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 x2 + y2 = 3.

 
14 Lesson(s)
   

Non-Linear Systems of Equations

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

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

 
Favorites (1)
 
Resources (17)
nonlinear system image
   

Use The TI-Nspire CX To Solve a System of Equations

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

Graphing technology is used to reinforce understanding of concepts and methods for solving systems of equations

 
Favorites (3)
 
Resources (14)
 
Reflections (1)
intersection
   

Solve systems of linear and quadratic functions algebraically

8th Grade Math » Unit: QUADRATIC FUNCTIONS
8th Grade Math » Unit: QUADRATIC FUNCTIONS
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

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

 
Favorites (1)
 
Resources (12)
system solutions possibilities image
   

Unit Assessment on Quadratic Functions

8th Grade Math » Unit: QUADRATIC FUNCTIONS
8th Grade Math » Unit: QUADRATIC FUNCTIONS
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

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

 
Favorites (2)
 
Resources (12)
 
Reflections (2)
qa unit assessment resized
   

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
   

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
   

Solving Quadratic Equations

Algebra II » Unit: Polynomial Functions and Expressions
Algebra II » Unit: Polynomial Functions and Expressions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
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.

 
Favorites (7)
 
Resources (17)
 
Reflections (1)
solving quadratic equation
   

Systems of Equations Day 2 of 2

Algebra II » Unit: Modeling with Functions
Algebra II » Unit: Modeling with Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Engage students with Math Practice 5 (Use appropriate tools strategically) in this lesson on systems of equations.

 
Resources (18)
image systems of equations
   

Modeling Systems of Equations

Algebra II » Unit: Modeling with Functions
Algebra II » Unit: Modeling with Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Turn the tables and have the students become the experts in this modeling systems of equations supporting Common Core transition lesson.

 
Favorites (1)
 
Resources (22)
 
Reflections (1)
image systems of equations
   

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
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students create and interpret non-linear systems of equations and use technology to find and understand the solution(s)!

 
Favorites (2)
 
Resources (19)
 
Reflections (2)
exit ticket non linear systems pic
   

Connecting Quadratic Functions and Quadratic Equations

Algebra II » Unit: Polynomial Functions and Expressions
Algebra II » Unit: Polynomial Functions and Expressions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
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.

 
Favorites (3)
 
Resources (22)
 
Reflections (1)
image of x intercept
   

Solving Systems of Equations

12th Grade Math » Unit: Matrices
12th Grade Math » Unit: Matrices
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

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

 
Resources (20)
 
Reflections (2)
system picture
   

Review Day One

Algebra II » Unit: Semester 1 Review
Algebra II » Unit: Semester 1 Review
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

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

 
Resources (10)
review2
   

Solving trigonometric equations with graphs

12th Grade Math » Unit: Solving Equations
12th Grade Math » Unit: Solving Equations
Katharine Sparks
Independence, MO
Environment: Suburban
 
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.

 
Resources (12)
 
Reflections (1)
graphing equations
Common Core Math
 
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