Education Technology

Multiple Representations

Published on 03/16/2011

Activity Overview

Interpret slope as a rate of change in the context of a real-world situation.


  • Students will interpret information represented in tables, graphs, and symbols.
  • Students will be able to find the slope from a table, from a graph, and in an equation.
  • Students will interpret the meaning of slope and intercepts in the context of a real world situation.
  • Students will recognize that a real world situation often has conditions that naturally restrict the domain.


  • Function
  • Functional notation
  • Ordered pairs
  • Rate of change
  • Slope
  • y-intercept

About the Lesson

This lesson involves the concept of interpreting slope as a rate of change in the context of a real world problem situation.

As a result, students will:

  • Collect ordered pairs and interpret the connections across various representations of the data using a symbolic rule relating income to the number of hours worked.
  • Investigate the connections between symbols, ordered pairs, tables, and graphs.
  • Recognize the vertical intercept and slope in each of these representations. The lesson assumes knowledge of function notation.