Algebra 1
Unit 3: Graphing Linear Equations and Functions
Inquiry used to explore generalizations
What are the different methods we can use to graph linear equations and functions?
Use the coordinate grid to name points and plot points.
Graph functions over a specified domain.
Graph a function from a table.
Determine if an ordered pair is a solution to an equation in two variables.
Graph a linear function from the equation by making a table of values.
Graph horizontal and vertical lines.
Graph linear functions from real world situations and state the domain and range.
Graph linear equations using intercepts.
Relate intercepts, points, and graphs.
Find possible solutions to a real world situation using a graph of a linear function.
How do changes in linear equations and functions affect their graphs?
Find the slope of a linear equation from a graph, table, or two points.
Solve problems that use slope in real world situations.
Identify the slope and y-intercept from linear equations.
Rewrite linear equations to be in slope-intercept form.
Graph equations from slope-intercept form.
Use slopes to make comparisons and find differences between real-world scenarios.
Determine if lines are parallel.
How do we use graphs of linear equations and functions to solve real-world problems?
Determine if equations represent direct variation.
Identify the constant of variation.
Graph direct variation equations.
Write direct variation equations and use them to find values of y for specific x values.
Solve real-world application problems by writing direct variation equations and solving them.
Use a direct variation model for real-world scenarios.
Use function notation and evaluate functions for certain values.
Use functions to model real-world scenarios and make tables and graphs of the functions.
Students will be able to demonstrate the integration of personal and collective
knowledge by applying it to the creation of a solution to an authentic problem.
Content Skills
(What students are expected to do.)
Identify and plot points in a coordinate plane.
Graph linear equations in a coordinate plane.
Graph linear equations using intercepts.
Find the slope of a line and interpret slope as a rate of change.
Graph linear equations using slope-intercept form.
Write and graph direct variation equations.
Use function notation.
Understand when a linear relationship is also direct variation.
Know how to answer questions based on a given situation that can be modeled with a linear function.
Understand how to work with function notation.