3-D Building:3-D Building:Shapes and Symbolic Shapes and Symbolic

RelationshipsRelationships

By Kalena GriesBy Kalena Gries

9-30-099-30-09

Science Standard 5 – The Science Standard 5 – The Mathematical WorldMathematical World

Indicator 5.5.3 – Classify objects in terms Indicator 5.5.3 – Classify objects in terms of simple figures and solids.of simple figures and solids.

Taken from: Taken from: http://dc.doe.in.gov/Standards/AcademicSthttp://dc.doe.in.gov/Standards/AcademicStandards/StandardSearch.aspxandards/StandardSearch.aspx

Link to activity: Link to activity: http://www.indianastandardsresources.org/http://www.indianastandardsresources.org/files/sci/sci_5_5_3.pdffiles/sci/sci_5_5_3.pdf

DefinitionsDefinitions

Solid – Solid – of or relating to three-dimensional of or relating to three-dimensional geometric figures, bodies, or shapes geometric figures, bodies, or shapes

Architect – Architect – a person qualified to design a person qualified to design and supervise the construction of buildings and supervise the construction of buildings

Key – Key – a list of explanations of symbols, a list of explanations of symbols, codes, or abbreviations codes, or abbreviations

Taken from: Taken from: http://www.thefreedictionary.com/http://www.thefreedictionary.com/

Background InformationBackground Information

Shapes are all around us, often in 3-dimensional Shapes are all around us, often in 3-dimensional form. They make our world interesting and form. They make our world interesting and decorate our skyline. The “inventor” of the decorate our skyline. The “inventor” of the skyscraper was George A. Fuller. While there was skyscraper was George A. Fuller. While there was not really a “first” skyscraper because of the not really a “first” skyscraper because of the different building elements, the earliest skyscrapers different building elements, the earliest skyscrapers include Chicago's Home Insurance Building, New include Chicago's Home Insurance Building, New York City’s Flatiron Building, and the Tacoma York City’s Flatiron Building, and the Tacoma Building. At over 2,600 ft., the tallest skyscraper is Building. At over 2,600 ft., the tallest skyscraper is Burj Dubai in Dubai, United Arab Emirates. Maybe Burj Dubai in Dubai, United Arab Emirates. Maybe one day you’ll top that. Pictures of some of these one day you’ll top that. Pictures of some of these buildings can be found by clicking on the buildings can be found by clicking on the background info. links on the resources slide.background info. links on the resources slide.

BrainstormBrainstorm

On a separate sheet of paper…On a separate sheet of paper… List as many geometric shapes as you can List as many geometric shapes as you can

think of.think of. What does an architect do?What does an architect do? How might an architect use shapes?How might an architect use shapes?

Sample answers can be found at the end, Sample answers can be found at the end, but please try to answer these on your but please try to answer these on your own before looking at them.own before looking at them.

IdentifyIdentify Architects use many shapes in their designs. The Architects use many shapes in their designs. The

house below uses circles, rectangles, triangles, house below uses circles, rectangles, triangles, among other shapes.among other shapes.

Identify AgainIdentify Again Look at the picture of the little house below. What shapes did the Look at the picture of the little house below. What shapes did the

architect use in this house? Name them and trace them with your architect use in this house? Name them and trace them with your finger.finger.

ConstructConstruct Some of the shapes that you brainstormed can be combined Some of the shapes that you brainstormed can be combined

to make 3-dimensional solids. For example, six squares to make 3-dimensional solids. For example, six squares make a cube and two circles and a rectangle make a make a cube and two circles and a rectangle make a cylinder.cylinder.

By yourself or with a partner, you are going to be an architect By yourself or with a partner, you are going to be an architect and create your own building with some of these 3-D solids: and create your own building with some of these 3-D solids: triangular prism, cube, rectangular prism, cone, cylinder, and triangular prism, cube, rectangular prism, cone, cylinder, and square pyramid. You will need to cut them out, fold the tabs, square pyramid. You will need to cut them out, fold the tabs, and then tape or glue the sides of each shape. After each and then tape or glue the sides of each shape. After each shape is made, stack them together in any way you want to shape is made, stack them together in any way you want to make a building.make a building.

