Geometry in Geometry in ArchitectureArchitecture

Student Generated Student Generated PowerPoint PresentationsPowerPoint Presentations

Teacher information located after the last presentation slide.

Nature's great book is Nature's great book is written in written in mathematics.mathematics.

GalileoGalileo

Italian physicist and astronomerItalian physicist and astronomer

Geometry

In

Nature

Math is sometimes Math is sometimes called the science called the science of patterns.of patterns.

Ronald GrahamMathematicianMathematician

Geometry

In

Architecture

Triangles are rigid. Their angles cannot be changed; therefore, they are the strongest shape used in building. They provide structural integrity.

Notice how the columns on the front of the Capitol and along the dome create parallel lines.

How many different types of symmetry can you find in this tiled archway? Where are the lines of reflection?

ObjectivesObjectivesBy the end of this project, students will By the end of this project, students will

be able to:be able to:

IdentifyIdentify a variety of geometric a variety of geometric shapesshapes

DefineDefine specific geometric shapes specific geometric shapes ExplainExplain how each different shape how each different shape

identified fits its specific geometric identified fits its specific geometric definitiondefinition

Overview of the Overview of the AssignmentAssignment

As a team, you will be making a As a team, you will be making a PowerPoint presentation. Each PowerPoint presentation. Each presentation slide will display presentation slide will display examples of geometry found in the examples of geometry found in the architecture of our community, architecture of our community, vocabulary word and definition, and vocabulary word and definition, and how the picture and shape meet the how the picture and shape meet the definition standards. definition standards.

Digital CameraDigital Camera• Checkout from schoolCheckout from school• Your ownYour own• Cell phoneCell phone

ComputerComputer Vocabulary ListVocabulary List Math textbook (glossary of terms)Math textbook (glossary of terms) Online glossary of math termsOnline glossary of math terms

MaterialsMaterials

PartnersPartners Choose wiselyChoose wisely Grade is the same for Grade is the same for allall members of members of

the groupthe group No more than No more than 33 in a group in a group You may work aloneYou may work alone

InstructionsInstructions Create your teamCreate your team Checkout a digital camera from Checkout a digital camera from

your teacher or be prepared your teacher or be prepared with one of your own.with one of your own.

Print out a copy of the Print out a copy of the “Geometry Vocabulary” list “Geometry Vocabulary” list located in the “Assignments” located in the “Assignments” folderfolder 1. My Computer

2. Assignments folder

3. Teacher’s folder

4. Geometry Vocabulary List Doc.

HomeworkHomework Take a walk around your Take a walk around your

neighborhood including main neighborhood including main streets.streets.

Take pictures of examples of Take pictures of examples of each vocabulary word as you each vocabulary word as you find the geometric shape in find the geometric shape in architecture (building design).architecture (building design).

Class WorkClass Work Download your pictures to Download your pictures to

your folder.your folder. Divide up the vocabulary Divide up the vocabulary

words evenly between team words evenly between team members.members.

Create PowerPoint slides with Create PowerPoint slides with the following information:the following information:

RequirementsRequirements Introduction slide:Introduction slide:

Vocabulary slides:Vocabulary slides:

End Slides:End Slides:

Introduction SlideIntroduction Slide

1.1. TitleTitle

2.2. Team Member NamesTeam Member Names

3.3. Class PeriodClass Period

4.4. DateDate

Artistic Architecture

Janey Doe

Bobby Sox

Dusty Rhodes

Geometry: 2nd Period

October 12, 2008

Including:

Vocabulary word

Definition of the vocabulary word

Photo example of the vocabulary word

Explanation of how the photo is an example of the vocabulary word.

1.1. 20 Vocabulary Words Required 20 Vocabulary Words Required 2.2. 2 words per slide2 words per slide

Vocabulary Vocabulary SlidesSlides

Sample SlideSample Slide

Vocabulary Word

Definition

Explanation

Photo

End SlideEnd SlideOne for each team memberOne for each team member

1. Team Member’s Name1. Team Member’s Name

2. Short paragraph of what was learned 2. Short paragraph of what was learned

through this assignment.through this assignment.

3. Photo of Student3. Photo of Student

Sample End SlideSample End Slide

FinishingTo complete the project:

1. Double check your definitions, photos, and explanations for accuracy.

2. Add transitions if desired.3. Upload your project to the student- work

folder for grading.4. Prepare group for project presentation.

