistics and Probability
• Math: PreAlgebra: Probability, Statistics and Data Analysis
• Science: Life Science: Human Body

6-8

45 Minutes

• ##### Device
• TI-73 Explorer™
• TI-Navigator™

TI Connect™

• ##### Accessories

CBL™/CBL 2™
Sensor - Temperature
TI Connectivity Cable

• ##### Other Materials
This is Adventure 6 from the EXPLORATIONS Book:
Adventures in Data Collection with TI-73 Explorer™.

The following materials are required for this activity:
• Large beaker or container
• 2 surgical gloves
• Water (ice water and warm water)

## Animal Skin - Adventure 6

#### Activity Overview

In this adventure, students make two models to simulate the cooling rate of different skin surface areas and determine the effect of skin surface area on the results. Students graph temperature as a function of time, interpret, and analyze graphs of data collected. Students also understand slope and rate of change.

#### Before the Activity

• Connect CBL 2 to the calculator.
• Launch the DATAMATE program
• Plug the TI temperature sensor into Channel 1 (CH 1) on the CBL 2
• Tie off the fingers of one glove
• See the attached PDF file for detailed instructions for this activity
• Print pages 41 - 42 from the attached PDF file for your class
• Transfer files to student calculators using TI-Navigator™ "send to class" feature

#### During the Activity

Distribute the pages to your class.

• Fill the glove that has the fingers tied with 200 ml of warm water
• Insert the temperature sensor into the water inside the glove
• Set the probe to measure the temperature of the water after every 30 seconds
• Hold the end of the glove closed, put the glove into the beaker or container of ice and water
• Record the temperature over a period of 10 minutes
• Repeat the experiment with the glove that does not have the fingers tied
• View the two graphs
• Glove without tied fingers has a greater surface area, water inside cools quicker, and hence displays a steeper cooling graph

• Students calculate the surface area and volume of a sphere and find the ratio
• Graph the ratio versus the radius of the sphere
• Explain that the graph shows an inverse relationship because as the radius increases, the ratio decreases
• #### After the Activity

Students analyze the results and answer the questions in the worksheet

Review student results:

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