# Amanda Hathaway

Algebra I
101 Lessons
William J. Ostiguy
Boston, MA
Student Environment:
Urban
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## Algebra I

(7 Units, 101 Lessons)

#### 1. Introduction to Inequalities: Working with Constraints

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.
Standards:
Favorites (6)   Resources (12)   Reflections (1)

#### 2. Emerging Pictures: Graphing Inequalities in Two Variables

Big Idea: Students plot points that satisfy and do not satisfy a linear inequality until they see a picture emerge in their graphs.
Standards:
Favorites (3)   Resources (17)   Reflections (1)

#### 3. Two Methods, One Equation: Finding the Boundary Line

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.
Standards:
Favorites (0)   Resources (13)   Reflections (1)

#### 4. Writing and Graphing Inequalities to Represent Constraints

Big Idea: Application practice! Students solidify their understanding of writing and graphing inequalities with a new set of constraints.
Standards:
Favorites (0)   Resources (12)   Reflections (1)

#### 5. Finding the Feasible Region

Big Idea: How can we see multiple constraints at one time? Students create a single graph that shows combinations that fit four different constraints.
Standards:
Favorites (0)   Resources (12)   Reflections (1)

#### 6. Where Do the Lines Cross?

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.
Standards:
Favorites (3)   Resources (16)   Reflections (1)

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

Big Idea: Where is the difference in price? Students reasons through receipts in order to see the structure of solving systems using elimination.
Standards:
Favorites (5)   Resources (12)   Reflections (1)

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

Big Idea: Where is the difference in price? Students reasons through receipts in order to see the structure of solving systems using elimination.
Standards:
Favorites (1)   Resources (14)   Reflections (1)

#### 9. Introducing Inconsistent & Dependent Systems

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.
Standards:
Favorites (0)   Resources (15)   Reflections (1)

#### 10. Finding the Feasible Region: From Start to Finish

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.
Standards:
Favorites (1)   Resources (17)   Reflections (1)

#### 11. Maximizing Profit: An Introduction to Linear Programming

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.
Standards:
Favorites (3)   Resources (12)   Reflections (1)

#### 12. REVIEW: Systems Review and Word Problem Practice

Big Idea: Students have the opportunity to review and practice solving systems of equations, including those with inconsistent and dependent systems
Standards:
Favorites (0)   Resources (13)   Reflections (1)

#### 13. SUPPLEMENT: Linear Programming Application Day 1 of 2

Big Idea: This lesson gives students the opportunity to synthesize what they have learned before they begin to create their own linear programming problems.
Standards:
Favorites (2)   Resources (17)   Reflections (2)

#### 14. SUPPLEMENT: Linear Programming Application Day 2 of 2

Big Idea: This lesson gives students the opportunity to synthesize what they have learned before they begin to create their own linear programming problems.
Standards:
Favorites (0)   Resources (13)   Reflections (1)

#### 15. ASSESSMENT PROJECT: Writing Linear Programming Problems Day 1 of 3

Big Idea: Students gain insight into linear programming problems by working in groups to create and solve their own problems.
Standards:
Favorites (0)   Resources (12)   Reflections (1)

#### 16. ASSESSMENT PROJECT: Writing Linear Programming Problems Day 2 of 3

Big Idea: In small groups, students engage in the process of writing and solving linear programming problems that they created.
Standards:
Favorites (0)   Resources (13)   Reflections (1)

#### 17. ASSESSMENT PROJECT: Writing Linear Programming Problems Day 3 of 3

Big Idea: In small groups, students engage in the process of writing and solving linear programming problems that they created.
Standards:
Favorites (0)   Resources (15)   Reflections (1)
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