Design a Fantasy Sports Stadium
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Design a Fantasy Sports Stadium

Grade 7Math1 days
This project entails seventh-grade students designing a fantasy sports stadium by integrating mathematical principles and various geometric shapes. Students will use their knowledge of areas and volumes to construct a model stadium, focusing on seating arrangements, field layouts, and amenities while ensuring functional and aesthetic design. Through activities like virtual tours and hackathons, students will engage in real-world architecture challenges, applying their understanding of composite shapes and proportions to solve problems effectively.
Mathematical PrinciplesGeometric ShapesStadium DesignComposite FiguresProblem-SolvingArchitecture7th Grade Math
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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can mathematical principles be utilized to design an efficient and functional sports stadium by integrating various geometric shapes?

Essential Questions

Supporting questions that break down major concepts.
  • How can we use mathematical concepts to design and plan a functional sports stadium?
  • What are the different geometric shapes that can be composed to create a large structure like a stadium?
  • How do we calculate the area of complex shapes and why is it important in real-world applications such as architecture and engineering?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:
  • Students will be able to calculate the area of various geometric shapes including triangles, rectangles, trapezoids, parallelograms, circles, and semicircles.
  • Students will design a sports stadium model using composite geometric figures to meet specific area requirements for seating, fields, and amenities.
  • Students will apply mathematical reasoning to solve real-world problems in architecture and engineering contexts.
  • Students will develop skills in representing and solving equations and inequalities related to dimensions and areas in their stadium design.

Common Core Standards for Mathematics

7.G.B.6
Primary
Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.Reason: This standard directly involves solving problems related to the area of two-dimensional shapes, which aligns with designing sports stadiums using composite figures.
7.EE.B.4
Secondary
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.Reason: Equations and inequalities may be used to calculate dimensions and areas of composite figures in the stadium design project.
7.RP.A.2
Supporting
Recognize and represent proportional relationships between quantities.Reason: Understanding proportions is essential in accurately scaling dimensions of the stadium.

Entry Events

Events that will be used to introduce the project to students

Stadium Design Hackathon

Host a student hackathon where learners are challenged to draft a basic design of a sports stadium within a limited timeframe. The event encourages teamwork and creativity, driving curiosity about structural design and the academic concepts necessary to refine their ideas.

My Dream Stadium Pitch Day

Students prepare a pitch for their dream sports stadium, presenting their initial ideas to classmates. This open forum allows peers to provide feedback and inspires inquiry into innovative design elements, construction challenges, and mathematical applications.

Virtual Reality Stadium Tour

Students embark on a virtual reality tour of famous sports stadiums around the world to explore their design, architecture, and layout. After the tour, they brainstorm ideas for designing their dream stadium, capturing their interests and aspects they would like to include, setting the stage for the project.
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Portfolio Activities

Portfolio Activities

These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.
Activity 1

Shape Explorer Adventure

Students begin their exploration by identifying and understanding various geometric shapes necessary for designing the stadium. This activity sets the foundation for constructing the stadium using composite figures.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Introduction to basic geometric shapes such as triangles, rectangles, trapezoids, parallelograms, circles, and semicircles.
2. Students use physical models or drawing software to create and label each shape.
3. Discuss the properties of each shape, focusing on calculating areas.

Final Product

What students will submit as the final product of the activityStudents create a reference booklet with labeled diagrams and properties of geometric shapes.

Alignment

How this activity aligns with the learning objectives & standardsAligns with 7.G.B.6 by understanding the area of simple figures, which will be foundational for composite shapes.
Activity 2

Stadium Seating Strategy

Students plan the seating area for their stadium using composite figures, ensuring they meet specific area requirements for capacity and comfort.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Define area requirements for the seating based on stadium capacity goals.
2. Design seating arrangements considering passenger access and comfort using composite shapes.
3. Calculate the overall area of seating arrangements and adjust as necessary.

Final Product

What students will submit as the final product of the activityDetailed layout of stadium seating with calculated areas, accommodating design requirements.

Alignment

How this activity aligns with the learning objectives & standardsSupports 7.EE.B.4 by applying variables to calculate areas to meet specific design criteria.
Activity 3

Stadium Showcase Presentation

Students finalize their designs and present their stadium while explaining the mathematical reasoning that informed their design choices.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Prepare a presentation highlighting design details, including composite figure usage, area calculations, and proportions.
2. Rehearse and deliver the stadium design presentation to peers and guests.
3. Engage in Q&A to clarify the mathematical concepts and design strategies used.

Final Product

What students will submit as the final product of the activityA comprehensive presentation of the stadium design with visual aids and verbal explanations.

Alignment

How this activity aligns with the learning objectives & standardsInvolves aspects of 7.G.B.6, 7.EE.B.4, and 7.RP.A.2 by combining visual, verbal, and calculated elements to demonstrate understanding of geometric and proportional design.
Activity 4

Composite Figure Architect

Students progress to combining basic shapes to form larger composite figures. This helps them visualize how complex structures are formed from simple components.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Review basic shapes and discuss strategies to combine them into composite figures.
2. Students work in groups to create composite figures using different shapes on graph paper or digital tools.
3. Calculate the total area of these composite figures using their knowledge from the previous activity.

Final Product

What students will submit as the final product of the activityA collection of composite figure designs along with area calculations.

Alignment

How this activity aligns with the learning objectives & standardsFocuses on 7.G.B.6 as students solve mathematical problems involving areas of composite figures made up of basic shapes.
Activity 5

Field and Fun Zone Formation

Now students design the field and additional amenities using their knowledge of composite figures, considering functional aspects such as visibility and accessibility.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Identify the types of fields and amenities to include (e.g., soccer field, food courts, restrooms).
2. Sketch out the layout using a combination of composite figures.
3. Calculate areas to ensure that each component fits within the stadium design parameters.

Final Product

What students will submit as the final product of the activityComplete a design plan detailing the field and amenity layout, ensuring practical use of space.

Alignment

How this activity aligns with the learning objectives & standardsReflects 7.G.B.6 and 7.EE.B.4 by using geometric figures to solve design problems and applying area calculations.
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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Fantasy Sports Stadium Design Assessment

Category 1

Understanding of Geometric Concepts

Assesses students' comprehension and application of geometric shapes and their properties in designing a sports stadium.
Criterion 1

Calculation of Areas

Assesses the accuracy and understanding in calculating areas of various shapes within the design.

Exemplary
4 Points

Calculates areas with exceptional accuracy, applying advanced techniques to optimize stadium design.

Proficient
3 Points

Calculates areas accurately and applies techniques effectively in the stadium design.

Developing
2 Points

Calculates areas with some accuracy but shows inconsistencies in application.

Beginning
1 Points

Shows difficulty in calculating areas accurately and consistently.

Criterion 2

Integration of Composite Figures

Evaluate the ability to integrate multiple shapes into composite figures effectively.

Exemplary
4 Points

Skillfully integrates multiple shapes into coherent composite figures, optimizing design functionality.

Proficient
3 Points

Effectively integrates multiple shapes into composite figures with functional design.

Developing
2 Points

Shows effort in integrating shapes but composite figures lack some coherence or functionality.

Beginning
1 Points

Struggles to integrate shapes into composite figures, with minimal coherence or functionality.

Category 2

Application of Mathematical Problem-Solving

Measures the student's ability to apply mathematical reasoning to solve real-world design challenges.
Criterion 1

Design Problem-Solving

Assess how effectively mathematical reasoning is applied to solve design challenges in the stadium plan.

Exemplary
4 Points

Exhibits outstanding problem-solving skills, using mathematical reasoning to address all design challenges innovatively and effectively.

Proficient
3 Points

Demonstrates effective problem-solving skills, applying mathematical reasoning to overcome design challenges.

Developing
2 Points

Shows some problem-solving skills but uses mathematical reasoning inconsistently in design challenges.

Beginning
1 Points

Struggles with problem-solving and applying mathematical reasoning to design challenges.

Category 3

Communication and Presentation Skills

Assesses the ability to communicate design ideas effectively through presentations and documentation.
Criterion 1

Clarity of Presentation

Evaluate the coherence and clarity of the presentation, effectively communicating design ideas and processes.

Exemplary
4 Points

Delivers a clear, compelling presentation with exceptional coherence and a strong narrative of the design process.

Proficient
3 Points

Presents ideas coherently and clearly, with a well-structured narrative of the design process.

Developing
2 Points

Presents ideas with some coherence, but the narrative of the design process is partially developed.

Beginning
1 Points

Struggles to present ideas coherently, with a narrative of the design process that lacks clarity.

Criterion 2

Use of Visual Aids

Assess the effective use of charts, diagrams, and other visual aids to support the presentation.

Exemplary
4 Points

Uses visual aids expertly to enhance the presentation and clarify design concepts significantly.

Proficient
3 Points

Uses visual aids effectively, supporting the presentation and clarifying design concepts.

Developing
2 Points

Uses visual aids with some effectiveness, but they do not fully support the presentation.

Beginning
1 Points

Struggles to use visual aids effectively, offering limited support to the presentation.

Reflection Prompts

End-of-project reflection questions to get students to think about their learning
Question 1

Which aspect of your stadium design do you think best demonstrates your understanding of composite figures and their calculations?

Multiple choice
Required
Options
Seating Arrangement
Field Layout
Amenity Design
Overall Design Cohesion