Translations

Author: Jared Fitzwater and Gina Thomas based on unit by: Jared Fitzwater 6/14/2007 3:01:00 PM EDT

VITAL INFORMATION
Subject(s):
Mathematics, Technology
 
Grade/Level:
7
 
Time Required:
3 class periods (90 minutes each).
 
Objective(s):

Students will:

  • create and identify four structural shapes (cone, sphere, cylinder, and box) using VRML programming.
  • chose a shape created in VRML to support the inside of a paper structure they will build. The structure and supports will be created out of two 3x5 inch index cards.
  • create translations in VRML after learning how to use XYZ coordinates. 
  • create translations on paper using a 2cm square.
 
Summary:
Students will create four shapes (cone, box, cylinder, and sphere) using VRML programming, allowing students to view the four shapes in 3D. Students will then do a hands-on activity creating a square structure out of index cards. After the structure is created students will support it with their choice of shape. Students will then load test their structures to see who's structure can hold the most weight.  Students will learn how to use VRML to complete the transformation exploration sheet in order to understand translations and rotations. Students will complete these tasks in textpad.
 
IMPLEMENTATION
Learning Activities:
1. Exploring and Testing Structural Shapes
 
 
2. Translation Tessellations
 
 
Resources and Unit Handouts:
  • Materials and resources:
    VRML is a virtual modeling language that can be downloaded by visiting the CITERA website at http://www.citerawv.us/resources/index.htm
  • Students Familiarity with Software Tool:
    Students will learn how to use the basics of the software.
  • See individual lessons for materials needed.
    • Attachments
    1. Example of Student work (translations) Example of translations students created.
    2. Examples of Student Work Examples of shapes students created.
    3. Structrual Testing/Evaluation Handout This handout has columns for students to predict weight,describe shapes used, place for actual weight held, and a space for to write comments.
    4. VRML Powerpoint Powerpoint describing the basics of VRML, also showing steps on how to create the 4 basic shapes.
 
STANDARDS
 
Standards compiled from learning activities:
International- Intl. Technology Education Association: Standards for Technology Literacy
• Category : Design
• Standard 10: Students will develop an understanding of the role of troubleshooting, research and development, invention and innovation, and experimentation in problem solving.
• Grade Range : 6-8
 Benchmark H: Some technological problems are best solved through experimentation.
These include experimentation with technological products and systems. This process closely resembles the scientific method. The difference between these methods is the goals that each pursue. The goal of science is to understand how nature works, while the goal of technology is to create the human-made world. In both cases, the process is systematic and involves tinkering, hypothesizing, observing, tweaking, testing, and documenting.
• Category : Abilities for a Technological World
• Standard 12: Students will develop the abilities to use and maintain technological products and systems.
• Grade Range : 6-8
 Benchmark J: Use computers and calcualtors in various applications.
Computers casn be used to control production systems and to research answers to problems.

WV- West Virginia Content Standards and Objectives
• Subject : Math
• Grade or Course : Seventh Grade
• Standard : Standard 3: Geometry (MA.S.3)
Students will:
 Objective MA.7.3.6 : apply transformations (rotations, reflections, translations) to plane figures using graph paper.
• Subject : Vocational
• Grade or Course : Technology Education
• Area : Exploring Technology (2401-2409 inclusive)
• Standard : Standard 3: Academic Applications (2401.S.3)
Students will integrate academic skills with technological knowledge when solving problems.
 Detail 2401.3.1:  Solve math and measurement problems as they relate to specific technological systems.
 Detail 2401.3.4:  Apply concepts of science to real world technological problems.
 Detail 2401.3.6:  Use computer hardware and software where applicable in the study of technology.
• Standard : Standard 7: Construction Systems (2401.S.7)
Students will explore a variety of resources, processes and outcomes necessary for the development and support of construction systems.
 Detail 2401.7.4:  Identify basic structural elements and techniques used in heavy construction, and use at least one in a classroom activity.

USA- 21st Century Learning Skills & ICT Literacy
• Area : Information and communication technology literacy
 Skill : Thinking and problem-solving skills

USA- 21st Century Skills Guidelines
• Content and Skill Area : LEARNING SKILLS: THINKING AND PROBLEM-SOLVING SKILLS Students need to think critically, analyze information, comprehend new ideas, communicate, collaborate, solve problems, and make sound decisions. Some critical elements of these thinking and learning skills are:
 Skill : Problem identification, formulation and solution. Ability to frame, analyze and solve problems.