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Algebra I

(7 Units, 101 Lessons)

Unit 3 - Systems of Equations and Inequalities(17 Lessons)

Introduction to Inequalities: Working with Constraints

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:Before learning about systems of inequalities and equations, students jump in to a real world business problem and explore what it's like to work within certain constraints.

12 Resources

9 Favorites

12 Resources

9 Favorites

Emerging Pictures: Graphing Inequalities in Two Variables

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:Students plot points that satisfy and do not satisfy a linear inequality until they see a picture emerge in their graphs.

17 Resources

4 Favorites

17 Resources

4 Favorites

Two Methods, One Equation: Finding the Boundary Line

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:Hey, how did you find that line? Students examine two different ways to find the equations of boundary lines and work to understand why they are equivalent.

13 Resources

0 Favorites

13 Resources

0 Favorites

Writing and Graphing Inequalities to Represent Constraints

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:Application practice! Students solidify their understanding of writing and graphing inequalities with a new set of constraints.

12 Resources

1 Favorites

12 Resources

1 Favorites

Finding the Feasible Region

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:How can we see multiple constraints at one time? Students create a single graph that shows combinations that fit four different constraints.

12 Resources

0 Favorites

12 Resources

0 Favorites

Where Do the Lines Cross?

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:How can we figure out the exact value of x and y when two lines cross? Students learn the importance of solving systems of equations using algebraic methods.

16 Resources

4 Favorites

16 Resources

4 Favorites

Solving Systems Using Elimination: An Intuitive Approach -- Day 1 of 2

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:Where is the difference in price? Students reasons through receipts in order to see the structure of solving systems using elimination.

12 Resources

6 Favorites

12 Resources

6 Favorites

Solving Systems Using Elimination: An Intuitive Approach -- Day 2 of 2

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:Where is the difference in price? Students reasons through receipts in order to see the structure of solving systems using elimination.

14 Resources

1 Favorites

14 Resources

1 Favorites

Introducing Inconsistent & Dependent Systems

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:Wait a second! Students explore what happens when there are no solutions that satisfy a system of equations as well as what happens when there are an infinite number of solutions.

15 Resources

0 Favorites

15 Resources

0 Favorites

Finding the Feasible Region: From Start to Finish

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:Can your cat get enough carbs and protein but not too much fat? Students pull together what they know about graphing inequalities to identify combinations of pet food that satisfy four inequalities.

17 Resources

1 Favorites

17 Resources

1 Favorites

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.

12 Resources

5 Favorites

12 Resources

5 Favorites

REVIEW: Systems Review and Word Problem Practice

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:Students have the opportunity to review and practice solving systems of equations, including those with inconsistent and dependent systems

13 Resources

0 Favorites

13 Resources

0 Favorites

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.

17 Resources

5 Favorites

17 Resources

5 Favorites

SUPPLEMENT: Linear Programming Application Day 2 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.

13 Resources

0 Favorites

13 Resources

0 Favorites

ASSESSMENT PROJECT: Writing Linear Programming Problems Day 1 of 3

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:Students gain insight into linear programming problems by working in groups to create and solve their own problems.

12 Resources

0 Favorites

12 Resources

0 Favorites

ASSESSMENT PROJECT: Writing Linear Programming Problems Day 2 of 3

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:In small groups, students engage in the process of writing and solving linear programming problems that they created.

13 Resources

0 Favorites

13 Resources

0 Favorites

ASSESSMENT PROJECT: Writing Linear Programming Problems Day 3 of 3

Algebra I

» Unit:

Systems of Equations and Inequalities

Big Idea:In small groups, students engage in the process of writing and solving linear programming problems that they created.

15 Resources

0 Favorites

15 Resources

0 Favorites