Mr Hickman's Class 2022-2023
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Vectors in the Plane


Basics of vectors in 2-D

Types of Problems:

  • Be able to use proper vocabulary and notation when discussing 2-D vectors
  • Be able to convert between the different versions of a position and a direction vector
  • Understand the difference between a position vector and a direction vector
  • Use parametric equations to model vector movement and position after time
  • Determine the magnitude of a vector from its direction vector
  • Determine directional angles of vectors 

Notes & Handouts

Practice 

Video and other resources

KHAN Academy: Basics of Vectors
CK 12 Link:
Vectors as Directed Line Segments
KHAN Academy: Magnitude of Vector
KHAN Academy:
Component Form of Vectors

Digital Resources


Vector Addition and Subtraction

Types of Problems:

  • Use vector addition and subtraction to model position after time
  • Connect vector addition and subtraction to vector polygons
  • Understand the implications of the parallelogram law for vectors

Notes & Handouts

Practice

​Video and other resources

KHAN Academy:
Vector Addition and Subtraction
KHAN Academy: 
Adding and Subtracting Vectors 2

​Digital Resources

DESMOS File: Scalars and Vectors & Parallelogram Law for Vectors in 2-D

Scalar Vector Multiplication

​Types of Problems:

  • Connect the idea of scalar to position of a vector
  • Use scalar multiples of vectors along with vector addition and vector subtraction to create vector polygons and vector equations
  • Use scalars to determine unit vectors 
  • Connect concept of parallel vectors to scalars

​Practice

​Video and other resources

KHAN Academy: Scalar Multiplication
KHAN Academy: Unit Vector
KHAN Academy:
Vector Addition and Subtraction

​Notes & Handouts

​​Digital Resources


Combined Vector Operations

​Types of Problems:

  • Use a combination of vector operations to represent position including scalar multiplication, vector addition and subtraction
  • Write vector equations related to a given vector polygon

​Practice

​Video and other resources

KHAN Academy:
Combined Vector Operations

​Notes & Handouts

​Digital Resources


Magnitude of a Vector

​​Types of Problems:

  • Determine the magnitude of a vector regardless of types of vectors and given information
  • Be able to distinguish direction from magnitude
  • Be able to determine equivalent vectors 

​​Notes & Handouts

​​Practice

​Video and other resources

KHAN Academy:
​Magnitude and Directional Form of Vectors

​Digital Resources


Direction of a Vector

​​Types of Problems:

  • Determine directional angles of vectors 
  • Be able to distinguish direction from magnitude
  • Be able to distinguish difference be parallel, opposite, and perpendicular as it relates to vectors
  • Review reference angles and basics of trigonometry

​​Practice

​Video and other resources

KHAN Academy:
​Magnitude and Directional Form of Vectors

​​Notes & Handouts

​Digital Resources


Applications related to Vectors in 2-D

​​Types of Problems:

  • Be able to apply vectors to determine speed and direction
  • Be able to express position using a variety of notations and reference methods
  • Be able to apply vectors in physics applications 

​​Practice

​​Video and other resources

KHAN Academy: Applications of Vectors

​​Notes & Handouts

Digital Resources


Additional Resources


KHAN Academy Vectors
CK 12 Link Vectors
Vector Operations

Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you