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- HSA-REI.D.10Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
- HSA-REI.D.11Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.*
- HSA-REI.D.12Graph 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.

Solving Two Variable Inequalities

Algebra I

Â» Unit:

Extending Equations

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

Introduction to Linear Equations and Inequalities in One Variable

Algebra I

Â» Unit:

Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable

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

Don't Sink The Boat

Algebra I

Â» Unit:

Systems of Equations

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.

Graphing Inequalities (Vertical and Horizontal Boundaries)

8th Grade Math

Â» Unit:

Relationships between Quantities/Reasoning with Equations

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.

Modeling with Two Variable Equations and Inequalties

Algebra I

Â» Unit:

Extending Equations

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

Solving Two Variable Inequalities Part 2

Algebra I

Â» Unit:

Linear Functions

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

Two Variable Inequalities

8th Grade Math

Â» Unit:

Relationships between Quantities/Reasoning with Equations

Big Idea:Knowing how to graph two variable inequalities is sooo significant! Sooo many real world circumstances can be modeled with inequalities. Soooâ¦.letâs get with it!

Solve the System of Inequalities to Find The Treasure!

Algebra I

Â» Unit:

Systems of Equations

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.

Unit Test: Systems of Equations and Inequalities in 2 Variables

Algebra I

Â» Unit:

Making Informed Decisions with Systems of Equations

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!

Graphing Linear Inequalities

Algebra I

Â» Unit:

Linear Inequalities

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

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

Algebra I

Â» Unit:

Making Informed Decisions with Systems of Equations

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!

Maximizing Profit: An Introduction to Linear Programming

Algebra I

Â» Unit:

Systems of Equations and Inequalities

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.

Graphing and Solving Systems of Inequalities

Algebra I

Â» Unit:

Making Informed Decisions with Systems of Equations

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

Graphing Systems of Linear Inequalities (Day 1 of 2)

Algebra I

Â» Unit:

Linear Inequalities

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

SUPPLEMENT: Linear Programming Application Day 1 of 2

Algebra I

Â» Unit:

Systems of Equations and Inequalities

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

HSA-REI.D.10

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

HSA-REI.D.11

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.*

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.