Systems of Inequalities and Feasible Regions
Solving systems of linear and non-linear inequalities to identify feasible regions for optimization.
About This Topic
Solving systems of linear and non-linear inequalities to identify feasible regions for optimization.
Key Questions
- Explain how the intersection of shaded regions represents the solution to a system of inequalities.
- Evaluate the vertices of a feasible region to determine optimal solutions in linear programming.
- Design a system of inequalities to represent a given set of resource constraints.
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Algebraic Foundations and Quadratics
Review of Algebraic Expressions and Operations
Revisiting fundamental algebraic operations including addition, subtraction, multiplication, and division of polynomials.
8 methodologies
Polynomial Arithmetic and Expansion
Mastering the distribution of terms and the factorization of complex expressions to simplify mathematical models.
8 methodologies
Factoring Polynomials: Advanced Techniques
Exploring various methods for factoring polynomials, including grouping, difference of squares, and sum/difference of cubes.
8 methodologies
Rational Expressions and Equations
Simplifying, multiplying, dividing, adding, and subtracting rational expressions, and solving rational equations.
8 methodologies
Introduction to Quadratic Functions
Defining quadratic functions and exploring their basic properties, including vertex, axis of symmetry, and intercepts.
8 methodologies
Quadratic Functions and Graphs
Analyzing the geometric properties of parabolas and their relationship to quadratic equations.
8 methodologies