Education Technology

Two Hot, Two Cold

Published on 10/17/2008

Activity Overview

In this activity, students collect Celsius and Fahrenheit temperature data for various cities across the world. They develop and test a mathematical relationship between the two temperature scales. This is Activity 5 from the EXPLORATIONS book, TI-InterActive!™ Data Collection and Analysis (Texas Instruments Incorporated, 2000).

Before the Activity

  • Open a new TI InterActive!™document
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 27 - 32 from the attached PDF file for your class
  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:

  • From the CNN weather webpage find the high and low temperatures in Celsius and Fahrenheit scales of cities listed and 2 other cities of choice and record the data on the sheet
  • Graph Fahrenheit temperatures versus Celsius temperatures, and observe that the graph is linear and increasing
  • Find the slope of the line using the coordinates of two points on the line
  • Enter the x and y values of a point in the equation y = mx + b and find the y-intercept(b)
  • Use basic algebraic techniques to solve for the unknown and find the value of b
  • Form a new linear equation which shows relationship between Fahrenheit and Celsius temperature scales and is of the form y = mx + b
  • Use the linear regression function to get a line that best fits the data and record the linear equation y = ax + b and values of a and b
  • Find the values of 100 and 22 degrees Celsius in Fahrenheit using both the model and regression model equations
  • Observe that the values found using both equations are close to the actual values of 212 and 70 degrees Fahrenheit
  • After the Activity

    Students complete the analysis and answer questions.

    Review student results:

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