This activity is intended to supplement Algebra I, Chapter 6, Lesson 5.
Time required: 30 minutes
Topic: Linear Equations
Solve a linear equation involving absolute value.
Students will examine data by comparing individual data points to the mean by finding the difference (positive or negative) and the distance from the mean, plot the distances versus the differences to examine the shape of the plot, investigate the absolute value function in the Y= register to model the relationship between the distances and the differences, and extend the investigation of absolute value equations by examining tables and graphs.
This activity is designed to be used in an Algebra 1 classroom.
Prior to beginning this activity, students should have experience graphing linear functions and analyzing simple graphs and function tables.
This activity is intended to be mainly student-centered, with breaks for whole-class discussion following each problem. The student worksheet guides students through the activity and provides a place for students to record their answers.
Information for an optional extension is provided at the end of this activity on the student worksheet. Should you not wish students to complete the extension, you may have students disregard that portion of the student worksheet.
Prior to beginning the activity, students should clear out any functions from the Y= screen and any data from the Lists.
See the student worksheet on how to complete this activity.