Evidence of Understanding
 analyze equivalent representations of the same function

identify characteristics of a function across different representations, especially end behavior, symmetry, critical points (including distinguishing mins and maxs as relative or absolute), zeros, rate of change, and increasing/decreasing/positive/negative intervals
 Example: recognize increasing output values in the table correspond to an increasing interval on the graph, etc.
 relate features of a parabola to features of its quadratic equation
 relate the zeros of factorable polynomial functions to its equation (Note: this supports the Remainder Theorem in the Unit 4)
 articulate and compare the advantages of different representations, including graphs, tables of values, equations, written descriptions, symbolic notations, etc.

identify characteristics of a function across different representations, especially end behavior, symmetry, critical points (including distinguishing mins and maxs as relative or absolute), zeros, rate of change, and increasing/decreasing/positive/negative intervals
 create equivalent representations for a polynomial, exponential, piecewise or step function
 identify missing characteristics for one representation using features from a different representation of the same function

create an equivalent representation given a graph, table of values, or situation
 justify why both representations are equivalent
 correctly label all important parts of each representation and describe how these labels translate across equivalent representations
 use rates of change to generate equivalent representations
 compare properties of two functions each represented in a different way
 use general characteristics of function families to distinguish and compare the functions

describe characteristics that are similar and different
 Example: identify which function has a larger maximum, more zeros, etc.
Develop conceptual understanding:
end behavior, symmetry, critical point, zero, rate of change, polynomial function
Supporting terms to communicate:
domain, range, interval, intercepts, roots, relative/absolute min and max, linear, quadratic, exponential, logarithmic, square root, cube root, polynomial, rational, periodic