Introduction to Linear Programming
Apply your knowledge of systems of inequalities to solve real-world optimization problems. Find the maximum or minimum value of a function given a set of constraints.
About This Topic
Apply your knowledge of systems of inequalities to solve real-world optimization problems. Find the maximum or minimum value of a function given a set of constraints.
Key Questions
- Explain the roles of the objective function and the constraints in a linear programming problem.
- Justify why the optimal solution to a linear programming problem must occur at a vertex of the feasible region.
- Analyze a real-world scenario to formulate it as a linear programming problem.
Active Learning Ideas
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Planning templates for Algebra II
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.
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