Course Level/Topic: Beginning Algebra/Rates and Slope

Purpose: Students use the concept of the rate of depreciation in a real world situation to investigate the relationship between rate and slope.

Learning Goals:

• Identify that slope of a line corresponds to a unit rate.
• Convert real world data to points on a line.
• Determine the equation of a line from its graph.
• Using the equation of a graph, solve for both independent and dependent values in a real world setting.
Pre-requisite knowledge:

• Determining the rate of change given two values
• Graphing a line given two points
• Finding the slope of a line given two points
• Finding the equation of the line given the slope and y-intercept
Materials: Graph paper

Time Required: 30 to 40 minutes

Description: Students create ordered pairs, graph depreciating car values, and calculate rates of depreciation, then identify that the rate of depreciation = slope of the line. Using the equation they then solve for future values and times.

Implementation:

This lab addresses a topic of concern for the students and hence engages them.

This lab can be used as an in-class follow-up activity after students have been introduced to the concepts.

This activity makes a good Group Work, Homework, Take-Home Quiz, In-Class Activity