HSA-REI.C.7
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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.7
Solve 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.
14 Lesson(s)
Non-Linear Systems of Equations
12th Grade Math »
Unit: Conic Sections
12th Grade Math »
Unit: Conic Sections
Big Idea:
Students model their solutions to non-linear systems in multiple ways.
Standards:
Favorites
(1)
Resources
(17)
Use The TI-Nspire CX To Solve a System of Equations
Algebra I »
Unit: Systems of Equations
Algebra I »
Unit: Systems of Equations
Big Idea:
Graphing technology is used to reinforce understanding of concepts and methods for solving systems of equations
Standards:
Favorites
(3)
Resources
(14)
Reflections
(1)
Solve systems of linear and quadratic functions algebraically
8th Grade Math »
Unit: QUADRATIC FUNCTIONS
8th Grade Math »
Unit: QUADRATIC FUNCTIONS
Big Idea:
Use substitution and "making zeroes" to solve systems of linear and quadratic functions algebraically.
Standards:
Favorites
(1)
Resources
(12)
Unit Assessment on Quadratic Functions
8th Grade Math »
Unit: QUADRATIC FUNCTIONS
8th Grade Math »
Unit: QUADRATIC FUNCTIONS
Big Idea:
Assess and analyze! Understand if your kids truly mastered this unit on quadratic functions.
Standards:
Favorites
(2)
Resources
(12)
Reflections
(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
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)
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)
Systems of Equations Day 2 of 2
Algebra II »
Unit: Modeling with Functions
Algebra II »
Unit: Modeling with Functions
Big Idea:
Engage students with Math Practice 5 (Use appropriate tools strategically) in this lesson on systems of equations.
Standards:
Resources
(18)
Solving Quadratic Equations
Algebra II »
Unit: Polynomial Functions and Expressions
Algebra II »
Unit: Polynomial Functions and Expressions
Big Idea:
Its important to be flexible in solving quadratic equations. Some equations lend themselves to factoring or completing the square while others are best tackled with the Quadratic Formula.
Standards:
Favorites
(8)
Resources
(17)
Reflections
(1)
Modeling Systems of Equations
Algebra II »
Unit: Modeling with Functions
Algebra II »
Unit: Modeling with Functions
Big Idea:
Turn the tables and have the students become the experts in this modeling systems of equations supporting Common Core transition lesson.
Standards:
Favorites
(1)
Resources
(22)
Reflections
(1)
Solving Non-linear Systems of Equations
Algebra I »
Unit: Making Informed Decisions with Systems of Equations
Algebra I »
Unit: Making Informed Decisions with Systems of Equations
Big Idea:
Students create and interpret non-linear systems of equations and use technology to find and understand the solution(s)!
Standards:
Favorites
(2)
Resources
(19)
Reflections
(2)
Connecting Quadratic Functions and Quadratic Equations
Algebra II »
Unit: Polynomial Functions and Expressions
Algebra II »
Unit: Polynomial Functions and Expressions
Big Idea:
We can use the graph or algebraic methods to determine the x-intercepts of a quadratic function. The x-intercepts can be rational or irrational.
Standards:
Favorites
(3)
Resources
(22)
Reflections
(1)
Big Idea:
Reviewing for that comprehensive semester exam can be intimidating and overwhelming...so here's some tips to help.
Standards:
Resources
(10)
Solving trigonometric equations with graphs
12th Grade Math »
Unit: Solving Equations
12th Grade Math »
Unit: Solving Equations
Big Idea:
Knowing the appearance of the graph of a trigonometric equation helps determine the number of solutions a trigonometric equation will have over a given interval.
Standards:
Resources
(12)
Reflections
(1)
Common Core Math
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
Middle School
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
Middle School