Tentative Schedule for Term 1

MPJ-NS MHF 4U1

TENTATIVE SCHEDULE FOR TERM 1

CHAPTER 1 - 8

DATE / TOPIC / NOTES
Oct 1, 13 / -Admin: Attendance –Fee
-Review of the Prerequisite Skills:
·  Define Functions
·  Domain and Range
·  The Degree of Functions
·  The Finite Difference
·  Linear and Quadratic: Equations and Graphs
·  Transformations of Functions / -Course Information
-Preview
Oct 1, 13 / 1.1 Power Functions y = anxn
·  Identify Polynomial Functions
·  State the Degree and the Leading Coefficient
·  Even Degree/Odd Degree Power Functions & Symmetry
·  The Sign of The Leading Coefficient
·  Domain/Range
·  Symmetry
·  Describe End Behaviors
1.2 Characteristics of Polynomial Functions:
·  The Degree of Functions
·  The sign of the Leading Coefficient
·  Domain/ Range
·  The maximum number of the x-intercepts
·  The maximum number of the local max./min
·  The end behaviors
·  Any Symmetry (Even/Odd)
·  The Finite Differences: The sign and value of the constant Finite Differences / Text: McGraw Hill- Ryerson, Advanced Functions
Oct 3 / 1.3 Equations and Graphs of Poly.
Functions
From the graphs of Polynomial Functions or the Equations in Factored Form, State:
·  The Degree and the sign of the Leading Coefficient (LC)
·  The End Behaviors
·  The x-intercepts
·  The intervals where the function is positive/negative
·  The Zeros of Order 1, 2, 3.
Determine Algebraically if the function even or odd.
Determine the Equations of Poly. Functions given graphs or given the degree and intercepts. / Homework:
Assignment 1A
(1.1-1.3)
Oct 8 / Quiz Chapter 1 (1.1-1.3) (30’)
1.4 Transformations of Polynomial Functions:
f(x) = a [k(x – p)]n + q
·  The Roles of a, k, p, q in transformations from the Parent Function f(x) = xn
·  Given the transformed Equations, State the transformations from the Parent Functions
·  Given the Transformations, Write the transformed Equations
1.5 Slope of the Secant and The Average Rate of Change / Quiz Chapter 1 (1.1-1.3)
Assignment 1A Due
Oct 10
Oct 15
/ 1.6 Slope of the Tangent and The Instantaneous Rate of Change.
REVIEW EXERCISES-CHAPTER 1
TEST CHAPTER 1 (60’) – OCT 17
2.1 The Remainder Theorem
/ Homework: Assignment 1B
(1.4 – 1.6) & Review Ex.
TEST Chapter 1
Assignment 1B Due
Oct 17 / 2.2 The Factor Theorem
2.3 Factoring Polynomials / Homework:
Assignment 2A
(2.1 – 2.3)
Oct 22 / Quiz Chapter 2 (30’)
2.4 Solving Polynomial Equations
2.5 Solving Inequalities
REVIEW EXERCISES (OCT 24) / Quiz Chapter 2 (2.1-2.3)
Assignment 2A Due
Homework: Assignment 2B (2.4-2.5) & Review Ex.
Oct 29 / Test Chapter 2 (60’)
3.1 Rational Functions: Reciprocal of Linear Functions
3.2 Rational Functions: Reciprocal of Quadratic Functions / Test Chapter 2(2.1-2.5)
Assignment 2B Due
Homework:
Assignment 3A (3.1&3.2)
Oct 31 / 3.3 Rational Functions of the form f(x) =
ax + b
cx + d
3.4 Rational Equations and Inequalities / H/w: Assignment 3A (3.3)
Nov 5 / Quiz Chapter 3 (3.1-3.3)
3.5 Making Connections with Rational Equations and Functions
Review Exercises / H/w: Assignment 3B
(3.4-3.5)
Assign. 3A Due
H/w: Review Ex.
Nov 7 / Test Chapter 3 (3.1-3.5)
4.1 Radian Measure
4.2 Trig. Ratios and Special Triangles / Assignment 3B Due
H/w: Assignment 4A (4.1& 4.2)
Nov 12 / 4.3 Equivalent Trig. Expressions
4.4 Compound Angle Formulas / H/w: Assignment 4A (4.3)
H/w: Assignment 4B(4.4)
Nov 14 / Quiz Chapter 4(4.1-4.3)
4.5 Prove Trig. Identities
Review Exercises / Assign. 4A Due
H/w: Assign. 4B (4.5)
& Review Ex.
Nov 19 / Test Chapter 4(4.1-4.5)
5.1 Graphs of Sines, Cosines, and Tangent Functions
5.2 Graphs of Reciprocal Trig. Functions / Assign. 4B Due
H/w: Assign 5A (5.1-5.2)
Nov 21 / 5.3 Sinusoidal Functions
5.4 Solve Trig. Equations / H/w: Assign. 5A (5.3)
H/w: Assign. 5B (5.4)
Nov 26 / Quiz C 5(5.1-5.3)
5.5 Making Connections and Instantaneous Rate of Change
Review Exercises / Assign. 5A Due
H/w: Assign. 5B (5.5) & Review Ex.
Nov 28 / Test Chapter 5(5.1-5.5)
6.1 The Exponential Function and Its Inverse / Assign. 5B Due
H/w: Assign. 6A (6.1)
Dec 3 / 6.2 Logarithms
6.3 Transformations of Log. Functions / H/w: Assign. 6A (6.2-6.3)
Dec 5 / Quiz Chapter 6 (6.1-6.3)
6.4 Power Laws of Log.
6.5 Log. Scales in Physical Science
Review Exercises / Assign. 6A Due
H/w: Assign. 6B (6.4-6.5) & Review Ex.
Dec 10 / Test C.6 (6.1- 6.5)
7.1 Equivalent Form of Exponential Equations / Assign. 6B Due
H/w: Assign. 7A (7.1)
Dec 12 / 7.2 Solving Exponential Equations
7.3 Product and Quotient Laws of Log. / H/w: Assign. 7A (7.2-7.3)
Dec 17
Dec 19 / Quiz C7 (7.1-7.3)
7.4 Solve Log. Equations
7.5 Math Models with Exp. And Log. Equations
Review Ex.
Test C7 (7.1-7.5) / Assign 7A Due
H/w: Assign. 7B (7.4-7.5)
H/w: Review Exercises
Assign. 7B Due
Jan 7 / 8.1 Sums and Differences of Functions
8.2 Products and Quotients of Functions / H/w: Assign. 8A (8.1-8.2)
Jan 9 / 8.3 Composite Functions / H/w: Assign. 8A (8.3)
January 13 / Quiz Chapter 8
Exam Review (C1 - 3) / Assign. 8A Due
Exam Review
Exam Review (C4 - 6)
Exam Review (C7 – 8) / Exam Review Due
Jan 16 / Final Exam
Jan 21 / Exam Review and Student Sucess
Jan 23 / Report Card Distributed