I can describe the meaning of a negative exponent in equations that represent exponential decay.

I can write and graph an equation that represents exponential decay to solve problems.

I can use the idea that to compute values.

I can write exponent rules for and .

I can rewrite roots in a form with a fractional exponent.

I can rewrite roots raised to a power as values with a fractional exponent.

I can use function notation to write equations that represent exponential relationships.

When I see relationships in descriptions, tables, equations, or graphs, I can determine whether the relationships are functions.

I can analyze a situation and determine whether it makes sense to connect the points on the graph that represents the situation.

When I see a graph of an exponential function, I can make sense of and describe the relationship using function notation.

I can calculate the average rate of change of a function over a specified period of time.

I know how the average rate of change of an exponential function differs from that of a linear function.

I can use exponential functions to model situations that involve exponential growth or decay.

When given data, I can determine an appropriate model for the situation described by the data.

I can describe the effect of changing and on a graph that represents .

I can explain the meaning of the intersection of the graphs of two functions in terms of the situations they represent.

When I know two points on a graph of an exponential function, I can write an equation for the function.

I can find the result of applying a percent increase or decrease on a quantity.

I can write different expressions to represent a starting amount and a percent increase or decrease.

I can use graphs to illustrate and compare different percent increases.

I can write a numerical expression or an algebraic expression to represent the result of applying a percent increase repeatedly.

I can explain why applying a percent increase, , times is like or unlike applying the percent increase .

I can calculate interest when I know the starting balance, interest rate, and compounding intervals.

When given interest rates and compounding intervals, I can choose the better investment option.

I can solve problems using exponential expressions written in different ways.

I can write equivalent expressions to represent situations that involve repeated percent increase or decrease.

I can determine how well a chosen model fits the given information.

I can determine whether to use a linear function or an exponential function to model real-world data.

I can use tables, calculations, and graphs to compare growth rates of linear and exponential functions and to predict how the quantities change eventually.

I can calculate rates of change of functions given graphs, equations, or tables.

I can use rates of change to describe how a linear function and an exponential function change over equal intervals.

I can explain the connections between an equation and a graph that represents exponential growth.

I can write and interpret an equation that represents exponential growth.

I can explain the meanings of and in an equation that represents exponential decay and is written as .