MATHEMATICS Standards Addressed in the FMC:IEM Curriculum
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National (5-8) Students will . . .
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National (9-12) Students will . . .
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Algebra
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Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships
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Use symbolic algebra to represent and explain mathematical relationships
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Geometry
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Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects
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Draw geometric objects with specified properties, such as side lengths or angle measures
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Recognize and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life
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Analyze properties and determine attributes of two- and three-dimensional objects
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Draw and construct representations of two- and three-dimensional geometric objects using a variety of tools
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Use geometric ideas to solve problems in, and gain insights into, other disciplines and other areas of interest such as art and architecture
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Measurement
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Understand, select, and use units of appropriate size and type to measure angles, perimeter, area, surface area, and volume
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Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision
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Make decisions about units and scales that are appropriate for problem situations involving measurement
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Understand and use formulas for the area, surface area, and volume of geometric figures, including cones, spheres, and cylinders
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Data Analysis and Probability
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Select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots
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Understand histograms, parallel box plots, and scatterplots and use them to display data
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California (Grades 6-7) Students will . . .
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California (9-12) Students will . . .
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Algebra and Functions
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(2.3) Solve problems involving rates, average speed, distance, and time. (6)
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Algebra (8-12)
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(1.0) Identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable:
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(5.0) Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
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Measurement and Geometry
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(1.3) Use measures expressed as rates (e.g., speed, density) and measures expressed as products (e.g., person-days) to solve problems; check the units of the solutions; and use dimensional analysis to check the reasonableness of the answer. (7)
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(2.1) Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic three-dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders. (7)
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Geometry (8-12)
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(10.0) Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids.
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(11.0) Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids.
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Statistics, Data Analysis, and Probability
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(2.5) Identify claims based on statistical data and, in simple cases, evaluate the validity of the claims. (6)
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(1.1) Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data. (7)
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Probability and Statistics
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(8.0) Students organize and describe distributions of data by using a number of different methods, including frequency tables, histograms, standard line and bar graphs, stem-and-leaf displays, scatterplots, and box-and-whisker plots.
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Mathematical Reasoning
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(1.1) Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns. (6, 7)
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(2.5) Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. (6, 7)
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Process
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ENGLISH/LANGUAGE ARTS Standards Addressed in the FMC:IEM Curriculum
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California (Grade 6 provided as representative of grades 5-8)
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California (9-10)
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Reading
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(2.4) Clarify an understanding of texts by creating outlines, logical notes, summaries, or reports.
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(2.5) Follow multiple-step instructions for preparing applications (e.g., for a public library card, bank savings account, sports club, league membership).
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(2.2) Prepare a bibliography of reference materials for a report using a variety of consumer, workplace, and public documents.
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(2.3) Generate relevant questions about readings on issues that can be researched.
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(2.4) Synthesize the content from several sources or works by a single author dealing with a single issue; paraphrase the ideas and connect them to other sources and related topics to demonstrate comprehension.
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(2.5) Extend ideas presented in primary or secondary sources through original analysis, evaluation, and elaboration.
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(2.6) Demonstrate use of sophisticated learning tools by following technical directions (e.g., those found with graphic calculators and specialized software programs and in access guides to World Wide Web sites on the Internet).
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Writing
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(1.4) Use organizational features of electronic text (e.g., bulletin boards, databases, keyword searches, e-mail addresses) to locate information.
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(2.3) Write research reports.
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(2.5) Write persuasive compositions.
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1.3 Use clear research questions and suitable research methods (e.g., library, electronic media, personal interview) to elicit and present evidence from primary and secondary sources.
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1.4 Develop the main ideas within the body of the composition through supporting evidence (e.g., scenarios, commonly held beliefs, hypotheses, definitions).
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1.5 Synthesize information from multiple sources and identify complexities and discrepancies in the information and the different perspectives found in each medium (e.g., almanacs, microfiche, news sources, in-depth field studies, speeches, journals, technical documents).
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(2.3) Write expository compositions, including analytical essays and research reports.
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(2.4) Write persuasive compositions.
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Written and Oral English Language Conventions
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(1.1) Use simple, compound, and compound-complex sentences; use effective coordination and subordination of ideas to express complete thoughts.
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Listening and Speaking
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(1.4) Select a focus, an organizational structure, and a point of view, matching the purpose, message, occasion, and vocal modulation to the audience.
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(1.5) Emphasize salient points to assist the listener in following the main ideas and concepts.
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(1.6) Support opinions with detailed evidence and with visual or media displays that use appropriate technology.
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(1.7) Use effective rate, volume, pitch, and tone and align nonverbal elements to sustain audience interest and attention.
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(2. 1) Deliver informative presentations.
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(2.4) Deliver persuasive presentations.
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(2.5) Deliver presentations on problems and solutions.
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(1.3) Choose logical patterns of organization (e.g., chronological, topical, cause and effect) to inform and to persuade, by soliciting agreement or action, or to unite audiences behind a common belief or cause.
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(1.4) Choose appropriate techniques for developing the introduction and conclusion (e.g., by using literary quotations, anecdotes, references to authoritative sources).
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(1.5) Recognize and use elements of classical speech forms (e.g., introduction, first and second transitions, body, conclusion) in formulating rational arguments and applying the art of persuasion and debate.
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(1.6) Present and advance a clear thesis statement and choose appropriate types of proof (e.g., statistics, testimony, specific instances) that meet standard tests for evidence, including credibility, validity, and relevance.
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(1.7) Use props, visual aids, graphs, and electronic media to enhance the appeal and accuracy of presentations.
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(1.8) Produce concise notes for extemporaneous delivery.
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(1.9) Analyze the occasion and the interests of the audience and choose effective verbal and nonverbal techniques (e.g., voice, gestures, eye contact) for presentations.
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(2.2) Deliver expository presentations.
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(2.6) Deliver persuasive presentations.
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TECHNOLOGY STANDARDS Addressed in the FMC:IEM Curriculum
(National Education Technology Standards, ISTE)
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National (K-12) Students will . . .
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Creativity and Innovation
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Apply existing knowledge to generate new ideas, products, or processes.
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Create original works as a means of personal or group expression.
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Use models and simulations to explore complex systems and issues.
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Identify trends and forecast possibilities.
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Communication and Collaboration
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Interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media.
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Communicate information and ideas effectively to multiple audiences using a variety of media and formats.
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Contribute to project teams to produce original works or solve problems.
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Research And Information Fluency
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Plan strategies to guide inquiry.
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Locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media.
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Evaluate and select information sources and digital tools based on the appropriateness to specific tasks.
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Process data and report results.
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Critical Thinking, Problem Solving, and Decision Making
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Identify and define authentic problems and significant questions for investigation.
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Plan and manage activities to develop a solution or complete a project.
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Collect and analyze data to identify solutions and/or make informed decisions.
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Use multiple processes and diverse perspectives to explore alternative solutions.
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Digital Citizenship
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Exhibit a positive attitude toward using technology that supports collaboration, learning, and productivity.
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Technology Operations and Concepts
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Understand and use technology systems.
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Select and use applications effectively and productively.
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Troubleshoot systems and applications.
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Transfer current knowledge to learning of new technologies.
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Learning Objectives
SCIENCE Students will . . .
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Use scientific terms to explain how earthquakes result from plate motions.
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Rank regions in terms of the amount, intensity, and magnitude of earthquakes.
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Use scientific, economic, and sociocultural reasons to argue for the selection of a location for collection of baseline earthquake data.
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Identify multiple ways that human populations, resources, and environments shape and are shaped by probability and scope of natural hazards.
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Investigate a science-based societal issue by researching the literature, analyzing data, and communicating the findings.
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MATHEMATICS Students will . . .
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Solve problems involving rates, average speed, distance, and time.
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Compute areas of rectangles.
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Identify claims based on statistical data.
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Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns.
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Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
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ENGLISH/LANGUAGE ARTS Students will . . .
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Logically organize a digital presentation (e.g., chronological, topical, cause and effect) to inform and to persuade, by soliciting agreement or action, or to unite audiences behind a common belief or cause.
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Use clear research questions and suitable research methods (e.g., library, electronic media, personal interview) to elicit and present evidence from primary and secondary sources.
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Use props, visual aids, graphs, and electronic media to enhance the appeal and accuracy of presentations.
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Create and deliver a persuasive presentation.
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TECHNOLOGY Students will . . .
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Interact, collaborate, and publish an original multimedia presentation with peers employing a variety of digital environments and media.
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Contribute to project teams to produce original works or solve problems.
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Locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media.
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Identify and define authentic problems and significant questions for investigation.
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ENGINEERING Students will . . .
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Employ mathematical modeling and consider constraints and limitations in the creation of a flight plan.
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Explore careers in engineering.
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Use the engineering design process to develop an earthquake-resistant structure.
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Unit Timeline
Day 1
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Day 2
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Day 3
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OPTIONAL (1-3 days)
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Day 4
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Day 5
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Section 1: Improving Earthquake Monitoring
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Section 2
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Students are introduced to the Flight Mission Challenge and are assigned teams and roles.
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In teams and role-specific groups, students and complete the Jigsaw Challenge Brainstorm and Team Members worksheets.
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In small groups, students begin their study of what causes earthquakes by completing the Plate Tectonics and Volcanoes activity.
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In pairs, students complete their study of earthquakes by completing the Plate Tectonics and Earthquakes activity.
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In pairs, students begin to identify possible site locations.
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Students consider ways to mitigate earthquake damage.
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In the Engineering Extension, student teams complete the Quaky- Shaky Design Challenge.
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Student teams construct and test an earthquake-resistant structure.
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Students complete the Quaky-Shaky Design Challenge independently.
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On a separate date, teams test their structures.
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Students consider examples of G-III UAVSAR missions that were recently conducted.
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Teams reach consensus on site selection through sharing their findings (from Day 3) within their teams.
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Teams construct their argument for their selected site using the Argument Construction Worksheet.
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Teams draft their Presentation Flowchart – Site Selection.
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In the introduction to flight planning, students learn more about the G-III and UAVSAR instruments.
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Students observe a demonstration on the autopilot (Totally Tubular) and complete the Totally Tubular Algebra Problem Worksheet.
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Students learn how the UAVSAR takes images and how the area of data collection varies with altitude.
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In pairs, students complete the Swath Geometry Problem Set.
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Day 6
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Day 7
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Day 8
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Day 9
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Day 10
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Exam
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Presentations
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Section 2: Elements of Flight Planning
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Culminating Activities
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Students learn more about the process of collecting and analyzing differential interferometric data.
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In pairs, students complete the Interpreting Interferograms activity.
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In pairs, students complete the Fight Plan Draft and share with their teams to reach consensus on the basics of the flight plan.
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As a class, students view the Online Flight Plan Tutorial and prepare for their day in the computer laboratory.
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COMPUTER LAB
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COMPUTER LAB
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COMPUTER LAB
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Teams present their multimedia presentations
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Proposals are judged and top winners are selected for submission to NASA.
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In pairs, students create their team flight plan using the G-III Online Flight Planning Tool. Each pair of students will create the same team plan; this will allow teams to compare plans and choose the best results for reporting.
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Teams draft their Presentation Flowchart - Flight Plan.
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Teams work on their multimedia presentation.
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Teams conference with the teacher.
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Teams continue work on their multimedia presentation.
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Team conferences continue as needed.
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Teams complete their presentations independently.
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Teacher Notes
TEACHER RESOURCES
FMC: IEM Teacher Kit - The FMC: IEM Teacher Kit is available from the NASA Dryden Education Resource Center and includes the following resources:
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Totally Tubular Demonstration
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California fault map (2 x 3 ft)
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U.S. fault map (2 x 3 ft)
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Sample aeronautical chart (2 x 3 ft)
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G-III Lithograph (8.5 x 11)
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