MA19.A1.24
Distinguish between situations that can be modeled with linear functions and those that can be modeled with exponential functions.
Distinguish between situations that can be modeled with linear functions and those that can be modeled with exponential functions.
Unpacked Content
UP:MA19.A1.24
Vocabulary
- Linear functions
- Exponential functions
- Constant rate of change
- Constant percent rate of change
- Intervals
- Percentage of growth
- Percentage of decay
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.
