Hurricane Resilient Home: A Math Project
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we design and budget for a two-bedroom, hurricane-resistant home, integrating geometric shapes and scaled blueprints to meet structural requirements while optimizing material usage and cost?Essential Questions
Supporting questions that break down major concepts.- How can we represent the relationship between the dimensions of the house and the amount of materials needed using linear equations?
- How do ratios help us in scaling the blueprint of the house while maintaining structural integrity?
- What geometric shapes are most resistant to hurricane forces, and how can we incorporate them into our house design?
- How can we optimize the design of the house to withstand hurricane-force winds while staying within a budget?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Apply linear equations to determine material needs based on house dimensions
- Use ratios to accurately scale house blueprints while maintaining structural integrity
- Incorporate hurricane-resistant geometric shapes into house design
- Optimize house design to withstand hurricane-force winds within a set budget
Entry Events
Events that will be used to introduce the project to studentsHurricane Aftermath
**Category 6 Challenge:** Students are presented with a 'before' video of a neighborhood devastated by a fictional Category 6 hurricane, followed by a 'news report' detailing the massive rebuilding effort. The news report highlights the need for cost-effective, hurricane-resistant housing and challenges students to design and budget for such a home, sparking immediate interest in the project's real-world application.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.Material Estimation Equations
Students will learn to calculate the area and perimeter of basic shapes (rectangles, triangles) to estimate the amount of materials needed for flooring, walls, and roofing. They will then formulate linear equations to represent the relationship between the dimensions of these shapes and the quantity of materials required.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA detailed inventory list with quantities of materials (wood, roofing, flooring) needed based on initial house dimensions, accompanied by linear equations showing the calculations.Alignment
How this activity aligns with the learning objectives & standardsLearning Goal: Apply linear equations to determine material needs based on house dimensions.Blueprint Scaling Ratios
Students will use ratios to scale the initial house dimensions down to blueprint size. This activity focuses on maintaining accurate proportions to ensure the scaled blueprint accurately represents the actual house design and structural integrity.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA scaled blueprint of the house with accurate dimensions and a clear ratio indicated (e.g., 1 inch = 5 feet).Alignment
How this activity aligns with the learning objectives & standardsLearning Goal: Use ratios to accurately scale house blueprints while maintaining structural integrity.Geometric Shape Wind Resistance
Students will research geometric shapes known for their hurricane resistance (e.g., domes, hexagons) and incorporate them into their house design. They will analyze how these shapes can deflect wind forces and provide structural stability.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA revised house design incorporating hurricane-resistant geometric shapes, along with a written justification explaining the choice of shapes and their benefits in withstanding hurricane forces.Alignment
How this activity aligns with the learning objectives & standardsLearning Goal: Incorporate hurricane-resistant geometric shapes into house design.Budget-Conscious Hurricane Optimization
Students will refine their house design based on budget constraints and hurricane resistance considerations. They will explore different materials, construction techniques, and design modifications to optimize cost-effectiveness without compromising structural integrity.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA final house design with a detailed budget, justifying all material choices and construction techniques in terms of cost and hurricane resistance.Alignment
How this activity aligns with the learning objectives & standardsLearning Goal: Optimize house design to withstand hurricane-force winds within a set budget.Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioHurricane-Resilient Home Design Rubric
Material Estimation and Equations
Assesses the student's ability to accurately calculate material needs and represent these needs using linear equations.Calculation Accuracy
Accuracy of area calculations and material quantity estimation
Exemplary
4 PointsCalculations are accurate and precise, demonstrating a deep understanding of area and perimeter formulas. Material estimations are thoroughly justified and highly accurate.
Proficient
3 PointsCalculations are mostly accurate with minor errors. Material estimations are generally accurate and justified.
Developing
2 PointsCalculations contain some errors, indicating a partial understanding of area and perimeter formulas. Material estimations are inconsistent.
Beginning
1 PointsCalculations are inaccurate and show a limited understanding of area and perimeter formulas. Material estimations are poorly justified or missing.
Equation Formulation
Clarity and correctness of linear equations representing the relationship between dimensions and material quantity.
Exemplary
4 PointsLinear equations are clearly and correctly formulated, demonstrating a sophisticated understanding of their application in material estimation. Equations are well-explained and justified.
Proficient
3 PointsLinear equations are mostly correct and clearly presented. The relationship between dimensions and material quantity is generally well-represented.
Developing
2 PointsLinear equations contain errors or are unclear, indicating a partial understanding of their application. The relationship is not consistently represented.
Beginning
1 PointsLinear equations are incorrect or missing, showing a limited understanding of their application. The relationship is poorly represented or absent.
Inventory Completeness
Completeness and organization of the material inventory list.
Exemplary
4 PointsThe material inventory list is exceptionally complete, well-organized, and easy to understand. It includes all necessary materials and quantities with clear units.
Proficient
3 PointsThe material inventory list is complete and well-organized. It includes most necessary materials and quantities with clear units.
Developing
2 PointsThe material inventory list is incomplete or poorly organized. Some materials or quantities are missing or unclear.
Beginning
1 PointsThe material inventory list is very incomplete and poorly organized. Many materials or quantities are missing or unclear.
Blueprint Scaling and Accuracy
Evaluates the student's ability to accurately scale house dimensions for a blueprint using appropriate ratios.Scale Ratio Appropriateness
Selection of an appropriate and clearly stated scale ratio.
Exemplary
4 PointsThe scale ratio is exceptionally appropriate for the blueprint size and clearly stated. Justification for the chosen ratio is insightful and demonstrates a deep understanding.
Proficient
3 PointsThe scale ratio is appropriate for the blueprint size and clearly stated. Justification for the chosen ratio is reasonable.
Developing
2 PointsThe scale ratio is somewhat appropriate, but the reasoning is weak or unclear. The rationale behind ratio choice may be missing.
