Linear functions unit
Define, evaluate, and compare functions
8.F.A.2
Compare properties of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions). For example, given a linear
function represented by a table of values and a linear function represented by an
algebraic expression, determine which function has the greater rate of change.
_____ a. I can identify rates of change in functions that are represented
____ numerically
____ algebraically
____ graphically
____ sentences(verbal descriptions)
_____ b. I can compare the properties of two functions that are represented in different
ways such as
____ numerically
____ algebraically
____ graphically
____ sentences(verbal descriptions) to determine which has the greater rate of
change.
_____ c. I can draw conclusions based on different representations of functions
Use functions to model relationships between quantities.
8.F.B.4
Construct a function to model a linear relationship between two quantities. Determine the
rate of change and initial value of the function from a description of a relationship or
from two (x, y) values, including reading these from a table or from a graph. Interpret the
rate of change and initial value of a linear function in terms of the situation it models, and
in terms of its graph or a table of values.
_____ a. I can recognize that the y intercept is the initial value where x=0.
_____ b. I can determine the (rate of change, initial value) of a function from a
description of a relationship or two values from
____ numerically
____ algebraically
____ graphically
____ sentences(verbal descriptions).
_____ c. I can relate the rate of change and the initial value to real world quantities in a
function in terms of the situation modeled and in terms of its graphs or a table of values.
_____ d. I can create an equation that models a linear relationship between two
quantities.
Vocabulary: function, rate of change, linear relationships, initial value, slope