determine if a situation should be modeled as discrete or continuous.

explain the difference between discrete arithmetic or geometric sequences and continuous linear or exponential models.

connect the nature of growth found in both linear and exponential functions to multiple representations, including a graph, recursive and explicit function rules, tables of values, visual patterns, and story context.

interpret the meaning of a number raised to a negative power.

use the properties of exponents with integer exponents.

make and interpret mathematical models to make business decisions.

determine which type of function grows faster and make arguments about why.

understand and find the average rate of change of a function in an interval.

decide when a linear or exponential model is appropriate and attend to their different attributes in different representations. Know when to make a discrete or a continuous representation and what this means.

distinguish between linear and exponential mathematical models and connect multiple representations to a given representation.

(i.e. given equation, create table, graph, possible context)

create linear and exponential functions using multiple forms and when given various information. Find an explicit linear equation when given a point and a slope or two points. Find an explicit exponential equation when given a point and constant ratio or two points.