Lesson 2: Graphing Inequalities from Standard Form
Duration of Days: 3
Lesson Objective
Students will be able to graph linear inequalities from standard form (Ax + By < C) by calculating x and y intercepts and determining the appropriate shadeing based on the inequality symbol.
How does finding the x and y intercepts provide a faster way to graph an inequality in standard form compared to slope-intercept form?
Standard Form
x-intercept
y-intercept
Coefficient
Variable
HSA.CED.A.3: Represent constraints by equations or inequalities.
HSA.REI.D.12: Graph the solutions to a linear inequality in two variables as a half-plane.
Description: This lesson teaches students to graph inequalities that are not already solved for y. Students will learn the "cover-up" method to find intercepts and practice switching between standard and slope-intercept form.
Purpose: To give students a more efficient strategy for graphing complex constraints, especially in word problems where variables represent two different physical items.
DOK Level: 2 (Skill/Concept)
Students may struggle with the idea that setting x=0 finds the y-intercept and vice versa.
Visual Organizers
Exit Tickets