Unpacked Content
Knowledge
Students know:
- When a particular system of two variable equations or inequalities accurately models the situation presented in a contextual problem.
- Which points in the solution of a system of linear inequalities need to be tested to maximize or minimize the variable of interest.
Skills
Students are able to:
- Graph equations and inequalities involving two variables on coordinate axes.
- Identify the region that satisfies both inequalities in a system.
- Identify the point(s) that maximizes or minimizes the variable of interest in a system of inequalities.
- Test a mathematical model using equations, inequalities, or a system against the constraints in the context and interpret the solution in this context.
Understanding
Students understand that:
- A symbolic representation of relevant features of a real-world problem can provide for resolution of the problem and interpretation of the situation and solution.
- Representing a physical situation with a mathematical model requires consideration of the accuracy and limitations of the model.
Vocabulary
- Constraint
- System of equations
- System of inequalities
- Profit
- Boundary
- Closed half plane
- Open half plane
- Half plane
- Consistent
- Inconsistent
- Dependent
- Independent
- Region
