Unit 7: Derivatives of Other Functions
Date: _
Lesson #3: Applications of Trigonometric Functions
Warm Up Differentiate the following reciprocal trig ratios by first converting to the corresponding trig ratios and then
applying the chain rule.
a)
y
b) y
s
MCV 4U
Lesson #4: Intersection of Lines in Two and Three Space
L.G.: I can determine the point of intersection of two lines in R2 and R3.
Intersection of Two Lines in R2
Q: In how many ways can two lines in R2 intersection? Draw a sketch for each case.
Ex
MCV4U
Date: _
Lesson #4: The Natural Exponential Function & its Derivative
L.G.: I can define and graph the natural exponential function e x and take its derivative.
Warm Up Review of Logs and Exponents
Graph the exponential function y
2 x and its inverse
Unit 7: Derivatives of Other Functions
Date: _
Lesson #1-2: Derivatives of Trigonometric Functions
L.G.: I can take the derivative of the primary trig functions of y=sinx, y=cosx, and y=tanx.
Minds On: Given the graph of y
f (x) , sketch y
f (x) . Identif
Unit VI: Lines & Planes
Date: _
Lesson 3: Equations of Lines in
LG: I can represent lines in three space using vector, parametric and symmetric equations.
A line in
can also be defined by either vector, parametric, or symmetric equations. It cannot be def
MCV4U
Date: _
Lesson #5: The Natural Logarithmic Function
L.G.: I can define the graph the natural logarithmic function as well as take its derivative.
Minds On
Graph the natural exponential function y
e x and its inverse.
Review: Laws of Logs and Ln
Stat
MCV4U
Date:_
Lesson #6: The Scalar Equation of a Plane in Space
L.G.: I can determine a scalar equation of a plane and convert between vector and scalar forms.
Recall: To uniquely define a plane in space, we need either:
Besides the vector and parametric
MCV4U
Date:_
Lesson #8: Intersection of Three Planes
L.G.: I can describe how two and three planes intersect in space and solve for the point of intersection.
Intersection of Three Planes
Definition: Coplanar Vectors
Two or more vectors are coplanar if th
Unit VI: Lines & Planes
Date: _
Lesson #2: The Cartesian/Scalar Equation of a Line
L.G.: I can define the scalar equation of a line in a plane and determine the distance from a point to a line.
Normal Vector
Another way to define the equation of a line is
Unit VI: Lines & Planes
Date: _
Lesson #1: Equations of Lines in Two-Space
LG: I can represent lines in two space using vector, parametric and symmetric equations.
Q: What pieces of information are required to sketch a line in two-space?
Investigation: Sk
MCV4U
Date:_
Lesson #7: The Intersection of a Line and a Plane and Two Planes
L.G.: I can determine the possible ways that a line and plane intersect as well as the solution to the system.
Definitions:
A system of planes is consistent if it has one or mor
MCV4U
Date:_
Lesson #5: The Vector Equation of a Plane in Space
L.G.: I can determine the vector and parametric equations of a plane in space.
Recall: To uniquely define a line in space, we need either:
Definition of a Plane
A plane is a 2-Dimensional fla