Chapter 6‎ > ‎

6.2 Solving System of Equations by Substitution

Standard(s):

  • A.REI.C.6: Solve systems of linear equations exactly and approximately (e.g., with grap), focusing on pairs of linear equations in two variables.


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 write the system of equations that best models the problem.(Synthesis)

  • I can interpret solutions in the context of the situation modeled and the scenario.(Evaluation)

  • 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 solve a system of linear equations algebraically to find an exact solution.(Application)

  • 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 use function notation to show that when f(x)=y and g(x)=y that f(x)=g(x).(Application)

  • I can explain that the value making f(x)=g(x) true is the x coordinate of the intersection point.(Comprehension)


Warm-Up:
     
  • https://docs.google.com/document/d/1uIUoYElsfb3fgZ44DTK8hGmD9xMDaTFtaFN8-olOV1Y/edit?usp=sharing


Notes: 

Click on the image below for the PDF of the notes 6.2 Solving System of Equations by Substitution
  • https://drive.google.com/file/d/0B7PRmllaLVfFcWsxZENqMEVDYlk/view?usp=sharing



Video:

Click below for the Classroom Lesson -  6.2 Solving System of Equations by Substitution
  • https://drive.google.com/file/d/0B7PRmllaLVfFZk9nNHYtRzEyT1k/view?usp=sharing


Watch this video on Solving System of Equations by Substitution
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Watch this video on Solving System of Equations by Substitution
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Activities:

Click on the image below for an activity
  • https://quizizz.com/join/

Click on the image below for an activity -  Solving System of Equations by Substitution

Click on the image below for a Game - Solving System of Equations by Substitution
  • http://www.mathgames.com/skill/8.67-solve-a-system-of-equations-using-substitution
Extra Help:
Click on the image below for help 
http://www.wolframalpha.com/

Assessment/Homework:
pg. 345 9-23 odd
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