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Connecting the Dots? Geometry & Architecture
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Title:
Connecting the Dots? Geometry & Architecture
Posted by:
Cooper-Hewitt National Design Museum
Date:
7/08/2008
Grade Level:
High School
Category:
Architecture
Subject Area:
Language Arts
Mathematics
Technology
Lesson Time:
Two or three fifty-minute class periods
Introduction:
In this activity students will learn about the connections between geometry and architecture. They will view a video highlighting a high school geometry class design project. Students will participate in an Internet scavenger hunt to research a variety of architecture and geometry-related terms.
State Standards:
No State Standards available.
National Standards:
Mathematics
Standard 9. Understands the general nature and uses of mathematics
 
Writing
Standard 1. Uses the general skills and strategies of the writing process
Level IV. 6. Uses strategies to adapt writing for different purposes (e.g., to explain, inform, analyze, entertain, reflect, persuade)

Reading
Standard 7. Uses reading skills and strategies to understand and interpret a variety of informational texts
Level IV. 1. Uses reading skills and strategies to understand a variety of informational texts (e.g., textbooks, biographical sketches, letters, diaries, directions, procedures, magazines, essays, primary source historical documents, editorials, news stories, periodicals, catalogs, job-related materials, schedules, speeches, memoranda, public documents, maps)Standard 4. Gathers and uses information for research purposes
Level IV. 2. Uses a variety of print and electronic sources to gather information for research topics (e.g., news sources such as magazines, radio, television, newspapers; government publications; microfiche; telephone information services; databases; field studies; speeches; technical documents; periodicals; Internet)

Working With Others
Standard 1. Contributes to the overall effort of a group
Objectives:

Students will do the following:

• conduct Internet research
• view and interpret media
• work in collaborative groups to collect information
• respond to writing prompts
• make connections across disciplines
Resources:
“Internet Scavenger” handout (attached)
Materials:
computer with Internet access
Vocabulary:
Students in this age group should be familiar with all words used.
Procedures:

Building Background
The Vocabulary of Architecture & Geometry

The purpose of this activity is to introduce students to some of the vocabulary that is used in geometry and in architecture.

1. Tell the students that they are going to conduct an Internet scavenger hunt to find the meaning of geometry and architectural terms. Give the class twenty minutes to complete this exercise. The goal of the exercise is not to learn all these terms, but to begin to explore the wide range of terms that intersect across the fields of architecture and mathematics. You may wish to have students complete the assignment as homework.

Teacher Note: You can modify the vocabulary words to meet your instructional needs.

The definitions for the architecture vocabulary may be found at https://www.bcsd.k12.ny.us/middle/michalek/Frontpage Albany 2002A/architecture_vocabulary.htm.
 
The definitions for the geometry vocabulary may be found at https://math.youngzones.org/geometry_vocabulary.html.

Steps for Learning
Activity One: Media View: A Classroom Story

The purpose of this activity is to introduce students to a classroom application of geometry and architecture.

1. As a class, view the brief video entitled “Geometry in the Real World: Students as Architects.”
Visit the website at https://www.edutopia.org/, click on “Video Library” on the sidebar, and scroll to the title “Geometry in the Real World: Students as Architects.”

Teacher Note: The video is approximately ten minutes long.

2. Discuss students’ reactions to the film. Use the following questions as guidelines:

• What did you learn about geometry from the video?
• What did you learn about architecture from the video?
• How are geometry and architecture related?

Activity Two: Thinking and Connecting

The purpose of this activity is for students to reflect on the connections between disciplines.

1. Ask your students to respond in journals to the following prompts:

• What are the connections between mathematics and other sciences?
• What role does imagination play in mathematics?
• What role does imagination play in architecture?
• What role does creativity play in architecture?
• What role does creativity play in mathematics?
• How are words used in similar ways in architecture and mathematics?
• What are the connections between architecture and mathematics?
• What math idea needs to be used in creating a scale model?
• What math idea needs to be used in perspective drawing?
• What math idea needs to be used in creating a floor plan?
• What math idea needs to be used in developing cost estimates?

2. Ask students to share their responses. Lead a class discussion on the connections between mathematics and architecture.
Assessment:
Reflection
Use the quality of students’ journal responses, worksheet
Responses, and participation in class discussion to assess
their understanding of the connections between mathematics and geometry.
Enrichment
Extension Activities:
Activity One: Learn More Terms
Have your students find twenty additional architectural and geometry-related terms and definitions.
Activity Two: Real World Research
Ask your students to interview an architect about the connections between architecture and mathematics. If possible, invite an architect to visit the classroom and share his or her work with the class.
Teacher Reflection:
N/A.
Related
Files:
No related files are necessary.
 
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