Second Semester PreCalculus 2019-2020

Topics

  • Vectors 
  • Vector Operations
  • law of cosines 
  • law of sines
  • applications that are related to Vectors
Additional Practice 

Goals

  • Be able to use vector notation and vocabulary properly
  • Be able to write a vector from two given points and desired direction
  • Be able to perform vector operations and represent in 2-D
  • Be able to determine magnitude of a given vector regardless of forms of direction vector given
  • Use the law of parallelograms to show two paths for resultant vectors
  • Use polar coordinates to denote vectors 
  • Convert from Rectangular Coordinates to Polar Coordinates 
Practice
1-24-20
  • Introduction to Vectors: Basic Vocabulary
1-28-20
  • Formative Assessment on Vector Basics
    • determine a resultant vector from a grid
    • use the parallelogram rule for vectors
    • write a vector equation from vector triangle and vector parallelogram
    • state the direction vector in a variety of notations (algebraic)
    • determine the unit vector of an altgebraic form vector
    • compare vectors characteristics 
    • perform linear combinations on algebraic vectors
  • KUTA Practice Worksheet 1
    • ​​perform scalar multiplication
    • write a vector from given points
    • perform linear combinatons of direction vectors in 2-D
    • write a unit vector based on end points of a vector 
    • Answers attached​
1-30-20
  • KUTA Practice Worksheet 2
    • ​​write a directional vector based on given coordinates
    • write a directional vector using polar form of a vector
    • convert rectangular to polar vector form and vice versa
    • find a directional angle for a vector using inverse tangent and reference angles 
  • KUTA Practice Worksheet 3
    • ​​​​write a directional vector based on given coordinates
    • write a directional vector using polar form of a vector
    • convert rectangular to polar vector form and vice versa
    • find a directional angle for a vector using inverse tangent and reference angles 
2-5-20
  • FA Dot Product and Angles formed by two vectors
    • Calculate dot product
    • Determine angle formed between two vectors with same endpoint
    • Classify vectors as parallel, orthogonal, or neither parallel nor orthogonal
    • Recognize when vectors are parallel and in opposite directions
    • Recognize when vectors are parallel and in same direction
Links and Resources
LARSON 10th Edition
Vectors Resources
Picture
Mr Hickman's Webpage
1-7-20 to 1-24-20 Topics