Curve Sketching
Date: _
Lesson #4: Asymptotes for Rational Functions
LG.: I can determine the vertical, horizontal and oblique asymptotes of rational functions and use them as an aid in curve sketching.
c
0
f ( x)
Recall: A rational function h( x)
has a v
Unit 5: Algebraic Vectors
Date: _
Lesson #3: Operations with Algebraic Vectors
LG: I can perform the operations of addition, subtraction and scalar multiplication on algebraic vectors in space.
Recall: Any vector in
can be written as a position vector fro
Unit 5: Algebraic Vectors
Date: _
Lesson #4: Vector Multiplication: The Dot Product (Scalar Quantity)
L.G.: I can perform the operation of dot product on two vectors and describe related properties.
Definition:
Work = (distance traveled) x (magnitude of t
Unit 5: Algebraic Vectors
Date: _
Lesson #2: Operations with Algebraic Vectors in
LG: I can perform the operations of addition, subtraction and scalar multiplication on algebraic vectors.
Investigation
Given
a)
and
determine:
b)
c)
In General, given
and
t
Unit IV: Intro to Vectors
Date:_
Lesson #1: Introduction to Vectors
L.G.: I can recognize a vector as a quantity with both magnitude and direction.
Two types of Quantities
Scalar Quantities: possess magnitude(size) only
Vector Quantities: possess magnitud
Unit 4: Geometric Vectors
Date:_
Lesson #4: Velocity as a Vector
L.G.: I can solve problems involving the addition, subtraction, and scalar multiplication of vectors, including problems arising from
real-world applications (involving forces or velocities)
Unit 5: Algebraic Vectors
Date: _
Lesson #1: Algebraic Vectors in
and
LG: I can demonstrate an understanding of vectors in two & three-space by representing them algebraically.
Vectors in : The Cartesian and Polar Planes
To define a vector we either need
MCV4U
Date: _
Putting it all Together: An Algorithm for Curve Sketching
L.G.: I can use the information given by a functions first and second derivative to create an accurate sketch of the function.
We now have the necessary skills required to sketch accu
Unit 5: Algebraic Vectors
Date: _
Lesson #5: Vector Multiplication - The Cross Product (Vector Quantity)
L.G.: I can perform the operation of cross product on two vectors and describe related properties.
The Dot product is a combination of multiplication
Unit 4: Geometric Vectors
Date: _
Lesson 5: Force as a Vector
L.G.: I can solve problems involving the addition, subtraction, and scalar multiplication of vectors, including problems
arising from real-world applications (involving forces or velocities).
A
MCV4U
Date: _
Lesson #6: Applications of Dot and Cross Product
L.G: I can apply my knowledge of vector multiplication (dot & cross products) to solve a variety of real life problems.
Dot Product Applications: Work
Recall:
Work done = the distance travelle
Unit IV: Intro to Vectors
Date: _
Lessons #2&3: Geometric Vector Laws and Properties
In many applications of physics, we must find the combined sum of two or more vectors such as forces, displacement and velocity. For
example, how does wind velocity affec