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Learning Goal
Part of: Apply geometric concepts in modeling situations — 3 of 3 cluster items
Apply geometry to design problems
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).
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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).
What you'll learn
- 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
Prerequisites
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback