Common Core Standards: Math
1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
Students should be able to actually see the differences between a linear and exponential function, whether it's through graphs, tables, or other media. Then, they should be able to apply these functions to specific situations, or at minimum, understand when each function may be of use.
- Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
- Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
- Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.