Beginning
1 PointsThe scale ratio is inappropriate for the blueprint size or is not clearly stated. There is no justification for the chosen ratio.
Dimensional Accuracy
Accuracy of converting actual house dimensions to scaled dimensions using the chosen ratio.
Exemplary
4 PointsConversions are flawlessly accurate, demonstrating a comprehensive understanding of ratios and proportions.
Proficient
3 PointsConversions are accurate with only minor errors, showing a good understanding of ratios and proportions.
Developing
2 PointsConversions contain some errors, indicating a partial understanding of ratios and proportions.
Beginning
1 PointsConversions are inaccurate and show a limited understanding of ratios and proportions.
Blueprint Quality
Overall quality and clarity of the scaled blueprint.
Exemplary
4 PointsThe blueprint is exceptionally clear, detailed, and professionally presented. It accurately represents all aspects of the house design and includes all necessary dimensions.
Proficient
3 PointsThe blueprint is clear, detailed, and accurately represents the house design. It includes most necessary dimensions.
Developing
2 PointsThe blueprint is somewhat unclear or lacks detail. Some dimensions are missing or inaccurate.
Beginning
1 PointsThe blueprint is unclear, lacks detail, and contains significant inaccuracies. Many dimensions are missing or incorrect.
Geometric Shapes and Wind Resistance
Assesses the student's ability to research and incorporate hurricane-resistant geometric shapes into their house design, justifying their choices with sound reasoning.Research Quality
Thoroughness and relevance of research on hurricane-resistant geometric shapes.
Exemplary
4 PointsResearch is exceptionally thorough and relevant, demonstrating a deep understanding of the structural properties of various geometric shapes. Examples are well-chosen and insightful.
Proficient
3 PointsResearch is thorough and relevant, demonstrating a good understanding of the structural properties of geometric shapes. Examples are well-chosen.
Developing
2 PointsResearch is somewhat limited or lacks relevance. Understanding of structural properties is partial. Examples are not always appropriate.
Beginning
1 PointsResearch is minimal or irrelevant. There is little to no understanding of the structural properties of geometric shapes. Examples are missing or inappropriate.
Design Integration
Effectiveness of incorporating hurricane-resistant shapes into the house design.
Exemplary
4 PointsThe incorporation of hurricane-resistant shapes is exceptionally effective and seamlessly integrated into the overall design. Shapes are used innovatively to maximize wind resistance.
Proficient
3 PointsThe incorporation of hurricane-resistant shapes is effective and well-integrated into the design. Shapes are used appropriately to enhance wind resistance.
Developing
2 PointsThe incorporation of hurricane-resistant shapes is partially effective or awkwardly integrated. The impact on wind resistance is not always clear.
Beginning
1 PointsThe incorporation of hurricane-resistant shapes is ineffective or poorly integrated. There is little to no impact on wind resistance.
Justification Clarity
Clarity and strength of the written justification for shape choices and their benefits.
Exemplary
4 PointsThe written justification is exceptionally clear, concise, and persuasive. It thoroughly explains the benefits of the chosen shapes with strong evidence and reasoning.
Proficient
3 PointsThe written justification is clear and explains the benefits of the chosen shapes with reasonable evidence and reasoning.
Developing
2 PointsThe written justification is somewhat unclear or incomplete. The explanation of benefits is weak or lacks sufficient evidence.
Beginning
1 PointsThe written justification is unclear, incomplete, or missing. There is little to no explanation of the benefits of the chosen shapes.
Budget and Hurricane Optimization
Evaluates the student's ability to optimize their house design for hurricane resistance within a set budget, justifying material choices and construction techniques.Budget Realism
Realism and justification of the established budget.
Exemplary
4 PointsThe budget is exceptionally realistic and well-justified, demonstrating a deep understanding of construction costs and material pricing. Consideration of various factors is comprehensive.
Proficient
3 PointsThe budget is realistic and well-justified, demonstrating a good understanding of construction costs and material pricing. Consideration of various factors is present.
Developing
2 PointsThe budget is somewhat unrealistic or lacks sufficient justification. Understanding of construction costs is partial. Some factors may be missing.
Beginning
1 PointsThe budget is unrealistic and poorly justified. There is little to no understanding of construction costs or material pricing. Many factors are missing.
Design Optimization
Effectiveness of cost-effective materials and construction techniques to optimize design.
Exemplary
4 PointsMaterials and techniques are exceptionally cost-effective and innovatively used to optimize the design without compromising structural integrity. The design is highly efficient.
Proficient
3 PointsMaterials and techniques are cost-effective and effectively used to optimize the design without compromising structural integrity. The design is efficient.
Developing
2 PointsMaterials and techniques are somewhat cost-effective, but the impact on design optimization is limited. Structural integrity may be partially compromised.
Beginning
1 PointsMaterials and techniques are not cost-effective, and the design is not optimized. Structural integrity is significantly compromised.
Justification of Material Choices
Strength and detail of justification for material choices and construction techniques in terms of cost and hurricane resistance.
Exemplary
4 PointsThe justification is exceptionally strong and detailed, providing comprehensive evidence and reasoning for all material choices and techniques. The balance between cost and hurricane resistance is expertly addressed.
Proficient
3 PointsThe justification is strong and detailed, providing clear evidence and reasoning for most material choices and techniques. The balance between cost and hurricane resistance is well-addressed.
Developing
2 PointsThe justification is somewhat weak or lacks detail. Evidence and reasoning are limited. The balance between cost and hurricane resistance is not consistently addressed.
Beginning
1 PointsThe justification is weak, lacks detail, or is missing. There is little to no evidence or reasoning to support material choices and techniques. The balance between cost and hurricane resistance is poorly addressed or ignored.