Activity Detail

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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.

    Follow the Activity procedures:
  • 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


    Other Downloads




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    Subject Area:
    Math : Algebra I : Linear Equations and Functions

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-73 Explorer™, TI-83 Plus Family, TI-84 Plus Family

    Apps:
    DataMate, EasyData™

    Software:
    TI Connect™

    Accessories:
    CBL™/CBL 2™, Sensor - Dual Range Force, TI Connectivity Cable, Unit-to-Unit link cables, Vernier LabPro®

    Other:
    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


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