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.
- Functional notation
- Ordered pairs
- Rate of change
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.