ALEX Classroom Resource

  

Like Items

  Classroom Resource Information  

Title:

 Like Items

URL:

 https://aptv.pbslearningmedia.org/resource/rr10.math.algebra.equ.likeitem/like-items/

Content Source:

 PBS
Type: Audio/Video

Overview:

After their carts collide in a hardware store, two teachers discover that they both bought the same items in different quantities. With limited information, this video demonstrates how to use an equation to determine the cost of each item. Regents Review materials are designed to help high school students prepare for New York State's Regents exams.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 8
Accelerated
12. 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. [Algebra I with Probability, 10]
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Use elimination to solve a system of linear equations.
  • Select an appropriate method (graphical, tabular, substitution, or elimination) for solving a system of linear equations.
  • Decide when substitution is a more efficient method than elimination and vice versa.
  • Contrast solutions produced algebraically with those produced using a table or graph.
  • Provide reasonable approximations when appropriate in a graph or table.
Teacher Vocabulary:
  • Elimination
  • Substitution
  • Graph
  • Table
  • Solution to a system of linear equations
Knowledge:
Students know:
  • Algebraic techniques for manipulating and solving equations.
Skills:
Students are able to:
  • graph a system of linear equations.
  • Generate a table from an equation.
  • Find the solution to a system by graphing, completing a table, substitution, and elimination.
  • Justify which method they used.
Understanding:
Students understand that:
  • When the properties of operations and equality are applied to systems of equations, the resulting equations have the same solution as the original.
Diverse Learning Needs:
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: elimination, substitution, systems of equations
License Type: Public Domain
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
Accessibility
Comments

This resource can be used as a before activity to stimulate student interest in the subject matter.

  This resource provided by:  
Author: Kristy Lacks
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