Unpacked Content
Knowledge
Students know:
- That linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
- Properties of arithmetic and geometric sequences.
Skills
Students are able to:
- Accurately recognize relationships within data and use that relationship to create a linear or exponential function to model the data of a contextual situation.
Understanding
Students understand that:
- Linear and exponential functions may be used to model data that is presented as a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
- Linear functions have a constant value added per unit interval, and exponential functions have a constant value multiplied per unit interval.
Vocabulary
- Arithmetic and geometric sequences
- Arithmetic sequence
- Geometric sequence
- Exponential function
