Algebra I: Multiple Representations

Objectives

• 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.

Vocabulary

• 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.