Patterns, Functions, and Algebra
Focus: Linear Equations
The student will
a) solve onestep inequalities in one variable; and
b) graph solutions to inequalities on the number line. 


Essential Knowledge and Skills 
 Represent and demonstrate steps in solving inequalities in one variable, using concrete materials, pictorial representations, and algebraic sentences.
 Graph solutions to inequalities on the number line.
 Identify a numerical value that satisfies the inequality.

Essential Understandings 
 How are the procedures for solving equations and inequalities the same?
The procedures are the same except for the case when an inequality is multiplied or divided on both sides by a negative number. Then the inequality sign is changed from less than to greater than, or greater than to less than.
 How is the solution to an inequality different from that of a linear equation?
In an inequality, there can be more than one value for the variable that makes the inequality true.


Vertical Articulation 
 SOL 6.20  graph inequalities on number
line
 SOL 8.16  graph linear equation in two
variables
 SOL A.5abcd  solve multistep linear
inequalities (2 variables)  a) solve
multistep linear inequalities
(algebraically/graphically); b) justify
steps used in solving inequalities; c)
solve realworld problems involving
inequalities; d) solve systems of
inequalities
 SOL A.6ab  graph linear equations/linear
inequalities (in 2 variables)  a)
determine slope of line given
equation of line/graph of line or two
points on line  slope as rate of
change; b) write equation of line
given graph of line, two points on
line or slope & point on line

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Inequalities (PDF)  Solving one and two step linear equations (Word)
 Notes: Solving OneStep Inequalities with Addition/Subtraction (ppt)
 Notes: Solving OneStep Inequalities with Addition/Subtraction (ppt)
 Notes: Solving OneStep Inequalities with Addition/Subtraction #2 (ppt)
 Notes: Solving OneStep Inequalities with Multiplication/Division (ppt)
 Notes: Graphing Inequalities (flipchart)
 Guided Practice: Solving OneStep Inequalities with Multiplication/Division (doc)
 Activity: Solving OneStep Inequalities  Chart Organization (doc)
 Activity:
Expressions, Equations, and Inequalities Sort (doc)

Real World Lessons 
 Mathalicious: An AppleCare a Day  Is it ever a good idea to buy an extended warranty?

Practice 
 Solving OneStep Inequalities Practice  Addition/Subtraction (doc)
 Solving OneStep Inequalities Practice  Addition/Subtraction #2 (doc)
 Solving OneStep Inequalities Practice  Addition/Subtraction #3 (doc)
 Solving OneStep Inequalities Practice  Multiplication/Division (doc)
 Solving OneStep Inequalities Practice  Multiplication/Division #2 (doc)
 Solving OneStep Inequalities Practice (doc)
 Solving OneStep Inequalities Practice #2 (pdf)
 Equations and Inequalities SOL questions (doc)
 Inequality Word Problems (flipchart)
 Review of Equations and Inequalities (doc)

SOL Mini Quiz 
 SOL 7.15 Mini Quiz: Inequalities (pdf)  (doc)

Skills 
 Inequalities: Guess My Age (doc)

Videos 
 PH Graphing Solutions to One Variable Inequalities
 PH Writing an Inequality from a Graph
 PH Writing Inequalities
 PH Solving Inequalities by Addition
 PH Solving Inequalities by Subtraction
 PH Solving Inequalities by Multiplication
 PH Solving Inequalities by Division
 YouTube: Solving ang Graphing Inequalities
 YouTube: Solving ang Graphing Inequalities

Explore
Learning 
 Solving Linear Inequalities using Addition and Subtraction: Solve a linear inequality. Graph the solution on a dynamic number line.
 Solving Linear Inequalities using Multiplication and Division: Solve an inequality involving multiplication and division. Graph the solution on a number line.
 Compound Inequalities: Explore the graphs of two inequalities and find their union or intersection. Determine the relationship between the endpoints of the inequalities and the endpoints of the compound inequality.

Websites 
 Math.com: Writing Inequalities  notes and workout problems
 RegentsPrep:: Solving Inequalities  lessons and practice problems
 Math.com: Solving Inequalities  notes and workout problems
 ClassZone: Solving Inequalities

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra  The lessons focus on algebraic reasoning. Additionally,
students learn to solve equations and inequalities, first by using manipulatives and then by working with
symbols. They use modeling to collect data, and they learn to record data so that they can see the
relationship that exists among tables, graphs, words, and equations. (pdf)

Common Core
Standards 
