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The Barn Wall Pen
Created by Argraide
Updated September 26th, 2026
At a glance
- Play mode
- 📺 Presenter
- Format
- 🧊 3D
- Length
- ⏱ 30 minutes or more
- Subject
- Math
- Grade
- 11
- Curriculum
- Ontario
- Curriculum codes
- A2.3A2.4A1.4
About this activity
Model rectangular pasture enclosures against a barn wall as quadratic functions, complete the square to locate vertex optima, and evaluate restricted domain boundaries.
What students learn
- Model area as a quadratic function of one dimension given fixed perimeter fencing constraints
- Transform quadratic equations from standard to vertex form by completing the square
- Interpret the vertex (h, k) as the optimal physical width and maximum achievable area
- Analyze domain restrictions when barn wall lengths constrain the feasible dimensions
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