Unpacked Content
Knowledge
Students know:
- Key components of linear and exponential functions.
- Properties of operations and equality
Skills
Students are able to:
- Accurately determine relationships of data from a contextual situation to determine if the situation is one in which one quantity changes at a constant rate per unit interval relative to another (linear).
- Accurately determine relationships of data from a contextual situation to determine if the situation is one in which one quantity grows or decays by a constant percent rate per unit interval relative to another (exponential).
Understanding
Students understand that:
- Linear functions have a constant value added per unit interval, and exponential functions have a constant value multiplied per unit interval.
- Distinguishing key features of and categorizing functions facilitates mathematical modeling and aids in problem resolution.
Vocabulary
- Linear functions
- Exponential functions
- Constant rate of change
- Constant percent rate of change
- Intervals
- Percentage of growth
- Percentage of decay
- Slope-intercept form of a line
