Lesson 4: Systems of Inequalities
Duration of Days: 5
Lesson Objective
Students will be able to solve systems of linear inequalities by identifying the overlapping regions on a graph and apply these skills to model and justify solutions.
Why is the "overlapping" shaded area the only part of the graph that satisfies a system of inequalities?
How do we use a system of inequalities to find all possible solutions when a real-life problem has more than one limit or rule?
System of Inequalitie
Intersection
Feasible Region
Overlap
Justification
HSA.REI.D.12: Graph the solution set to a system of linear inequalities as the intersection of corresponding half-planes.
MP.3 Construct viable arguments: Justify the chosen solution region to others.
Description: This lesson combines the visual skill of graphing multiple inequalities with the high-level application of modeling.
Purpose: To synthesize all unit skills (graphing, vocabulary, and word problems) into a final demonstration of how math is used to solve complex, multi-constraint problems.
DOK Level: 4 (Extended Thinking)
Incomplete Shading
Forgetting that in real-world tasks, x and y often cannot be negative.
Color Coding
Modified graphs (Partially completed)
Exit Ticket
Performance Task