Evidence of Understanding

**describe features of periodic functions**- use features of the graph to describe patterns of a
**periodic****function**- use congruence to justify whether any given function is periodic or not

- explain the domain and range of a periodic function from its graph or table
- state the mins, maxs, and intercepts of a periodic function from its table or graph
- create expressions to represent all of the mins, maxs, or x intercepts of a periodic function

- describe the end behavior of a periodic function
- recognize congruent chunks of a trig function and use the
**period**to state repeating intervals that are increasing, decreasing, positive, or negative

- use features of the graph to describe patterns of a
**describe features of a sine or cosine function from a table, graph, or function rule**- identify congruent chunks of a trig function using the period, drawing lines of symmetry, and describing the transformations that carry parts of the function onto itself
- use the graph’s scale to state the period of a
**trig function**- Ex: state the period as 2π, 75o, 3.5, etc. by reading the scale on the graph

- explain the domain and range of a trig function
- identify the
**amplitude**of a trig function from a function rule and its graph or table - describe how the
**midline**and amplitude impacts the range of the trig function

- identify the
- state the mins, maxs, and intercepts of a trig function from its table or graph
- recognize that all intercepts, mins, and maxs are equidistant from one another
- create expressions to represent all of the mins, maxs, or x intercepts of a trig function

- given a trig function rule, use calculator tools to describe features from the graph or table
- describe the end behavior of a trig function

Develop conceptual understanding:

periodic function, period, trig function, amplitude, midlineSupporting terms to communicate:

function, scale, domain, range, intercepts, min, max, end behavior, interval, symmetry, equidistant, congruent, reflection, rotation, translation, transformation