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How are vectors in a plane or in space represented and what operations may be performed with vectors? |
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Student Learning Map
- Topic:Vectors
- Subject(s):Math
- Days:15
- Grade(s):11, 12
Key Learning:
Represent vectors as directed line segments and perform mathematical operations on vectors.
Perform the operations using complex numbers in polar/trig form (add, subtract, multiply, divide, power, roots).
Unit Essential Question(s):
Lesson Essential Question(s):How is the component form of a vector determined? (A)How is the magnitude of a vector determined? (A)How is the direction angle of a vector determined? (A)
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Textbook Ancillary Material Technology Support Program Hands-on manipulatives Kaplan Lesson Plans
Resources:
Acquisition Lesson(s):
1. How is the component form of a vector determined?2. How are two vectors added or subtracted?3. How is it determined if two vectors are parallel or perpendicular?4. How is the magnitude of a vector determined?5. How is the direction angle of a vector determined?6. How is scalar mulitiplication perform on a vector?7. How is the dot product of two vectors determined?8. How is the measure of the angle between two vectors determined?9. How are vectors represented as component vectors?Extended Thinking Lesson(s):
1. How are vectors useful to solving real-world problems?