Unit 3: Rational Functions
Graphing Rational Functions Using Key Characteristics
Date: _
L.G.: I can sketch a rational function by using its key characteristics (domain, range, intercepts, asymptotes,
MHF4U
Date: _
Double Angle Formulas
L.G.: I can verify and use the double angle formulas.
Using your knowledge of compound angles, determine the following Double Angle Formulas:
Sine Double Angle Form
Unit 5: Trigonometric Functions
Date: _
L4: Graphing Transformations of Sinusoidal Functions
L.G.: I can sketch sinusoidal functions in radian measure using transformations.
Recall: General Transforma
MHF4U
Date: _
Compound Angle Formulas
L.G.: I can verify and use the compound angle formulas.
The Development of the Cosine compound angle formula
i)
ii)
iii)
iv)
v)
Consider the unit circle. Draw in
Unit 3: Rational Functions
Date: _
Extra Insert: The Limiting Value of a Function
Minds On: What happens to the value of a function f, as x gets closer and closer to a particular value of a? Does f(x)
Unit 5: Trigonometric Functions
Date: _
L1: Radian Measure
L.G.: I can use radian measurement to represent the size of an angle.
What is a RADIAN?
Definition of a Radian
Radians are an alternative way
Unit 5: Trigonometric Functions
Date: _
L2: Radian Measure and Angles on the Cartesian plane
L.G.: I can evaluate the trigonometric ratios for angles between 0 and 2.
Degrees vs. Radians
Special Angle
MCR 3UI
Date: _
L#3: The Parent Sinusoidal Functions
L.G.: I can sketch the parent functions of sine, cosine, and tangent using radian measure.
Part I: The Sine Function: For the following values of x
Unit 3: Polynomial Functions
Lesson #3: Characteristics of Polynomial Functions in Factored Form
Date: _
L.G: I can sketch the graph of a polynomial function given in factored form using its key featu
Unit 3: Rational Functions
Date: _
Solving Rational Equations
L.G.: I can solve simple rational equations in one variable algebraically, and verify solutions using technology.
Warm Up: Solve the follo
Unit 2: Polynomial Functions Investigation
Function
Degree
Equation and sketch of the Graph
1. y
2. y
2x
3
2x 1
3. y
x2
4. y
3x 2
5. y
(x
6. y
or y
2 x( x 3)
2x 2 6x
7. y
2
2) 2
x3
8. y
( x 2)(x 1)(x
Review of the Reciprocal Function and its Transformations
1
and state the following:
x
Domain :
Graph f ( x)
Range:
Asymptotes:
Intervals of Increase:
Intervals of Decrease:
Transformations of f ( x)
Unit 3: Rational Functions
Solving Rational Inequalities Graphically or Algebraically
Date: _
L.G.: I can solve a rational inequality both algebraically and by graphing.
Minds On:
Solve
a) Graphing: l
Unit 2: Polynomials
Date: _
Lesson 8: Solving Polynomial Equations
L.G.: I can use factoring skills to solve polynomial equations and problems involving polynomials
Minds On: A rectangular sheet of me
Unit 2: Polynomials
Date: _
Lesson #5: Dividing Polynomials
L.G.: I can divide one polynomial by another polynomial to determine the quotient and the remainder.
Warm Up: Divide the following numbers u