HSA-REI.C.5

Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

 
26 Lesson(s)
   

Solving Linear Systems of Equations with Elimination (Day 1 of 3)

Algebra I » Unit: Systems of Linear Equations
Algebra I » Unit: Systems of Linear Equations
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students will identify zero pair coefficients to solve systems of equations by adding.

 
Favorites (71)
 
Resources (14)
 
Reflections (1)
elimination 1
   

Stacking Cups: Systems of Equations Real World Application

Algebra I » Unit: Systems of Linear Equations
Algebra I » Unit: Systems of Linear Equations
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students use data to create equations describing a concrete scenario. Students analyze the equations as a system to solve a problem.

 
Favorites (86)
 
Resources (30)
 
Reflections (5)
stacking cups
   

Solving Linear Systems of Equations with Elimination (Day 3 of 3)

Algebra I » Unit: Systems of Linear Equations
Algebra I » Unit: Systems of Linear Equations
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students will use multiplication to create zero pair coefficients. Students will use graphing calculators to verify the solution to a system of equations.

 
Favorites (20)
 
Resources (18)
 
Reflections (1)
elimination 3
   

Bring in the Sub!: Solving Systems of Equations 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 group work on engaging real-world problems and provide constructive feedback to their peers through a gallery walk!

 
Favorites (3)
 
Resources (22)
 
Reflections (2)
dt common streams streamserver cls
   
Algebra I » Unit: Systems of Equations
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The idea of this lesson is to provide students with an alternate teaching method by using Khan Academy to gain interest, comprehension, and scaffolding for differentiated learning.

 
Favorites (3)
 
Resources (8)
khan academy students working
   

Define, Set, Go!

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

Students are exposed to importance of defining variables as an initial step in solving a linear system of equations.

 
Favorites (2)
 
Resources (11)
 
Reflections (1)
define set go
   

Job Offers and Cell Phone Plans: Making Informed Decisions with Mathematics

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 learn to act as knowledgeable consumers as they model cell phone plans and make decisions about which plan best meets their needs.

 
Favorites (3)
 
Resources (32)
 
Reflections (3)
cellphone
   

Elimination with 2 Column Notes

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

In this lesson students write 2-column notes as they work to increase retention of process and concepts.

 
Favorites (3)
 
Resources (10)
aphrodisias columns
   

Solving Linear Systems of Equations with Elimination (Day 2 of 3)

Algebra I » Unit: Systems of Linear Equations
Algebra I » Unit: Systems of Linear Equations
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students will investigate properties of equality with scaled numbers. Students will use multiplication to create zero pair coefficients.

 
Favorites (37)
 
Resources (20)
 
Reflections (1)
elimination 2
   

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
   

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
   

Fitness Center Question

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

This lesson is great because it allows student to design equations based on given information but most importantly it allows them to analyze the finished graph. Students are able to build and pull meaning from their work and use the mathematics to help th

 
Favorites (7)
 
Resources (12)
 
Reflections (1)
fitness center image
   

Practice Solving Systems Algebraically

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

This lesson allows students to "prove" why the elimination method for systems of equations gives a viable solution.

 
Favorites (2)
 
Resources (9)
systems sub elim basic practice docx doc
Common Core Math
 
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