MA19.8A.15

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.15
Represent constraints by equations and/or inequalities, and solve systems of equations and/or inequalities, interpreting solutions as viable or nonviable options in a modeling context. Limit to contexts arising from linear, quadratic, exponential, absolute value, and linear piecewise functions. [Algebra I with Probability, 13]

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

Constraints
System of equations
System of inequalities
Solutions
Feasible region
viable and non
viable options
linear
quadratic
Exponential
Absolute value
linear piecewise
Profit
Boundary
Closed half plane
Open half plane
Half plane
Consistent
Inconsistent
Dependent
Independent
Region

Design by Adaptive Theme