Evidence of Understanding

**use the rate of change to extend a pattern, sequence, table, or graph**- identify and justify the
**rate**at which the independent and dependent quantities/variables are changing in relation to each other- describe
**rate of change**with its attached units (e.g., miles per hour) - calculate the rate of change between pairs of values

- describe

- identify and justify the
**interpret a mathematical representation using the rate of change**- calculate and articulate the usefulness of the
**average rate of change**in relation to context- recognize when the average rate of change is zero and describe its meaning

- convert one or both units for a given relationship, including the use of
**proportions**and unit rate*Ex:*convert a situation relating distance to time from miles per hour to feet per second- understand unit conversion is a unit rate that is proportional and is linear when graphed

- recognize a
**constant rate of change**in a table of values, graph, or situation- explain why a
**line**results when graphing a constant rate of change

- explain why a

- calculate and articulate the usefulness of the
**compare linear, quadratic, and exponential functions using the rate of change**- recognize the second difference (“rate of change of the rate of change”) for quadratic functions is constant
- recognize
**exponential functions**grow by equal factors over equal intervals- rate of change for
**exponential growth**increases over the domain - rate of change for
**exponential decay**decreases over the domain

- rate of change for
- match a situation with a graph or table using the function’s rate of change

Develop conceptual understanding:

rate, rate of change, average rate of change, proportion, constant rate of change, line, exponential function, exponential growth, exponential decay

Supporting terms to communicate:

function, f(x), axes, units, scale, coordinate point, ordered pair, table of values, interval, increasing, decreasing, positive, negative, turning point, maximum, minimum, intercept, dependent, independent, domain, range