MA19.A1.18

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

MA19.A1.18
Solve systems consisting of linear and/or quadratic equations in two variables graphically, using technology where appropriate.

Unpacked Content

Knowledge

Students know:

Appropriate use of properties of equality.
Techniques to solve quadratic equations.
The conditions under which a linear equation and a quadratic equation have 0, 1, or 2 solutions.
Techniques for producing and interpreting graphs of linear and quadratic equations.

Skills

Students are able to:

Accurately use properties of equality to solve a system of a linear and a quadratic equation.
Graph linear and quadratic equations precisely and interpret the results.

Understanding

Students understand that:

Solutions of a system of equations is the set of all ordered pairs that make both equations true simultaneously.
A system consisting of a linear equation and a quadratic equation will have 0,1, or 2 solutions.

Vocabulary

Solving systems of equations
System of equations
Substitution method
Elimination method
Cartesian plane

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