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
