Learning Resource Type

Classroom Resource

Like Items

Subject Area

Mathematics

Grade(s)

8, 9, 10, 11, 12

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.

    Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

    MA19.A1.10

    Select an appropriate method to solve a system of two linear equations in two variables.

    Unpacked Content

    UP:MA19.A1.10

    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.
    Link to Resource

    CR Resource Type

    Audio/Video

    Resource Provider

    PBS
    Accessibility
    License

    License Type

    PD
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