Lesson Plan

Identify physical constraints and objectives in a design problem and translate them into geometric equations or inequalities

Use geometric formulas (area, volume, surface area) to set up and solve optimization problems such as minimizing material for a given capacity

Apply the modeling cycle (define constraints, set up equations, explore solutions, optimize, interpret) to geometric design problems

Analyze design trade-offs where improving one geometric property (e.g., volume) affects another (e.g., surface area or cost)

Solve design problems involving typographic grid systems, packaging, architectural constraints, and material optimization

HSG.MG.A.3

HSG.MG.A.3: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).