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6.1 Graphing System of Equations

Standard(s):

  • A.REI.C.6: Solve systems of linear equations exactly and approximately (e.g., with graph), focusing on pairs of linear equations in two variables.
  • A.REI.D.11:Explain why the x-coordinates of the points where the graph of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.*

Essential Question:

  • How can I use Algebra to describe the relationship between sets of numbers?
  • In what ways can the problem be solved, and why should one method be chosen over another?


Learning Target:

  • I can graph the system of equations on coordinate axes with appropriate labels and scales.(Synthesis)
  • I can define systems of linear equations.(Knowledge)
  • I can define solutions of systems of equations.(Knowledge)
  • I can explain why some linear systems have no solutions.(Comprehension)
  • I can identify linear systems with no solutions.(Comprehension)
  • I can explain why some linear systems have infinite solutions.(Comprehension)
  • I can identify linear systems with infinite solutions.(Comprehension)
  • I can find an exact solution to a system of linear equation by graphing.(Knowledge)
  • I can explain that a point of intersection on the graph of a system of equations is the solution to both equations. (Comprehension)
  • I can explain why the intersection point(s) of two graphs represent common solutions to two equations.(Comprehension)
  • I can use technology to determine the solutions to a system of equations.(Application)


Warm-Up:
     
  • https://docs.google.com/document/d/1zFXo56dDFilTilHKvESuggCRwSwqSIecwprrdO9SJ34/edit?usp=sharing



Notes: 

Click on the image below for the PDF of the notes 6.1 Graphing System of Equations
  • https://drive.google.com/file/d/0B7PRmllaLVfFNGJZcGgzNU1oRUU/view?usp=sharing


Video:

Click below for the Classroom Lesson -  6.1 Graphing System of Equations
  • https://drive.google.com/file/d/0B7PRmllaLVfFMDh4cnBfTkVqcG8/view?usp=sharing

Watch this video on Graphing System of Equations


  • Embed gadget


Watch this video on Graphing System of Equations
  • Embed gadget



Activities:

Click on the image below for an activity -  Graphing System of Equations

Click on the image below for a Game - Graphing System of Equations
  • https://www.quia.com/cz/43456.html

Assessment/Homework:
pg. 336 11-23 odd
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