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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

» 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

» 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

» 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

» 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

» 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

» 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

» 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. Sooo….let’s get with it!

Solve the System of Inequalities to Find The Treasure!

Algebra I

» 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

» 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

» 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

» 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

» 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

» 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

» 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

» 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.