HSA-REI.C.5
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- HSA-REI.C.5Prove 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.
- HSA-REI.C.6Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
- HSA-REI.C.7Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x^{2} + y^{2} = 3.
- HSA-REI.C.8(+) Represent a system of linear equations as a single matrix equation in a vector variable.
- HSA-REI.C.9(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).
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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
Big Idea:
Students will identify zero pair coefficients to solve systems of equations by adding.
Standards:
Favorites
(71)
Resources
(14)
Reflections
(1)
Stacking Cups: Systems of Equations Real World Application
Algebra I »
Unit: Systems of Linear Equations
Algebra I »
Unit: Systems of Linear Equations
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
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.
Standards:
Favorites
(20)
Resources
(18)
Reflections
(1)
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
Big Idea:
Students complete group work on engaging real-world problems and provide constructive feedback to their peers through a gallery walk!
Standards:
Favorites
(3)
Resources
(22)
Reflections
(2)
Khan Your Way Into Solving a System of Equations Using Elimination
Algebra I »
Unit: Systems of Equations
Algebra I »
Unit: Systems of Equations
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.
Standards:
Favorites
(3)
Resources
(8)
Big Idea:
Students are exposed to importance of defining variables as an initial step in solving a linear system of equations.
Standards:
Favorites
(2)
Resources
(11)
Reflections
(1)
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
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.
Standards:
Favorites
(3)
Resources
(32)
Reflections
(3)
Elimination with 2 Column Notes
Algebra I »
Unit: Systems of Equations
Algebra I »
Unit: Systems of Equations
Big Idea:
In this lesson students write 2-column notes as they work to increase retention of process and concepts.
Standards:
Favorites
(3)
Resources
(10)
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
Big Idea:
Students will investigate properties of equality with scaled numbers. Students will use multiplication to create zero pair coefficients.
Standards:
Favorites
(37)
Resources
(20)
Reflections
(1)
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
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!
Standards:
Resources
(5)
Maximizing Profit: An Introduction to Linear Programming
Algebra I »
Unit: Systems of Equations and Inequalities
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.
Standards:
Favorites
(3)
Resources
(12)
Reflections
(1)
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
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!
Standards:
Resources
(3)
SUPPLEMENT: Linear Programming Application Day 1 of 2
Algebra I »
Unit: Systems of Equations and Inequalities
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.
Standards:
Favorites
(2)
Resources
(17)
Reflections
(2)
Fitness Center Question
Algebra I »
Unit: Systems of Equations
Algebra I »
Unit: Systems of Equations
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
Standards:
Favorites
(7)
Resources
(12)
Reflections
(1)
Practice Solving Systems Algebraically
Algebra I »
Unit: Systems of Equations
Algebra I »
Unit: Systems of Equations
Big Idea:
This lesson allows students to "prove" why the elimination method for systems of equations gives a viable solution.
Favorites
(2)
Resources
(9)
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