1. Geometry in Architecture
Student Generated PowerPoint Presentations
This is a vocabulary review project. Depending on how time is split between homework and in-school work, the project could take from 4 to 6 class periods. Adjust time as you see fit for your students’ skill levels.
Adjust this project in any way you feel necessary.
Teacher information located after the last presentation slide.

2. Nature's great book is written in mathematics.
Galileo
Italian physicist and astronomer
Discussion about who Galileo is and his contributions to mathematics.
Prepare students for the following nature video. It contains various patters found in nature.

3. Geometry In
Nature
Watch video. Discuss any photos that stood out in the students’ minds and how these particular photos show mathematical patterns.

4. Math is sometimes called the science of patterns.
Ronald Graham
Mathematician
Discussion about Ronald Graham. Here is just a blurb from Wikipedia:
Ronald Lewis Graham (born October 31, 1935) is a mathematician credited by the American Mathematical Society as "one of the principal architects of the rapid development worldwide of discrete mathematics in recent years"[1]. He has done important work in scheduling theory, computational geometry, Ramsey theory, and quasi-randomness.
Prepare students for the following video. It contains photos of geometric patterns in architecture

5. Geometry In Architecture
View video and discuss photos and how they are examples of geometric patterns.
Begin to point out how there are examples of geometric shapes in building architecture. Discuss different shapes found in these photos such as: parallel lines, intersecting lines, symmetry, angles, etc.

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

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

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

9. Click on the middle to begin the movie
Click on the middle to begin the movie. This is a movie of houses and commercial buildings in Price. Students are to shout out what they see. Let them have fun.
A discussion should follow.

10. Objectives By the end of this project, students will be able to:
Identify a variety of geometric shapes
Define specific geometric shapes
Explain how each different shape identified fits its specific geometric definition

11. Overview of the Assignment
As a team, you will be making a PowerPoint presentation. Each presentation slide will display examples of geometry found in the architecture of our community, vocabulary word and definition, and how the picture and shape meet the definition standards.
Don’t let kids worry. Let them know that example PP slides will be coming.

12. Materials Digital Camera Computer Vocabulary List
Checkout from school
Your own
Cell phone
Computer
Vocabulary List
Math textbook (glossary of terms)
Online glossary of math terms
Let students use their own camera if they want…as long as they have some way to download the pictures to their school folder. Don’t let them keep pictures at home. You may never see them.

13. Partners Choose wisely Grade is the same for all members of the group
No more than 3 in a group
You may work alone
Students may choose, but the teacher should reserve the right to change students around if necessary. Keep in mind special education students’ needs and advanced students desire to go farther.

14. Instructions Create your team
Checkout a digital camera from your teacher or be prepared with one of your own.
Print out a copy of the “Geometry Vocabulary” list located in the “Assignments” folder
These instructions fit the Carbon School District’s new “assignments” folder.
My Computer
Assignments folder
Teacher’s folder
Geometry Vocabulary List Doc.

15. Homework Take a walk around your neighborhood including main streets.
Take pictures of examples of each vocabulary word as you find the geometric shape in architecture (building design).
This could also be a class walk through the city.

16. Class Work Download your pictures to your folder.
Divide up the vocabulary words evenly between team members.
Create PowerPoint slides with the following information:

17. Requirements
Introduction slide:
Vocabulary slides:
End Slides:

18. Introduction Slide Title Team Member Names Class Period Date
Next slide is the example.

19. Artistic Architecture
Janey Doe
Bobby Sox
Dusty Rhodes
Geometry: 2nd Period
October 12, 2008

20. Vocabulary Slides 20 Vocabulary Words Required 2 words per slide
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.
Next slide is the example.

21. Sample Slide Explanation Vocabulary Word Photo
Labels will show up on clicks.
Definition

22. One for each team member
End Slide
One for each team member
1. Team Member’s Name
2. Short paragraph of what was learned
through this assignment.
3. Photo of Student
Next slide is the example.

23. Sample End Slide

24. Finishing To complete the project:
Double check your definitions, photos, and explanations for accuracy.
Add transitions if desired.
Upload your project to the student- work folder for grading.
Prepare group for project presentation. (Who is going to do what?)
Students will be using the new student-work folder located as part of the new “assignments” folder.
Teachers will be able to view and grade projects from this folder.
Students can present their projects from this folder or from their own.

25. Grading Rubric Photos Slides Defini-tions5
All photos are clear and well defined
(20 photos) 4
Most Photos are clear and well defined
(17 photos) 3
Some photos are clear and well defined
(15 photos) 2
Only a few photos are clear and well defined
(12 photos) 1
Photos are not clear or well defined
(10 photos)
Slides
All slides are well prepared and organized
(95% of slides)
Most slides are well prepared and organized
(90% of slides)
Some slides are well prepared and organized
(85% of slides)
Only a few slides are well prepared and organized
(80% of slides)
Slides are not well prepared or organized
(75% of slides)
Defini-tions
All definitions are correct
(20 definitions)
Most definitions are correct
(17 definitions)
Some definitions are correct
(15 definitions)
Only a few definitions are correct
(12 definitions)
Definitions are not correct
(10 definitions)
Grading rubric is very basic. The focus is to have all components correct. This rubric can be adjusted to your individual preferences.

26. Some paragraphs are clear and well written
Rubric Cont.
End Slides 5
All paragraphs are clear and well written 4 3
Some paragraphs are clear and well written 2 1
Paragraphs are not clear or well written
Over-all Score
Project is well prepared and organized
Most of the project is well prepared and organized
Some of the project is well prepared and organized
Only part of the project is well prepared and organized
The project is not well prepared or organized

27. Scores 25-21.5 points = A 21-19 points = B 18.5 – 16.5 points = C
16 – points = D
Below 14 points = F
This is on an adjusted percentage scale.
An A is roughly 90%
A B is roughly 80% and so on……

28. Geometry in Architecture
Student Generated PowerPoint Presentations
This is the end of the student’s presentation. Additional teacher information is located on the next two slides.
Teacher information located after the last presentation slide.

29. 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.

30. 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.
Vocabulary explanations and facts suited for lower level learners (special education).
Geometry and Trigonometry practice exercises.
Great site filled with games, activities, and information covering many different mathematical concepts.
A collection of great sight filled with game, activities, and math problem web sites.
Online interactive Geometry units; including unit quizzes. Could also be used in the classroom as specific geometry units.