Cross-Curricular Project 4
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Introduction
| Task
| Process
| Guidance
| Conclusion
| Questions
Introduction
Have you ever visited a memorial didcated to the people who lost their lives defending our country or its principles? The Vietnam War was fought from 1961 to 1973. During that time, over 58,000 Americans lost their lives. Americans have memorials in memory of the service of these people in the Vietnam War in 32 states and in Washington, D.C. In this project, you will use circles, polygons, surface area, and volume to design a memorial to honor war veterans.
The Task
You work as an architect for an architectural firm. The city in which your firm is located wants to construct a monument to honor the war veterans from your city. The monument needs to be a unique building with a maximum of 1000 square feet of interior floor space. They also want a unique, creative tile pattern to be used on the floor inside the monument. You need to present a design for this building to the others in your firm. Your proposal should be in a portfolio that contains a design for the building and a pattern to be used for tiling the floor inside the building. If you prefer, you can prepare a Web page with this information for the members of your firm to view. Be sure that your portfolio or Web page contains the following information:
- a scale drawing of the front and side views of your proposed building;
- a scale drawing of the floor plan, which has a maximum of 1000 square feet;
- a scale drawing of the tile pattern to be used inside the building;
- calculations that show the surface area of the walls and ceiling for the building;
- calculations showing the volume of the building.
The Process
To successfully complete this project, you will need to complete the following items.
Guidance
Here are some additional questions and ideas you may want to consider for your project.
- Design an unusual building, such as a pyramid or hemisphere.
- Draw a mural to be painted on a wall of the monument.
- Write a poem to be used as a tribute to the war veterans.
- Design a garden to surround the monument.
- Research a particular monument you find on the Internet. Find out why the monument was constructed.
- Research tessellations. Find out about the various classifications for tessellation patterns.
- Research artists who use tessellations in their work.
Conclusion
Here are some ideas for concluding your project.
- Present your project to your class or at a family night.
- Present the information on a Web page. Have other students critique your project and help you to make improvements to your project.
- Interview an architect. Find out how this person comes up with creative ideas for architectural designs.
Questions
Lesson 10–1
Tyrone decides to have a circular patio at his monument. At the center of the patio will be a flagpole, and around the edges will be benches for visitors to sit on. He wants to have at least 6 but no more than 12 benches, and he wants them 2 feet apart. The benches are 5 feet long.
- What is the smallest circumference the patio can be? The largest?
- Based on your answers from Exercise 1, what is the smallest distance each bench can be away from the flagpole? The largest distance? (Hint: This is the radius of the patio)
- Choose a number of benches other than 6 or 12. Calculate the circumference of the patio and the radius. Then draw a diagram of your patio including all benches and the flagpole.
Lesson 11–4
Miguel finds this tessellation pattern on the Internet. He plans to modify it and use it as the basis for his tile pattern for the war veterans' monument.
- Identify the polygons in the tessellation.
- Find the degree measures of the interior angles for each polygon in the tessellation.
- Determine whether the tessellation is uniform, regular, or semi–regular. Name all possibilities and explain your reasoning.
Lesson 12–5
Petra's proposed building is a square pyramid. In her plans, the base is 30 feet on a side. The height of the pyramid at the center will be 40 feet.
- Make a sketch of the pyramid structure.
- To the nearest hundredth, find the slant height of a face of the pyramid.
- Find the lateral area of the pyramid using your answer to Exercise 2. (Do not include the area of the floor.)
- Will the area of the floor be less than the 1000 square feet specified for the project? Explain.
Lesson 13–3
Miranda and Jordan are working together to design a building to serve as a memorial to war veterans. Their building will be a hemisphere (half of a sphere). The circular floor will have a radius of 25 feet.
- Make a sketch of the hemisphere.
- Will the area of the floor be less than the 1000 square feet specified for the project? Explain.
- To the nearest square foot, find the surface area of the hemisphere.
- To the nearest square foot, find the volume of the hemisphere.