ALEX Classroom Resource

  

Solving Systems of Equations by Elimination

  Classroom Resource Information  

Title:

 Solving Systems of Equations by Elimination

URL:

 https://www.youtube.com/watch?v=vA-55wZtLeE

Content Source:

 Other
Khan Academy
Type: Audio/Video

Overview:

In this video from Khan Academy, students learn about solving systems of equations by elimination. This video can be used during a lesson on solving systems of equations. The video is 12 minutes and 43 seconds in length and can be assigned through Google Classroom. 

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 9-12
Algebra I with Probability
10. Select an appropriate method to solve a system of two linear equations in two variables.

a. Solve a system of two equations in two variables by using linear combinations; contrast situations in which use of linear combinations is more efficient with those in which substitution is more efficient.

b. Contrast solutions to a system of two linear equations in two variables produced by algebraic methods with graphical and tabular methods.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Choose an appropriate method for solving a system of two linear equations (e.g., substitution, addition, tables, graphing).
  • Solve and justify solutions.
  • Contrast solutions to a system of two linear equations to determine which method is more efficient.
  • Understand that tables and graphs of systems of equations my produce estimates rather than exact solutions.
  • Provide reasonable approximations when appropriate in a graph or table.
Teacher Vocabulary:
  • Solution of a system of linear equations
  • Substitution method
  • Elimination method
  • Graphically solve
  • System of linear equations
  • Solving systems by addition
  • Tabular methods
Knowledge:
Students know:
  • Appropriate use of properties of addition, multiplication and equality.
  • Techniques for producing and interpreting graphs of linear equations.
  • Techniques for producing and interpreting tables of linear equations.
  • The conditions under which a system of linear equations has 0, 1, or infinitely many solutions.
Skills:
Students are able to:
  • Accurately perform the operations of multiplication and addition, and techniques for manipulating equations.
  • Graph linear equations precisely.
  • Create tables and locate solutions from the tables for systems of linear equations.
  • Use estimation to find approximate solutions on a graph.
  • Contrast solution methods and determine efficiency of a method for a given problem situation.
Understanding:
Students understand that:
  • The solution of a linear system is the set of all ordered pairs that satisfy both equations.
  • Solving a system by graphing or with tables can sometimes lead to approximate solutions.
  • A system of linear equations will have 0, 1, or infinitely many solutions.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
ALGI.10.1: Solve a system of equations using three methods (Substitution, Elimination, and Graphing.
ALGI.10.2: Distinguish the similarities and differences between the three methods of solving systems of equations.

Prior Knowledge Skills:
  • Solve a system of equation by graphing.
  • Solve a system of equation by elimination.
  • Solve a system of equation by substitution.
  • Understand the meaning of the solution to a system of equations.
  • Graph a linear equation.
Alabama Alternate Achievement Standards
AAS Standard:
M.A.AAS.11.9 Identify equivalent expressions given a linear expression using arithmetic operations.
Tags: linear equations, systems, systems of equations, two variables
License Type: Custom Permission Type
See Terms: https://www.khanacademy.org/about/tos
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
Partnered Event: ALEX Resource Development Summit
AccessibilityVideo resources: includes closed captioning or subtitles
Comments

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  This resource provided by:  
Author: YVETTE AKRIDGE
The event this resource created for:ALEX Resource Development Summit
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