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 - Dual Range Force
TI Connectivity Cable
Vernier LabPro®

• ##### Other Materials
This is Activity 2 from the EXPLORATIONS Book: Real World Math Made Easy .

The following materials are required for this activity :
• Styrofoam coffee cup
• String
• 32 Post-1982 pennies

## Making Cents of Math: Linear Relationship Between Weight and Quantity

#### Activity Overview

Students use a Force Sensor to collect weight versus number data for a collection of identical pennies and model the data using a linear equation. They will then interpret the slope as it relates to independent and dependent variables.

#### Before the Activity

• Connect the force sensor to Channel 1 on the CBL 2™ or Vernier 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 8 - 16 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Set up the force sensor and the cup for determining the weight of the pennies placed in the cup
• Record the weight of 0, 8,16, 24, and 32 pennies
• Examine the graph of weight versus number
• Calculate the slope and intercept information using any two data points and determine the equation
• Do a linear regression on all the data points and determine the regression line equation
• Compare the two equations
• Use the concept of intercept and slope to describe the data
• #### After the Activity

Students will study the data and fill in the Student Data Collection and Analysis Sheet.

Review student results:

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