Evidence of Understanding

**identify variables within a situation and describe how they relate to each other**- identify
**dependent**and**independent**variables given a situation/context- grapple with several possible relationships and distinguish the difference between a
**relation**and a**function**

- grapple with several possible relationships and distinguish the difference between a
- analyze quantities and their
**units**in a situation to justify which ones are the most important- use units to describe quantities with precision

- determine appropriate
**domain**and**range**values of a function based on a given situation- state restrictions on a function’s domain and range within a given situation
- select appropriate units and round as indicated by the context or direction

- think flexibly about the relationship between quantities by converting among different-sized standard measurement
**units**within a given measurement system (ie. inches to feet)

- identify
**recognize the graph of a function as one way to represent all of the solutions between two quantities in a context/situation**(NOTE: no equations!)- explain how two axes of a graph are related to each other and describe specific coordinate points that define that relationship
- interpret the graph of a function by identifying its most important features and describing what those features mean within the context of the situation
- key features include:
**intervals**where the function is increasing or decreasing, positive or negative, intercepts, turning points/maximums and minimums, symmetries

- key features include:
- analyze patterns within a function’s graph and use it to make predictions about outputs of a function in a situation (including piecewise and step functions)
- recognize how restrictions on a function’s domain or range can cause a graph to be
**continuous**or**discrete**

- recognize how restrictions on a function’s domain or range can cause a graph to be

Develop conceptual understanding:

dependent, independent, function, relation, units, domain, range, interval, continuous, discrete

Supporting terms to communicate:

convert, ordered pair, axes, x-axis, y-axis, coordinate point, increasing, decreasing, positive, negative, turning point, maximum, minimum, intercept, piecewise function, step function