Activity Overview
In this activity, students explore linear equation models for real-life situations. They learn to find a linear equation when two pairs of related points are on a line.
Before the Activity
See the attached PDF file for detailed instructions for this activity
Print pages 7 - 13 from the attached PDF file for your class
During the Activity
Distribute the pages to the class.
Follow the Activity procedures:
Use the values for the freezing temperature of water (32° F, 0° C) and the boiling temperature of water (212° F, 100° C) as data points
Use the data points to calculate the slope of the linear model that can be used to find the conversion formula (Fahrenheit and Celsius readings)
Divide the change in the y-value and in x-value to find rate of change and thus the slope
Substitute one of the ordered pairs into the equation y = mx + b, and find the y-intercept
Use values of m and b to write the equation for converting temperature in Celsius (y-value) to Fahrenheit (x-values)
Given coordinates of two points on a line, use the slope formula m = (y2 - y1)/(x2 - x1) to find the slope m
Find the y-intercept
Write the slope intercept form of the equation
Write a simple program on the Voyage 200 PLT to find a linear model for any two points
Solve real world problems using linear models expressed in slope-intercept form
After the Activity
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary