Cones and Volcanoes and Pompeii OH MY

Author: Kari Clark, Matt Swiger, Ruth Ann Crow based on unit by: Kari Clark 6/21/2007 2:39:00 PM EDT

VITAL INFORMATION
Subject(s):
History, Mathematics, Science
 
Grade/Level:
9-12
 
Time Required:
4 days on Cones
3 days on Volcanoes
3 days on Pompeii
 
Objective(s):

Students will:

  • determine cone volume. 
  • predict results of Mt. Rainier eruption. 
  • explore Pompeii and use PBL to study Orting.
 
Summary:
This unit addresses cone shape and volume and how they relate to volcanic volume.  Additionally, how the past can help predict the future will be discussed.
 
IMPLEMENTATION
Learning Activities:
1. Museum Master
 
 
2. Volcanoes Can Really Blow!!
 
 
3. Quantum Leap: Pompeii's Dilemma
 
 
Resources and Unit Handouts:
  • Materials and resources:
    Museum Masters
    •Materials and resources:
    Pre-made models of rectangular solids, cones, and cylinders.
    Paper, rice, tape, scissors, rulers, clay.
    Worksheets and rubrics (see appropriate spaces in this template).
    PowerPoint introduction using VRML graphics.
    •Technology resources:
    PowerPoint, The other lessons in this unit (see unit plan) allow the students extensive work with technology. This lesson is primarily a hands-on inquiry lab.
    •The number of computers required is 1.

    Volcanoes Can Really Blow!!
    •Volcano Activity Sheet
    •Technology resources:
    PowerPoint, Word
    •Mt. St. Helens after May 18,1980
    •Mt. St. Helens before May 18, 1980
    •Create your own volcano. Volcano simulation. Also includes other simulations.

    Quantum Leap:Pompeii's Dilemma

    •Materials and resources:
    Students should use Internet search engines, links embedded in this lesson, Google Earth, and any other resources deemed necessary to solve this open ended problem.

    Students may produce presentations utilizing any software, technology tool, resource material available in the classroom.

    Students may do newscasts, PowerPoints, Storyboards, Concept Maps, other presentation tools in presenting their findings.

    One other resource is one called "Virtual Pompeii" which are 3D graphic replicas of buildings in Pompeii that were uncovered. Internet links that students can visit include those with VRML language and the need for a VRML viewer / plug-in is imperative to view these images.
    •Technology resources:
    Inspiration, Internet Explorer, PowerPoint, Students are encouraged to use whatever tools are necessary to create a unique and innovative approach to problem-solving and presentation.

    Classrooms should have free VRML viewing software such are Cortona loaded on the computers so that 3D graphics in VR format can be viewed.
    •The number of computers required is 1 per 4 students.
    •Students Familiarity with Software Tool:
    Students in a technology rich classroom will have been exposed to most of the technology tools offered in this lesson.

    One exception is VRML language and VRML viewers. There might be a steep curve in preparing students to understand VRML and writing VRML 3D code.
    •Students will be asked to present in 5 minutes or less their findings. Implementation under ordinary circumstances will differ. In a classroom where steps to problem solving are already covered, students will immerse themselves in the problem immediately. For student unfamiliar with Problem-Based Learning processes, may take a short orientation period.

    •  

    Attachments
    1. Assessment.doc
    2. MUSEUM MASTER Power Point.ppt
    3. PBL Process-CITERA.doc
    4. PBL Rubric.doc
    5. PBL-KWHL.isf
    6. Project Checklist.doc
    7. Quantum Leap-Pompeii's Dilemma.doc
    8. Reflection Journal for course.doc
    9. Volcano Project - Print View.htm
    10. volcano.wrz
    11. volcano_St_Helens.wrz
    12. Volcanoes Can Really Blow.doc
    13. Volume of Cylinders and Cone Assessment - Print View.htm
    14. Volume worksheet.doc
    Links
    1. Discovery Volcano Simulation
 
STANDARDS
 
Standards addressed by unit:
WV- West Virginia Content Standards and Objectives
• Subject : Math
• Grade or Course : Geometry and Applied Geometry
• Standard : Standard 3: Geometry (MA.S.3)
Students will:
 Detail : analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships;
 Detail : solve problems using visualization, spatial reasoning, and geometric modeling through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.
 Objective G.3.15 : develop and apply formulas for area, perimeter, surface area, and volume and apply them in the modeling of practical problems.
 Objective G.3.8 : explore and identify properties of quadrilaterals and verify the properties for parallelograms, rectangles, rhombuses, squares, and trapezoids.
 Objective G.3.4 : construct logical arguments in formal and informal methods with direct and indirect reasoning.
• Subject : Science
• Grade or Course : Ninth Grade
• Standard : Standard 1: History and the Nature of Science (SC.S.1)
Students will:
 Detail : demonstrate an understanding of the history of science and the evolvement of scientific knowledge;
 Detail : demonstrate an understanding of science as a human endeavor encompassing the contributions of diverse cultures and scientists; and
 Detail : demonstrate an understanding of the nature of science.
 Objective SC.9.1.1 : formulate scientific explanations based on the student's observational and experimental evidence, accounting for variability in experimental results.
 Objective SC.9.1.5 : trace the development of key historical concepts and principles describing their impact on modern thought and life by identifying the scientist’s contributions.
 Objective SC.9.1.2 : recognize that science has practical and theoretical limitations.
• Standard : Standard 2: Science as Inquiry (SC.S.2)
Students will:
 Detail : demonstrate the abilities necessary to do scientific inquiry;
 Detail : demonstrate understanding about scientific inquiry; and
 Detail : demonstrate the ability to think and act as scientists by engaging in active inquiries, investigations and hands-on activities a minimum of 50% of the instructional time.
 Objective SC.9.2.1 : model and exhibit the skills, attitudes and/or values of scientific inquiry (e.g., curiosity, logic, objectivity, openness, skepticism, appreciation, diligence, integrity, ethical practice, fairness, creativity).
 Objective SC.9.2.2 : demonstrate ethical practices for science (e.g., established research protocol, accurate record keeping, replication of results and peer review).
 Objective SC.9.2.3 : apply scientific approaches to seek solutions for personal and societal issues.
 Objective SC.9.2.7 : demonstrate science processes within a problem solving setting (e.g., observing, measuring, calculating, communicating, comparing, ordering, categorizing, classifying, relating, hypothesizing, predicting, inferring, considering alternatives and applying).
• Standard : Standard 3: Unifying Themes (SC.S.3)
Students will:
 Detail : demonstrate the ability to identify, construct, test, analyze and evaluate systems, models, and changes; and
 Objective SC.9.3.2 : apply evidence from models to make predictions about interactions and changes in systems.
• Standard : Standard 4: Science Subject Matter/Concepts
Students will:
 Detail : demonstrate knowledge, understanding and applications of scientific facts, concepts, principles, theories and models as delineated in the objectives;
 Detail : demonstrate an understanding of the interrelationships among physics, chemistry, biology and the earth and space sciences; and
 Detail : apply knowledge, understanding and skills of science subject matter/concepts to daily life experiences.
 Objective SC.9.4.1 : demonstrate an understanding of the interconnections of biological, earth/space and physical science concepts.
 Objective SC.9.4.26 : investigate formation and destruction of landforms.
 Objective SC.9.4.36 : relate changes in the Earth’s surface to the motion of lithospheric plates.
• Standard : Standard 5: Scientific Design and Application (SC.S.5)
Students will:
 Detail : demonstrate an understanding of the interdependence between science and technology;
 Detail : demonstrate the ability to utilize technology to gather data and communicate designs, results and conclusions.
 Objective SC.9.5.2 : cite examples of the interdependence of science and technology (e.g., new technologies have lead to development of new scientific knowledge).
 Objective SC.9.5.3 : apply scientific skills and technological tools to design a solution that addresses a personal or societal need.
 Objective SC.9.5.4 : analyze the consequences of imposed constraints on an engineering solution.
• Subject : Social Studies
• Grade or Course : Tenth Grade
• Standard : Standard 4: Geography (SS.S.4)
Students will:
 Detail : describe and explain the physical processes that shape the earth’s surface and create, sustain and modify the cultural and natural environment (Physical Systems);
 Detail : explain geographic perspective and the tools and techniques available for geographic study (Uses of Geography).
• Standard : Standard 5: History (SS.S.5)
Students will:
 Detail : use the processes and resources of historical inquiry to gather, examine, compare, analyze and interpret historical data (Skills and Application);
Standards compiled from learning activities:
International- Intl. Technology Education Association: Standards for Technology Literacy
• Category : Technology and Society
• Standard 5: Students will develop an understanding of the effects of technology on the environment.
• Grade Range : 9-12
 Benchmark I: With the aid of technology, various aspects of the environment can be monitored to provide information for decision-making.
The development of a wide range of instrumentation to monitor the effects of human-made gases, such as CFCs or monitor the effects of weather patterns(meteorology) and other atmospheric conditions are examples of these technologies.

WV- West Virginia Content Standards and Objectives
• Subject : Math
• Grade or Course : Geometry and Applied Geometry
• Standard : Standard 3: Geometry (MA.S.3)
Students will:
 Detail : analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships;
 Detail : solve problems using visualization, spatial reasoning, and geometric modeling through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.
 Objective G.3.4 : construct logical arguments in formal and informal methods with direct and indirect reasoning.
 Objective G.3.8 : explore and identify properties of quadrilaterals and verify the properties for parallelograms, rectangles, rhombuses, squares, and trapezoids.
 Objective G.3.15 : develop and apply formulas for area, perimeter, surface area, and volume and apply them in the modeling of practical problems.
• Subject : Science
• Grade or Course : Ninth Grade
• Standard : Standard 1: History and the Nature of Science (SC.S.1)
Students will:
 Detail : demonstrate an understanding of the history of science and the evolvement of scientific knowledge;
 Detail : demonstrate an understanding of science as a human endeavor encompassing the contributions of diverse cultures and scientists; and
 Detail : demonstrate an understanding of the nature of science.
 Objective SC.9.1.1 : formulate scientific explanations based on the student's observational and experimental evidence, accounting for variability in experimental results.
 Objective SC.9.1.2 : recognize that science has practical and theoretical limitations.
 Objective SC.9.1.5 : trace the development of key historical concepts and principles describing their impact on modern thought and life by identifying the scientist’s contributions.
• Standard : Standard 2: Science as Inquiry (SC.S.2)
Students will:
 Detail : demonstrate the abilities necessary to do scientific inquiry;
 Detail : demonstrate understanding about scientific inquiry; and
 Detail : demonstrate the ability to think and act as scientists by engaging in active inquiries, investigations and hands-on activities a minimum of 50% of the instructional time.
 Objective SC.9.2.1 : model and exhibit the skills, attitudes and/or values of scientific inquiry (e.g., curiosity, logic, objectivity, openness, skepticism, appreciation, diligence, integrity, ethical practice, fairness, creativity).
 Objective SC.9.2.2 : demonstrate ethical practices for science (e.g., established research protocol, accurate record keeping, replication of results and peer review).
 Objective SC.9.2.3 : apply scientific approaches to seek solutions for personal and societal issues.
 Objective SC.9.2.7 : demonstrate science processes within a problem solving setting (e.g., observing, measuring, calculating, communicating, comparing, ordering, categorizing, classifying, relating, hypothesizing, predicting, inferring, considering alternatives and applying).
• Standard : Standard 3: Unifying Themes (SC.S.3)
Students will:
 Detail : demonstrate the ability to draw conclusions about and predict changes in natural and designed systems.
 Objective SC.9.3.2 : apply evidence from models to make predictions about interactions and changes in systems.
• Standard : Standard 4: Science Subject Matter/Concepts
Students will:
 Detail : demonstrate knowledge, understanding and applications of scientific facts, concepts, principles, theories and models as delineated in the objectives;
 Detail : demonstrate an understanding of the interrelationships among physics, chemistry, biology and the earth and space sciences; and
 Detail : apply knowledge, understanding and skills of science subject matter/concepts to daily life experiences.
 Objective SC.9.4.1 : demonstrate an understanding of the interconnections of biological, earth/space and physical science concepts.
 Objective SC.9.4.26 : investigate formation and destruction of landforms.
 Objective SC.9.4.36 : relate changes in the Earth’s surface to the motion of lithospheric plates.
• Standard : Standard 5: Scientific Design and Application (SC.S.5)
Students will:
 Detail : demonstrate an understanding of the interdependence between science and technology;
 Detail : demonstrate the ability to utilize technology to gather data and communicate designs, results and conclusions.
 Objective SC.9.5.2 : cite examples of the interdependence of science and technology (e.g., new technologies have lead to development of new scientific knowledge).
 Objective SC.9.5.3 : apply scientific skills and technological tools to design a solution that addresses a personal or societal need.
 Objective SC.9.5.4 : analyze the consequences of imposed constraints on an engineering solution.
• Subject : Social Studies
• Grade or Course : Tenth Grade
• Standard : Standard 4: Geography (SS.S.4)
Students will:
 Detail : describe and explain the physical processes that shape the earth’s surface and create, sustain and modify the cultural and natural environment (Physical Systems);
 Detail : analyze the interaction of society with the environment (Environment and Society); and
 Objective SS.10.4.7 : identify the effect of geographic features, including climate, upon the environment.
• Standard : Standard 5: History (SS.S.5)
Students will:
 Detail : use the processes and resources of historical inquiry to gather, examine, compare, analyze and interpret historical data (Skills and Application);
 Objective SS.10.5.5 : identify and evaluate the interaction of early humans with their environment.

USA- ISTE: Profiles for Technology Literate Students (includes NETS for Students)
• Grade : Grades 9-12

Numbers in parentheses following each performance indicator refer to the standards category to which the performance is linked. The categories are:
1. Basic operations and concepts
2. Social, ethical, and human issues
3. Technology productivity tools
4. Technology communications tools
5. Technology research tools
6. Technology problem-solving and decision-making tools

Reprinted from National Educational Technology Standards for Students - Connecting Curriculum and Technology, copyright © 2000, ISTE (International Society for Technology in Education), 800.336.5191 (U.S. & Canada) or 541.302.3777 (Int’l), iste@iste.org, www.iste.org. All rights reserved. For more information about the NETS Project, contact Lajeane Thomas, Director, NETS Project, 318.257.3923, lthomas@latech.edu. Reprint permission does not constitute an endorsement by ISTE or the NETS Project.

 Performance Objective 7: Routinely and efficiently use online information resources to meet needs for collaboration, research, publications, communications, and productivity. (4, 5, 6)
 Performance Objective 8: Select and apply technology tools for research, information analysis, problem-solving, and decision-making in content learning. (4, 5)
 Performance Objective 9: Investigate and apply expert systems, intelligent agents, and simulations in real-world situations. (3, 5, 6)

USA- NCTM (Nat. Council of Teachers of Mathematics): Principles & Standards for School Mathematics
• Area : Standards
• Level : Grades 9–12
• Topic : Geometry
• Instructional program descriptor : Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
 Expectation : analyze properties and determine attributes of two- and three-dimensional objects;

USA- Nat. Council for Social Studies: Expectations of Excellence: Curriculum Standards for Social Studies
 Strand III: People, Places, and Environments: Social studies programs should include experiences that provide for the study of people, places, and environments.
 Strand VIII: Science, Technology, & Society: Social studies programs should include experiences that provide for the study of relationships among science, technology, and society.

USA- ITEA/CTTE/NCATE Curriculum Standards for Initial Programs in Technology Teacher Education
• Standard 7 : INSTRUCTIONAL STRATEGIES
Technology teacher education program candidates use a variety of effective teaching practices that enhance and extend learning of technology.
• Area : Knowledge Indicators:
 Indicator : Apply principles of learning and consideration of student diversity to the delivery of instruction.

USA- 21st Century Learning Skills & ICT Literacy
• Area : Information and communication technology literacy
 Skill : Thinking and problem-solving skills
 Skill : Critical thinking and systems thinking
 Skill : Problem identification, formulation, and solution
 Skill : Creativity and intellectual curiosity
• Area : Information and communication skills
 Skill : Information and media literacy skills
 Skill : Communication skills
• Area : Interpersonal and self-direction skills
 Skill : Interpersonal and collaborative skills
 Skill : Self-direction
 Skill : Accountability and adaptability
 Skill : Social responsibility