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Vectors and Trigonometry

Vectors and Trigonometry. Unit Portfolio Catherine Sherry DMHS Mathematics. Unit Summary.

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Vectors and Trigonometry

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  1. Vectors and Trigonometry • Unit Portfolio • Catherine Sherry • DMHS Mathematics

  2. Unit Summary • Students will use their knowledge of trigonometric relationships to explore and solve a variety of application problems. Non right triangle situations will be investigated as well as two dimensional vector applications.

  3. Essential Question How can triangles help us determine the location of an object?

  4. Curriculum-Framing Questions Unit Questions • What impact does changing the angle of elevation to an object have on the calculation of the object’s location or the location of the observer? • What does Work represent and what units are used to describe it? Content Questions • What is an angle of elevation or depression? • What is a vector? • How do you calculate the magnitude of a vector and what does this result mean? • What is the visual representation of bearing and the horizontal and vertical components of location? • What does the dot product of two vectors represent? • How is Work calculated and how is this value related to the Force?

  5. Project Objectives and Vision • Students will solve application problems involving missing portions of triangular situations. • Students will demonstrate understanding of the relationship between angles and position as they relate to moving objects such as airplanes and boats. • Students will explore vectors by visual presentations that include variable sliders that allow for adjustment of parameters. • Students will understand the concept of Force and Work and be able to act out an application of each. • Students will use an interactive program to analyze the impact of variations of application problem descriptors.

  6. Student Assessment Formative Assessments • Questioning • Student Brainstorming • Graphic Organizers • Student Conferences • Homework Checklist • Student Presentations Summative Assessments • Unit Test • Submitted Written Work

  7. 21st Century SkillsStudents involved in this project will be encouraged to use the following life skills. • Collaboration—Working productively with others • Self-direction—Managing and taking responsibility for their own learning • Information literacy—Locating, evaluating, and a variety of sources looking at the world • Communication—Reading, writing, and speaking • Problem solving—Framing, analyzing, and solving problems • Critical thinking—Reasoning about information, forming opinions, and making decisions.

  8. Next Steps

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