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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<sup>2</sup> + y<sup>2</sup> = 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).

Non-Linear Systems of Equations

12th Grade Math

» Unit:

Conic Sections

Big Idea:Students model their solutions to non-linear systems in multiple ways.

Use The TI-Nspire CX To Solve a System 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

Solve systems of linear and quadratic functions algebraically

8th Grade Math

» Unit:

QUADRATIC FUNCTIONS

Big Idea:Use substitution and "making zeroes" to solve systems of linear and quadratic functions algebraically.

Unit Assessment on Quadratic Functions

8th Grade Math

» Unit:

QUADRATIC FUNCTIONS

Big Idea:Assess and analyze! Understand if your kids truly mastered this unit on quadratic functions.

Unit Test: Systems of Equations and Inequalities in 2 Variables

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!

Study Session for Unit Test on Systems of Equations and Inequalities in 2 Variables

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!

Solving Quadratic Equations

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.

Systems of Equations Day 2 of 2

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.

Modeling Systems of Equations

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.

Solving Non-linear 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)!

Connecting Quadratic Functions and Quadratic Equations

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.

Solving Systems of Equations

12th Grade Math

» Unit:

Matrices

Big Idea:Solving system of equations is used in calculus when find area between curves.

Review Day One

Algebra II

» Unit:

Semester 1 Review

Big Idea:Reviewing for that comprehensive semester exam can be intimidating and overwhelming...so here's some tips to help.

Solving trigonometric equations with graphs

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.

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.

HSA-REI.C.6

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

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.

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).