Evidence of Understanding

**define variables within a situation and describe how they relate to each other**- describe quantities as values that include a sign, the number, and the unit in a situation
- convert between
**units**within a single measurement system*(Example: inches to feet)*

- convert between
- identify
**dependent**and**independent**variables for a given situation/context- justify which quantities in a situation are the most important

function relationships in a given situation from other **relations***(Note: this is a introduction explored in depth in Unit 1, Big Idea 2)**Example: If “grapes are $2 a pound, and turkey is $7 a pound,” then pounds of grapes to cost of grapes is a function, and pounds of grapes to cost of turkey is a relation*

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

- describe the quantities in the domain and range using the terms whole, integer, rational, irrational, etc.

- describe quantities as values that include a sign, the number, and the unit in a situation

**analyze graphs to describe the relationship between quantities in a context/situation**- interpret the graph of a function by identifying key features and describing what those features represent 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 them to make predictions about outputs of a function in a situation (include 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

- interpret the graph of a function by identifying key features and describing what those features represent within the context of the situation

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