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 Beginner's Guide to Propulsion Forces in a Climb - Vectors Subject Area(s): Pre-Calculus, Algebra II Grade Level: 9-12 National Standards: Science Science and Technology - Understandings about science and technology. Technology Technology Productivity Tools - Use technology tools and resources for managing and communicating personal/professional information. Technology Communications Tools - Select and apply technology tools for research, information analysis, problem-solving, and decision-making in content learning. Mathematics Mathematics as Problem-Solving - Apply the process of mathematical modeling to real-world situations. Mathematical Connections - Recognize equivalent expressions of the same concept. Algebra - Operate on expressions and matrices, and solve equations and inequalities. Trigonometry - Explore real-world phenomena using the sine and cosine functions. Mathematics as Communication - Reflect on and clarify their thinking about mathematical ideas and relationships. Objectives: After reading Forces in a Climb and Vector Components from the Beginner's Guide to Propulsion, you will show that you understand the information by explaining each of the formulas using vectors. The Beginner's Guide to Propulsion is a Web site of information prepared at NASA Glenn Research Center to help you better understand aircraft engine propulsion. In the Propulsion Index, locate Math Fundamentals and open the slide entitled Vector Components. Then find Aircraft Motion and open the slide entitled Forces in a Climb Study the slides and use them as background information to help you complete the activity. Assessment: You will be evaluated on the accuracy and/or feasibility of your answers. Evaluation: You will demonstrate your ability to explain the equations by using vectors. Submitted by: Sheila Kegg, North Olmsted City Schools, North Olmsted, Ohio

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