Quadratic Design Challenge for 9th Grade Math
A project-based activity for 9th graders in which students apply quadratic functions to optimize the design and safety of a real-world structure or path, such as a footbridge or a ball's flight. It builds skills in identifying vertices, axes of symmetry, zeros, and y-intercepts, along with modeling and explaining mathematical reasoning, and it includes directions, key-term definitions, and a rubric.
Teacher Guide & Tips
- Introduce the driving question at the start of a multi-day unit after students have graphed parabolas, and use the key terms section as a vocabulary warm-up before groups begin designing.
- Discussion question: How does moving the vertex change the safety or usefulness of a structure, and what trade-offs might a designer face?
- Scaffold for struggling readers: Provide a worked example converting a vertex-form equation into a graph with labeled vertex, axis of symmetry, and intercepts before students build their own model.
- Extension for advanced students: Ask them to compare two quadratic models for the same structure and justify which better meets a stated constraint, such as maximum height or minimum material.
- Estimated time: Plan roughly 3 to 5 class periods of 45 minutes, depending on how much time groups spend on modeling and the final presentation.
Quadratic Design Challenge for 9th Grade Math
A project-based activity for 9th graders in which students apply quadratic functions to optimize the design and safety of a real-world structure or path, such as a footbridge or a ball's flight. It builds skills in identifying vertices, axes of symmetry, zeros, and y-intercepts, along with modeling and explaining mathematical reasoning, and it includes directions, key-term definitions, and a rubric.
Teacher Guide & Tips
- Introduce the driving question at the start of a multi-day unit after students have graphed parabolas, and use the key terms section as a vocabulary warm-up before groups begin designing.
- Discussion question: How does moving the vertex change the safety or usefulness of a structure, and what trade-offs might a designer face?
- Scaffold for struggling readers: Provide a worked example converting a vertex-form equation into a graph with labeled vertex, axis of symmetry, and intercepts before students build their own model.
- Extension for advanced students: Ask them to compare two quadratic models for the same structure and justify which better meets a stated constraint, such as maximum height or minimum material.
- Estimated time: Plan roughly 3 to 5 class periods of 45 minutes, depending on how much time groups spend on modeling and the final presentation.