Linear Functions - Reporting Category 3

Linear functions. The student understands that linear functions can be represented in different ways and translates among their various representations. The student understands the meaning of the slope and intercepts of the graphs of linear functions and zeros of linear functions and interprets and describes the effects of changes in parameters of linear functions in real-world and mathematical situations.

 

 

(A.5) Linear functions. The student understands that linear functions can be represented in different ways and translates among their various representations. The student is expected to


(A) determine whether or not given situations can be represented by linear functions; Supporting Standard

(B) determine the domain and range for linear functions in given situations; and Supporting Standard

(C) use, translate, and make connections among algebraic, tabular, graphical, or verbal descriptions of linear functions. Readiness Standard

 

 

(A.6) Linear functions. The student understands the meaning of the slope and intercepts of the graphs of linear functions and zeros of linear functions and interprets and describes the effects of changes in parameters of linear functions in real-world and mathematical situations. The student is expected to 

 

(A) develop the concept of slope as rate of change and determine slopes from graphs, tables, and algebraic representations; Supporting Standard

(B) interpret the meaning of slope and intercepts in situations using data, symbolic representations, or graphs; Readiness Standard

(C) investigate, describe, and predict the effects of changes in m and b on the graph of y = mx + b; Readiness Standard

(D) graph and write equations of lines given characteristics such as two points, a point and a slope, or a slope and y-intercept; Supporting Standard

(E) determine the intercepts of the graphs of linear functions and zeros of linear functions from graphs, tables, and algebraic representations; Supporting Standard

(F) interpret and predict the effects of changing slope and y-intercept in applied situations; and Readiness Standard

(G) relate direct variation to linear functions and solve problems involving proportional change. Supporting Standard