There is an example building on the next slide. Try to There is an example building on the next slide. Try to identify the shapes that were used to make it. Remember identify the shapes that were used to make it. Remember that this is only an example and that you need to make your that this is only an example and that you need to make your own.own.

3-D Building Example3-D Building Example

3-D Building Extension: Blueprints3-D Building Extension: Blueprints Now that you have constructed your building, draw a Now that you have constructed your building, draw a

picture of your building and label the shapes you picture of your building and label the shapes you used to create it. This “blueprint” will act as an used to create it. This “blueprint” will act as an answer key. See the example below. Once you are answer key. See the example below. Once you are done with your blueprint, put it in the materials folder done with your blueprint, put it in the materials folder so that it can be checked.so that it can be checked.

3-D Building 3-D Building Summaries/ConclusionsSummaries/Conclusions

On a separate sheet of paper, answer the following On a separate sheet of paper, answer the following questions.questions. How did you choose what shapes to use to build your building?How did you choose what shapes to use to build your building? Were there any shapes that you saw in the pictures of houses that Were there any shapes that you saw in the pictures of houses that

were not in your building? Which ones? Why were they not in were not in your building? Which ones? Why were they not in your building? Did you want them to be?your building? Did you want them to be?

Did you use all of the solids available to you? Why or why not?Did you use all of the solids available to you? Why or why not? What is the difference between a simple shape and a solid?What is the difference between a simple shape and a solid?

Be sure to put your blueprint and the answers to your Be sure to put your blueprint and the answers to your brainstorm questions and your summaries questions brainstorm questions and your summaries questions (above) in the materials folder to be checked.(above) in the materials folder to be checked.

Shapes and solids are all around us. They are found in Shapes and solids are all around us. They are found in buildings and houses, games, textbooks, and sometimes buildings and houses, games, textbooks, and sometimes even the clouds. Our world would be a blob without even the clouds. Our world would be a blob without geometric shapes.geometric shapes.

ResourcesResources House pictures: House pictures:

http://z.about.com/d/architecture/1/0/T/K/mcmansion-0100http://z.about.com/d/architecture/1/0/T/K/mcmansion-010030.jpg30.jpg

http://blogs.realestate.com.au/outthere/upload/2008/01/http://blogs.realestate.com.au/outthere/upload/2008/01/little%20house.JPG little%20house.JPG

Background Info:Background Info: http://inventors.about.com/library/inventors/http://inventors.about.com/library/inventors/

blskyscapers.htm blskyscapers.htm http://en.wikipedia.org/wiki/Skyscraper http://en.wikipedia.org/wiki/Skyscraper http://www.encyclopedia.com/doc/1O119-http://www.encyclopedia.com/doc/1O119-

Skyscrapers.html Skyscrapers.html http://www.skyscraper.org/TALLEST_TOWERS/tallest.htm http://www.skyscraper.org/TALLEST_TOWERS/tallest.htm

Brainstorm and Discuss:Brainstorm and Discuss:Possible AnswersPossible Answers

Geometric shapesGeometric shapes SquareSquare RectangleRectangle TriangleTriangle CircleCircle OvalOval ParallelogramParallelogram RhombusRhombus TrapezoidTrapezoid PentagonPentagon HexagonHexagon

What does an architect What does an architect do?do? Draw up (design) Draw up (design)

buildingsbuildings Make sure buildings are Make sure buildings are

built right (supervise)built right (supervise) How might an architect How might an architect

use shapes?use shapes? The materials used are The materials used are

different shapes.different shapes. He/she makes buildings He/she makes buildings

into different shapes.into different shapes.