The student will investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.

A.F.1.aDetermine and identify the domain, range, zeros, slope, and intercepts of a linear function, presented algebraically or graphically, including the interpretation of these characteristics in contextual situations.A.F.1.bInvestigate and explain how transformations to the parent function 𝑦 = 𝑥 affect the rate of change (slope) and the 𝑦-intercept of a linear function.A.F.1.cWrite equivalent algebraic forms of linear functions, including slope-intercept form, standard form, and point-slope form, and analyze and interpret the information revealed by each form.A.F.1.dWrite the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations:A.F.1.eWrite the equation of a line parallel or perpendicular to a given line through a given point.A.F.1.fGraph a linear function in two variables, with and without the use of technology, including those that can represent contextual situations.A.F.1.gFor any value, 𝑥, in the domain of 𝑓, determine 𝑓(𝑥), and determine 𝑥 given any value 𝑓(𝑥) in the range of 𝑓, given an algebraic or graphical representation of a linear function.A.F.1.hCompare and contrast the characteristics of linear functions represented algebraically, graphically, in tables, and in contextual situations.
Goblins

1-on-1 AI tutoring aligned to A.F.1. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →