HSA-REI.D.12

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

 
31 Lesson(s)
   

Solving Two Variable Inequalities

Algebra I » Unit: Extending Equations
Algebra I » Unit: Extending Equations
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

See how to use test points to determine how to determine the solution to a two-variable inequality.

 
Favorites (14)
 
Resources (22)
 
Reflections (1)
solving two variable inequalities image
   

Introduction to Linear Equations and Inequalities in One Variable

Algebra I » Unit: Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable
Algebra I » Unit: Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students demonstrate current knowledge through a pre-test and preview the big ideas of the unit.

 
Favorites (17)
 
Resources (17)
pic intro 1 variable mp
   

Don't Sink The Boat

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

Life is full of constraints and usually more than one at a time. So what is allowed? Students use systems of inequalities to determine feasible values on the coordinate plane.

 
Favorites (8)
 
Resources (18)
 
Reflections (1)
dont sink the boat image
   

Graphing Inequalities (Vertical and Horizontal Boundaries)

8th Grade Math » Unit: Relationships between Quantities/Reasoning with Equations
8th Grade Math » Unit: Relationships between Quantities/Reasoning with Equations
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

This lesson is actually a continuation of the Two Variable Inequality lesson. Again, the topic of inequalities is a great one for modeling with real world problems.

 
Favorites (1)
 
Resources (13)
 
Reflections (1)
inequalities2 image
   

Modeling with Two Variable Equations and Inequalties

Algebra I » Unit: Extending Equations
Algebra I » Unit: Extending Equations
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

Students will make a real life problem easier to understand by representing and solving it graphically.

 
Favorites (2)
 
Resources (15)
 
Reflections (1)
modeling w equations inequal image
   

Solving Two Variable Inequalities Part 2

Algebra I » Unit: Linear Functions
Algebra I » Unit: Linear Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

See how to use test points to determine how to determine the solution to a two-variable inequality.

 
Resources (12)
 
Reflections (1)
two variable inequality part2 image
   

Two Variable Inequalities

8th Grade Math » Unit: Relationships between Quantities/Reasoning with Equations
8th Grade Math » Unit: Relationships between Quantities/Reasoning with Equations
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

Knowing how to graph two variable inequalities is sooo significant! Sooo many real world circumstances can be modeled with inequalities. Sooo….let’s get with it!

 
Favorites (2)
 
Resources (18)
 
Reflections (2)
inequality image
   

Solve the System of Inequalities to Find The Treasure!

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The point of this activity is for students to solve a system of inequalities to find a treasure, and be able to provide reasoning and feedback to other students.

 
Favorites (29)
 
Resources (14)
treasure
   

Unit Test: Systems of Equations and Inequalities in 2 Variables

Algebra I » Unit: Making Informed Decisions with Systems of Equations
Algebra I » Unit: Making Informed Decisions with Systems of Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students complete a unit assessment aligned to unit standards - provides excellent data source for teacher's to adjust and refine their curriculum and instruction!

 
Resources (5)
systems unit test image
   

Maximizing Profit: An Introduction to Linear Programming

Algebra I » Unit: Systems of Equations and Inequalities
Algebra I » Unit: Systems of Equations and Inequalities
Amanda Hathaway
Boston, MA
Environment: Urban
 
Big Idea:

Now for the important question: How can we make the most money? After graphing a feasible region, students plot profit lines and learn the basics of linear programming.

 
Favorites (3)
 
Resources (12)
 
Reflections (1)
revisited resized
   

Study Session for Unit Test on Systems of Equations and Inequalities in 2 Variables

Algebra I » Unit: Making Informed Decisions with Systems of Equations
Algebra I » Unit: Making Informed Decisions with Systems of Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students work on the important executive function skill of progress monitoring by identifying areas of need and working on those types of problems to be active participants in studying for a unit test!

 
Resources (3)
systems study session image
   

Graphing and Solving Systems of Inequalities

Algebra I » Unit: Making Informed Decisions with Systems of Equations
Algebra I » Unit: Making Informed Decisions with Systems of Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students apply concepts learned about solving systems of equations and apply them to create, interpret and solve systems of inequalities!

 
Favorites (2)
 
Resources (31)
 
Reflections (3)
12 18 2013 image002
   

Graphing Linear Inequalities

Algebra I » Unit: Linear Inequalities
Algebra I » Unit: Linear Inequalities
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students will combine their knowledge of inequalities and linear functions to graph solution sets.

 
Favorites (9)
 
Resources (14)
 
Reflections (1)
ineq1
   

SUPPLEMENT: Linear Programming Application Day 1 of 2

Algebra I » Unit: Systems of Equations and Inequalities
Algebra I » Unit: Systems of Equations and Inequalities
Amanda Hathaway
Boston, MA
Environment: Urban
 
Big Idea:

This lesson gives students the opportunity to synthesize what they have learned before they begin to create their own linear programming problems.

 
Favorites (2)
 
Resources (17)
 
Reflections (2)
summer school
   

Graphing Systems of Linear Inequalities (Day 1 of 2)

Algebra I » Unit: Linear Inequalities
Algebra I » Unit: Linear Inequalities
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students will combine their knowledge of systems of equations and linear inequalities to represent the solution in a simultaneous equation scenario.

 
Favorites (10)
 
Resources (16)
 
Reflections (1)
ineq4
Common Core Math
 
Something went wrong. See details for more info
Nothing to upload
details
close