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the Center for Innovation in Engineering and Science Education
This is a high school instructional unit that features nine lessons relating to vectors. Students build understanding of vector properties as they learn airplane navigation. Problem-based learning activities include reading real-time weather maps, tracking airplanes flying in U.S. skies, calculating vector components, analyzing effects of wind velocity, and completing training similar to a private pilot certification program. The unit culminates with a pilot flight test. Participants also have access to help from experts at the Polaris Career Center. Comprehensive teacher guides, student guides , reference materials, and assessments are included.
This resource was developed by the Center for Innovation in Science and Engineering Education (CIESE). Participation is cost-free; additional options are available for registered users. Editor's Note: This engaging project will help students bridge the gap between vectors as a concept and the use of vector calculation by real people in real situations. It incorporates both scientific and engineering practices, a key component of the new NextGen Science Framework. It is intended as a multi-week unit for high school physics, but may be easily parsed into segments. Sections 1, 2, and 3 are adaptable for grades 8 and 9.
AAAS Benchmark Alignments (2008 Version)2. The Nature of Mathematics
2B. Mathematics, Science, and Technology
2C. Mathematical Inquiry
4. The Physical Setting
4F. Motion
9. The Mathematical World
9B. Symbolic Relationships
12. Habits of Mind
12B. Computation and Estimation
12C. Manipulation and Observation
Common Core State Standards for Mathematics AlignmentsStandards for Mathematical Practice (K-12)
MP.1 Make sense of problems and persevere in solving them.
MP.6 Attend to precision.
Expressions and Equations (6-8)
Represent and analyze quantitative relationships between
dependent and independent variables. (6)
Solve real-life and mathematical problems using numerical and
algebraic expressions and equations. (7)
High School — Number and Quantity (9-12)
Vector and Matrix Quantities (9-12)
High School — Functions (9-12)
Interpreting Functions (9-12)
High School — Geometry (9-12)
Similarity, Right Triangles, and Trigonometry (9-12)
Common Core State Reading Standards for Literacy in Science and Technical Subjects 6—12
Range of Reading and Level of Text Complexity (6-12)
This resource is part of a Physics Front Topical Unit.
Topic: Kinematics: The Physics of Motion
Unit Title: Vectors A unique and highly engaging two-week unit on vectors. Beginning physics students build understanding of vector properties by doing real pilot navigation training. This problem-based learning module comes with complete guides for teacher and learner. The final assessment is a virtual pilot test flight. Cost-free with teacher registration Link to Unit:
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Record Link
<a href="http://www.thephysicsfront.org/items/detail.cfm?ID=8382">Center for Innovation in Engineering and Science Education. Navigational Vectors. Hoboken: Center for Innovation in Engineering and Science Education, January 31, 2008.</a>
AIP Format
(Center for Innovation in Engineering and Science Education, Hoboken, 2005), WWW Document, (http://ciese.org/curriculum/vectorproj/).
AJP/PRST-PER
Navigational Vectors, (Center for Innovation in Engineering and Science Education, Hoboken, 2005), <http://ciese.org/curriculum/vectorproj/>.
APA Format
Navigational Vectors. (2008, January 31). Retrieved January 30, 2015, from Center for Innovation in Engineering and Science Education: http://ciese.org/curriculum/vectorproj/
Chicago Format
Center for Innovation in Engineering and Science Education. Navigational Vectors. Hoboken: Center for Innovation in Engineering and Science Education, January 31, 2008. http://ciese.org/curriculum/vectorproj/ (accessed 30 January 2015).
MLA Format
Navigational Vectors. Hoboken: Center for Innovation in Engineering and Science Education, 2005. 31 Jan. 2008. 30 Jan. 2015 <http://ciese.org/curriculum/vectorproj/>.
BibTeX Export Format
@misc{
Title = {Navigational Vectors},
Publisher = {Center for Innovation in Engineering and Science Education},
Volume = {2015},
Number = {30 January 2015},
Month = {January 31, 2008},
Year = {2005}
}
Refer Export Format
%T Navigational Vectors
EndNote Export Format
%0 Electronic Source Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. This resource is stored in 5 shared folders. You must login to access shared folders. Navigational Vectors:
Is a Teaching Guide For
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The Physics Classroom: Vectors - Fundamentals and Operations
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The Physics Classroom: Vector Addition
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Is a Teaching Guide For
Physics Classroom: Vector Components
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