Unit 4 WebQuest - Internet Project
|Able to Leap Tall Buildings
The buildings with the tallest rooftop is the Sears Tower
in Chicago, with a height of 1450 feet. However, the tallest
building is the Petronas Twin Towers in Kuala Lumpur, Malaysia,
whose architectural spires rise to 1483 feet. In this project,
you will be exploring how geometry and algebra can help you
describe unusual or large structures of the world.
Your school is having a mathematics
fair. Your class has the following assignment. Each student
needs to research a large or unusual structure. You need to
present facts about the structure including the dimensions
you can find. Finally, you need to relate the size of the
structure in some way to another item. Be sure your project
contains the following:
- a poster or Webpage presenting information and facts about
- pictures and/or diagrams of the structure;
- a comparison of your structure to some familiar item using
a table, graph, diagram, or other method of showing the
You will get more ideas about
completing this project in the exercises in your textbook
in Unit 3.
To successfully complete this project,
you will need to complete the following items.
- Research large or unusual structures
either in the U.S. or in another part of the world. Select
one of the structures for your project. For help, try these
and search for skyscrapers
- Find dimensions and other interesting
information for the structure you select.
- Brainstorm about some familiar
items that you may want to use to compare to your structure.
Here are some ideas.
How many of my bedrooms would fit on one floor of the structure?
How many average swimming pools full of water would fill
How many people could stand side-by-side around the perimeter
of the structure?
- Determine how you are going to
show the comparison of your selected item and some dimension
of the structure. Remember you can use perimeter, area,
surface area, and volume for comparisons.
- Be creative. Add some additional
data, information, or even pictures to your poster or Web
Here are some additional questions
and ideas you may want to consider for your project.
- What purpose did or does the structure
- What is the history of the structure?
For example, how long did it take to build the structure?
Has it been used for different purposes over its lifetime?
- What are special features of the
structure? Is it similar to any previous structures?
- Were any unusual methods or materials used in building
- How are large structures destroyed if they are no longer
safe to use?
- What was the cost of the structure?
- Interview an architect or building designer. Ask whether
there is a limit on the height of tall buildings. What special
problems do designers of tall buildings face?
Here are some ideas for concluding
- Present your project to your class
or at a family night.
- Present the information in a brochure
instead of using a poster or Web page. Include pictures
and diagrams to present your information and ideas.
- Compile the projects of all students
in your class into a booklet. Publish it using desktop publishing
Laurie was interested in pyramids for her project on structures.
She found this drawing of the Summum Pyramid in Utah.
- Consider the face of one side of
the pyramid or triangle ACD. The height of the triangular
face is AB and one-half of the base is BC.
Angle ABC is a right angle. Which trigonometric ratio
is the ratio AB/BC?
- The ratio AB/BC is
approximately 1.618. What is the measure of angle C?
Round to the nearest degree.
- Research well-known mathematical
ratios. What is another name for the ratio that is approximately
1.618? (Some Egyptian pyramids also contain this ratio.)
A unique structure in Seattle, Washington, is the Space Needle.
It was built for a World's Fair. Chyna is researching this structure
for her project.
- A restaurant in the Space Needle
is circular, with a diameter of 94.5 feet. What is the area
of the restaurant? Round to the nearest unit.
- The halo near the top of the structure
has a diameter of 138 feet. What is the circumference of
the halo? Round to the nearest unit.
- Suppose the halo around the top
was a square. What would be the approximate length of one
side of the square, if it had the same perimeter as the
- How many 16-inch diameter pizzas
would cover the floor of the restaurant in the Space Needle?
Tyrone is researching pyramids on the Giza Plateau in Egypt.
The pyramids of Khafre and Menkaure have the dimensions shown
in the table. The base of each pyramid is a square.
||Base on each side (feet
- What is the volume of the Khafre pyramid?
- What is the volume of the Menkaure pyramid?
- Which pyramid has the greater volume? How many times greater
is the volume of the larger pyramid than the smaller pyramid?
- Tyrone has an above-ground circular pool in his backyard.
It has a diameter of
16 feet and a height of 3 feet. How many of these swimming
pools full of water would the Menkaure pyramid hold?