(Who is going to do what?)

Grading RubricGrading RubricPhotosPhotos 55

All photos are All photos are clear and well clear and well defineddefined

(20 photos)(20 photos)

44

Most Photos Most Photos are clear and are clear and well definedwell defined

(17 photos)(17 photos)

33

Some photos Some photos are clear and are clear and well definedwell defined

(15 photos)(15 photos)

22

Only a few Only a few photos are photos are clear and well clear and well defineddefined

(12 photos)(12 photos)

11

Photos are not Photos are not clear or well clear or well defineddefined

(10 photos)(10 photos)

SlidesSlides 55

All slides are All slides are well prepared well prepared and organizedand organized

(95% of slides)(95% of slides)

44

Most slides are Most slides are well prepared well prepared and organizedand organized

(90% of slides)(90% of slides)

33

Some slides Some slides are well are well prepared and prepared and organizedorganized

(85% of slides)(85% of slides)

22

Only a few Only a few slides are well slides are well prepared and prepared and organizedorganized

(80% of slides)(80% of slides)

11

Slides are not Slides are not well prepared well prepared or organizedor organized

(75% of slides)(75% of slides)

Defini-Defini-tionstions

55

All definitions All definitions are correctare correct

(20 (20 definitions)definitions)

44

Most Most definitions are definitions are correctcorrect

(17 (17 definitions)definitions)

33

Some Some definitions are definitions are correctcorrect

(15 (15 definitions)definitions)

22

Only a few Only a few definitions are definitions are correctcorrect

(12 (12 definitions)definitions)

11

Definitions are Definitions are not correctnot correct

(10 (10 definitions)definitions)

Rubric Cont.Rubric Cont.

End End SlidesSlides

55

All paragraphs All paragraphs are clear and are clear and well writtenwell written

44 33

Some Some paragraphs paragraphs

are clear and are clear and well writtenwell written

22 11Paragraphs Paragraphs are not clear are not clear or well writtenor well written

Over-Over-all all ScoreScore

55

Project is well Project is well prepared and prepared and organizedorganized

44

Most of the Most of the project is well project is well prepared and prepared and organizedorganized

33

Some of the Some of the project is well project is well prepared and prepared and organizedorganized

22

Only part of Only part of the project is the project is well prepared well prepared and organizedand organized

11

The project is The project is not well not well prepared or prepared or organizedorganized

A

ScoresScores

25-21.5 points = 25-21.5 points = AA

21-19 points = 21-19 points = BB

18.5 – 16.5 points = 18.5 – 16.5 points = CC

16 – 14.5 points = 16 – 14.5 points = DD

Below 14 points = Below 14 points = FF

Geometry in Geometry in ArchitectureArchitecture

Student Generated Student Generated PowerPoint PresentationsPowerPoint Presentations

Teacher information located after the last presentation slide.

Teacher Information This project will build on prior knowledge

(scaffolding). Previous vocabulary instruction will be necessary prior to this project.

Students with IEPs or other special needs should be given the accommodation of extra time or a reduced number of vocabulary words necessary for their project.

Advanced students should be encouraged to use more technical vocabulary definitions as part of their project.

Students with advanced computer skills or experience with PowerPoint should be partnered with students who need to increase their skills. This partnership will foster learning for both students as they learn to work together to complete a quality project.

Extension Activities: The following web sites contain additional information and extension activities for classroom use. These sites could be used as extension activities or as learning sites for additional practice or rewards. A brief explanation accompanies each website.

• http://www.aaamath.com/geo.htm Vocabulary explanations and facts suited for lower level learners (special education).

•http://campus.northpark.edu/math/precalculus/Transcendental/Trigonometric/Geometry/Exercises/exercises.html

Geometry and Trigonometry practice exercises.

• http://www.learner.org/teacherslab/math/geometry/ Great site filled with games, activities, and information covering many different mathematical concepts.

• http://cte.jhu.edu/techacademy/web/2000/heal/siteslist.htm A collection of great sight filled with game, activities, and math problem web sites. • http://www.math.com/practice/Geometry.html Online interactive Geometry units; including unit quizzes. Could also be used in the classroom as specific geometry units.