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Optimizing Pencils in a Tray
| Content Provider | TeachEngineering: STEM curriculum for K-12 |
|---|---|
| Author | Sullivan, Ryan Vadeen, Maia Vicksman, Andi Coyle, Nathan Anderson, Russell Zarske, Malinda |
| Copyright Year | 2016 |
| Description | Student groups work with manipulatives—pencils and trays—to maximize various quantities of a system. They work through three linear optimization problems, each with different constraints and construct mathematical arguments for why their solutions are the best ones before attempting to maximize a different quantity. Student groups work with manipulatives—pencils and trays—to maximize various quantities of a system. They work through three linear optimization problems, each with different constraints. After arriving at a solution, they construct mathematical arguments for why their solutions are the best ones before attempting to maximize a different quantity. To conclude, students think of real-world and engineering space optimization examples—a frequently encountered situation in which the limitation is the amount of space available. It is suggested that students conduct this activity before the associated lesson, Linear Programming, although either order is acceptable. |
| Language | English |
| Access Restriction | Open |
| Rights Holder | Regents of The University of Colorado |
| Subject Keyword | Algebra Geometry Problem Solving Maximizing Best Solution Optimizing Design Solutions Linear Optimization Linear Programming Optimize Optimization Space Optimization Constraint One-dimensional Fitting |
| Content Type | Text |
| Time Required | PT1H |
| Education Level | Class VIII Class IX Class X |
| Pedagogy | Experimental Activity |
| Resource Type | Hands-on |
| Subject | Modern Physics Geometry |
