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