Activity Detail
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Inverse of Two Temps
 


Activity Overview

Students find a conversion equation that will calculate the corresponding Celsius temperature for any given Fahrenheit temperature. Students learn to graph scatter plots, analyze and graph linear equations, compute and model slope, derive and apply a conversion equation, and analyze inverse relations.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print pages 93 - 104 from the attached PDF file for the class

    		•

    		During the Activity

    		Distribute the pages to the class.

    Follow the Activity procedures:
  • Use the temperature data collected in Activity 10: Two Hot, Two Cold
  • Plot Celsius readings on the x-axis versus Fahrenheit temperatures on the y-axis
  • Set up second scatter plot of Fahrenheit on the x-axis versus Celsius temperatures on the y-axis
  • Enter the conversion equation for Celsius to Fahrenheit Y1= 9/5X + 32, and plot the line
  • Perform regression analysis on the data of points in the second scatter plot and find the new conversion equation of the line passing through the data points
  • Plot the line of Fahrenheit versus Celsius temperatures
  • Observe that the two lines are symmetrical with respect to the line Y = X
  • Enter various values of temperatures in Fahrenheit and use the new conversion equation to determine values in Celsius, observe their graphical and mathematical relationship
  • Conversion equation to calculate temperature in Celsius if the temperature in Fahrenheit is known will be C = 5/9(F-32)

    		After the Activity

  • Students analyze the results and answer the case analysis questions on the student worksheet.
  • 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:
    Science : Science General : General
    Math : Algebra I : Linear Equations and Functions

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-83 Plus Family, TI-84 Plus Family

    Apps:
    EasyData™

    Software:
    TI Connect™

    Accessories:
    Sensor - Temperature, TI Connectivity Cable, Unit-to-Unit link cables

    Other:
    This is Activity 11 from the EXPLORATIONS Book:
    EasyData Activities: Modeling Algebraic Functions with Data Collection Activities.

    The following materials are required for this activity:

  • Stored data from Activity 10: Two Hot, Two Cold


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