Tiny Home Design Challenge: Maximize Space
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we design a functional and aesthetically pleasing tiny home that maximizes space and minimizes cost, while adhering to specific area, volume, and surface area constraints?Essential Questions
Supporting questions that break down major concepts.- How do area, volume, and surface area relate to real-world design and construction?
- How can we optimize space within specific constraints?
- What mathematical principles guide efficient design in a tiny home?
- How do different geometric shapes impact the overall functionality and aesthetics of a tiny home?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Apply geometric formulas to calculate area, volume, and surface area of 2D and 3D shapes.
- Design a tiny home model that adheres to area, volume, and surface area constraints.
- Optimize the use of space within a tiny home design.
- Solve real-world problems related to architectural design and space management.
- Create a functional and aesthetically pleasing tiny home design.
Common Core Standards
Entry Events
Events that will be used to introduce the project to studentsThe "Unlivable" Challenge
Present students with blueprints of an oddly-shaped, seemingly unlivable tiny home design. Challenge them to identify what makes it 'unlivable' from a spatial perspective, sparking curiosity about efficient design.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.3D Shape Exploration: Volume & Surface Area
Students explore 3D shapes (cubes, right prisms) and their properties to understand volume and surface area. Hands-on activities will help visualize these concepts.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityPhysical models of cubes and right prisms with calculated volume and surface area labeled on each model. A short paragraph explaining the relationship between dimensions, volume, and surface area.Alignment
How this activity aligns with the learning objectives & standardsDirectly aligns with CCSS.Math.Content.7.G.B.6 by focusing on volume and surface area calculations of cubes and right prisms.Tiny Home Blueprint Design: Initial Layout
Students begin designing their tiny home blueprints, focusing on the floor plan and calculating the area of each room and the total area of the home. This will require them to apply the skills learned in the previous activities.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 floor plan blueprint with dimensions labeled for each room and calculated areas for each room and the total home area.Alignment
How this activity aligns with the learning objectives & standardsApplies CCSS.Math.Content.7.G.B.6 to a real-world problem, requiring students to calculate the area of a complex shape (the tiny home floor plan) composed of multiple rooms.Tiny Home Model Construction & Optimization
Students create a 3D model of their tiny home based on their blueprint. They will calculate the volume and surface area of their design and explore ways to optimize space and minimize material usage within given constraints.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 physical 3D model of the tiny home with labeled dimensions, calculated volume and surface area, and a written reflection on the design optimization process, including justifications for design choices.Alignment
How this activity aligns with the learning objectives & standardsFully addresses CCSS.Math.Content.7.G.B.6 by requiring students to solve real-world problems involving area, volume, and surface area of a three-dimensional object (the tiny home) composed of various geometric shapes. The optimization aspect encourages critical thinking and problem-solving skills.Combining Shapes: Complex Area & Volume
Students will learn to calculate the area and volume of complex shapes composed of multiple basic shapes, which is essential for designing realistic tiny home structures.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 worksheet with diagrams of complex 2D and 3D shapes, showing the deconstruction into basic shapes, individual area/volume calculations, and the final total area/volume.Alignment
How this activity aligns with the learning objectives & standardsContinues to address CCSS.Math.Content.7.G.B.6 by applying area and volume calculations to objects composed of multiple shapes.Area & Perimeter Blueprint Basics
Students will start by reviewing and applying area and perimeter formulas to basic 2D shapes commonly found in home blueprints (rectangles, squares, triangles). This reinforces foundational skills before moving to complex shapes.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 worksheet with completed area and perimeter calculations and sketches of simple room layouts with labeled dimensions and calculations.Alignment
How this activity aligns with the learning objectives & standardsAddresses CCSS.Math.Content.7.G.B.6 by focusing on area calculations of quadrilaterals and triangles, which are foundational to understanding more complex shapes.Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioTiny Home Design Challenge Portfolio Rubric
Mathematical Accuracy
Focuses on the correctness of area, volume, and surface area calculations throughout the project.Calculations
Accuracy of area, volume, and surface area calculations for individual shapes and the overall tiny home design.
Exemplary
4 PointsAll calculations are accurate and clearly demonstrated with correct units. Shows sophisticated understanding of formulas and their application.
Proficient
3 PointsMost calculations are accurate with minor errors. Demonstrates a good understanding of formulas and their application.
Developing
2 PointsSome calculations are accurate, but there are noticeable errors. Shows an emerging understanding of formulas but struggles with application.
Beginning
1 PointsCalculations are largely inaccurate with significant errors. Demonstrates a limited understanding of formulas and their application.
Design and Optimization
Evaluates the functionality and aesthetics of the tiny home design, as well as the student's ability to optimize space and minimize material usage.Space Optimization
Effective use of space within the tiny home design, considering functionality and aesthetics.
Exemplary
4 PointsDesign demonstrates innovative space optimization, maximizing functionality and aesthetics while adhering to constraints. Provides a comprehensive justification for design choices.
Proficient
3 PointsDesign demonstrates effective space optimization, balancing functionality and aesthetics. Provides a clear justification for design choices.
Developing
2 PointsDesign shows some attempt at space optimization, but functionality or aesthetics may be compromised. Provides a limited justification for design choices.
Beginning
1 PointsDesign demonstrates minimal space optimization, with significant compromises in functionality or aesthetics. Provides an insufficient justification for design choices.
Aesthetic Appeal
How visually pleasing and well-thought-out the tiny home design is.
Exemplary
4 PointsThe design is exceptionally creative, visually appealing, and reflects a deep understanding of design principles. Demonstrates innovative solutions and attention to detail.
Proficient
3 PointsThe design is visually appealing, well-organized, and reflects a good understanding of design principles. Demonstrates thoughtful solutions and attention to detail.
Developing
2 PointsThe design is somewhat visually appealing, but may lack organization or attention to detail. Shows a basic understanding of design principles.
Beginning
1 PointsThe design lacks visual appeal and demonstrates little attention to detail. Shows a limited understanding of design principles.
Process and Reflection
Evaluates the student's ability to document their design process, reflect on their choices, and identify areas for improvement.Design Process Documentation
Clarity and completeness of documenting the design process, including initial sketches, calculations, and iterations.
Exemplary
4 PointsThe design process is meticulously documented with clear sketches, detailed calculations, and thorough explanations of design iterations and rationale. Demonstrates a sophisticated understanding of the iterative design process.
Proficient
3 PointsThe design process is well-documented with clear sketches, calculations, and explanations of design iterations and rationale. Demonstrates a good understanding of the iterative design process.
Developing
2 PointsThe design process is partially documented, but may lack detail in sketches, calculations, or explanations of design iterations. Shows an emerging understanding of the iterative design process.
Beginning
1 PointsThe design process is poorly documented with missing sketches, incomplete calculations, and a lack of explanations. Demonstrates a limited understanding of the iterative design process.
Reflection and Justification
Thoughtful reflection on design choices, including justifications for decisions and identification of potential improvements.
Exemplary
4 PointsProvides a insightful reflection on design choices, offering compelling justifications for decisions and identifying innovative potential improvements. Demonstrates a sophisticated understanding of design trade-offs.
Proficient
3 PointsProvides a thoughtful reflection on design choices, offering clear justifications for decisions and identifying potential improvements. Demonstrates a good understanding of design trade-offs.
Developing
2 PointsProvides a basic reflection on design choices, but justifications may be weak or lack clarity. Identifies some potential improvements. Shows an emerging understanding of design trade-offs.
Beginning
1 PointsProvides a limited reflection on design choices with minimal justification. Struggles to identify potential improvements. Demonstrates a limited understanding of design trade-offs.