Public learning track
Two-Variable Linear Inequalities and Feasible Regions in Optimization
9th Grade · Math · Open Global Math
8 lessons
Goal
Graph linear inequalities in two variables as half-planes, identify polygonal feasible regions for systems of linear inequalities, and interpret constraints and viable solutions in modeling contexts.
Featured Diagrams
Graphing Linear Inequalities in Two Variables
8 lessons
0 of 8 done
- 1Graphing Linear Inequalities in Two VariablesUp nextStart
- 2Writing Linear Inequalities in Two Variables from Given Half-PlanesPremiumNot started yet
- 3Systems of Linear Inequalities: Graphing the Solution RegionNot started yet
- 4Graphing Systems with Three or More InequalitiesNot started yet
- 5Finding Vertices of Polygonal Feasible Regions AlgebraicallyNot started yet
- 6Modeling Resource Constraints with Systems of Linear InequalitiesNot started yet
- 7Evaluating Objective Functions at Feasible Region VerticesNot started yet
- 8Quadratic Inequalities: Graphing Solution Regions in Two VariablesNot started yet
Curriculum Framework
9th Grade · Math · Open Global Math
1
11 lessons
Linear Equations, Literal Formulas, and Single-Variable Inequalities
Solve multi-step linear equations and inequalities with numerical and literal coefficients, justify each algebraic transformation, and rearrange scientific formulas for specified variables.
2
7 lessons
Quadratic Equations: Factoring, Square Roots, and Completing the Square
Solve quadratic equations using the zero-product property, square root extraction, and completing the square for monic and non-monic quadratics.
3
8 lessons
The Quadratic Formula, Discriminant Analysis, and Vieta's Relations
Solve any quadratic equation using the quadratic formula, analyze root types and multiplicities using the discriminant, and relate roots to coefficients using Vieta's formulas.
4
10 lessons
Radical, Rational, and Absolute Value Equations and Inequalities
Solve simple rational, radical, and absolute value equations and inequalities in one variable, and identify extraneous solutions introduced by algebraic operations.
5
9 lessons
Systems of Linear Equations in Two and Three Variables
Solve systems of linear equations in two and three variables using graphing, substitution, and elimination, and prove equivalence under linear combinations.
6
7 lessons
Matrix Methods and Gaussian Elimination for Linear Systems
Solve systems of linear equations using augmented matrices, row echelon transformations (Gaussian elimination), and matrix inverses (AX = B).
7
7 lessons
Non-Linear and Linear-Quadratic Systems of Equations
Solve systems involving linear, quadratic, and circular equations in two variables algebraically and graphically, and interpret points of intersection.
8
8 lessons
Two-Variable Linear Inequalities and Feasible Regions in Optimization
Graph linear inequalities in two variables as half-planes, identify polygonal feasible regions for systems of linear inequalities, and interpret constraints and viable solutions in modeling contexts.