Standard #: MA.8.A.1.4 (Archived Standard)


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Identify the solution to a system of linear equations using graphs.


Remarks


Remarks:  Students should recognize that intersecting lines yield a unique solution; parallel lines yield no solution; and coincidental lines yield an infinite number of solutions.  Students may use graphing technology to make observations about the effects of slope on the solution of systems of linear equations.

 

Example:  Use a graph of the following functions to determine a solution to the system of equations.

                        y = 5x + 3

                        y = 3x – 9 + 2x

 

Example:  Jan started with $25 and saved $5 each week. Bill started at the same time with no money and saved $10 per week. Use a graph to determine if or when Bill and Jan will have the same amount of money.



General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 8
Body of Knowledge: Algebra
Big Idea: BIG IDEA 1 - Analyze and represent linear functions, and solve linear equations and systems of linear equations.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Related Resources

Formative Assessment

Name Description
Solving Real-Life Problems: Baseball Jerseys This lesson unit is intended to help you assess how well students are able to:
  • Interpret a situation and represent the variables mathematically.
  • Select appropriate mathematical methods to use.
  • Explore the effects of systematically varying the constraints.
  • Interpret and evaluate the data generated and identify the break-even point, checking it for confirmation.
  • Communicate their reasoning clearly.
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