Education Technology

Linear Functions: Slope as Rate of Change

Activity Overview

Students learn to associate the slope of a straight line with a constant rate of change. They also learn to calculate the rate of change from data points on a line, using the correct units. Students also learn to read from a linear graph: the rate of change, the scale of the axes, and the correct units.

Before the Activity

Install Topics in Algebra 1 (Chapters 1-4) App on the calculator using one of these two methods:

  • TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
  • TI-Navigator™  "send to class" feature
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 3-18 to 3-23 from the attached PDF file for your class
  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:

  • Determine what type of graphs have non-constant rate of change
  • Simulate a trip in the balloon in the activity Balloon Speed and record time and position data
  • Calculate the rate of change of each trip
  • Simulate a dive in the submarine in the activity Dive and record time and position data
  • Calculate the rate of change of each trip
  • In the Car Trip Word Problem, find the rate at which the car travels for each leg of the trip
  • Given a set of coordinates, find the rate of change using ratio formula change in y to change in x
  • Use the calculator to convert find rate of change for data given in different units
  • Solve additional problems
  • After the Activity

    Students will complete the Student Worksheet and analyze the results.

    Review student results:

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