MA19.A1.10

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

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.

Vocabulary

Solution of a system of linear equations
Substitution method
Elimination method
Graphically solve
System of linear equations
Solving systems by addition
Tabular methods

Aligned Learning Resources

Solving Systems of Equations by Elimination

Solving Linear Systems by Graphing

Systems of Equations

Solutions to Systems of Linear Equations

Systems of Two Linear Equations

Card Sort: Linear Systems

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